sol... II - cap16-dynamics - f beer & e russel - 5th edition solution bo, Manuais, Projetos, Pesquisas de Engenharia Mecânica

Baixe sol... II - cap16-dynamics - f beer & e russel - 5th edition solution bo e outras Manuais, Projetos, Pesquisas em PDF para Engenharia Mecânica, somente na Docsity! 0000000000000000000000009090000000000000040000000 Te the bom fa temnc fo emilio Ghia, We nel B>0, Whra ba « qust about do Clal mintia gliod À, me hove' EO ZM TO dg dese io = La (34) sin 7” ã l6.3 £ : F 2% A 6 AT A ZE — A . ABZE=E(Ee: Poema >. P AM “ ack= = Ed = 3,20. mf, ES «4 (OS EM,= Eloa: mis -Z) At = ma (2) A- we 2)- ma(G)= ma(1-&)- P(Z =(25tg Nany 5 )- (on tp) 8 h z Y > 3tr We how dE SEJocato do yuis ft A = eHrcm= SBD t lhes Grant it oba do side: F- E-MN -23N HZE=07 N-W=6 nl=ul : F-â3N os DZ Meg WC$)-Fh -Nb coma (b) We -(oswfih)-wfis)=- 7º ab=g (06h48) Sgeta = 314 [o 6(S PE) + EVT) a casa he a=g col TR (822 HAº)cob 78º Gab N- som NÉ ABM W” pessent . B-w= aero «ER bt ER) -28m, Esc « [6H] Geres ara tomemadirço To Lg = Cy GBÃes A ce 0 b0/p.65 Distume Ertmer cailar ane Floor =AD=025m+ 0,35m= 0,60m When cord ad cod be in à chaistã ines Al= AE+ BC =0limtltm = 4,65 Mm cone = AD AC = Agom dus m B=2282º e) AEL=TM a SÁ, =5 rã WCe)sme = cu y ma(C6) emb e ” c ME Ma tap E = q tmb 0Bmk)an 12,62 a, = a-somt> A OS 25-20: Tsind= mã =emg tant T=425 N -« 235  fa) Ebur-wneel drive 16.6 7 From solotiom sE Sam 16.5 aa e mê Eca ÉS Fam , H=075 Fa AM Na % é H 2F,=0: Np+Ng-W= O Mato = Ws mg Thu: HR AMA V= A, (MAM) = MG ETr=ZE: B+ R=mã dmg = ma A= 1, q = 015 (Aim fe) 27% je (6) Bec-wheel drive ado Ee EN Pet, E 0.65m my (12) +Na(3 )=mã (2,65) =Fossa+ 24) FEM, =0: 2 =m (016258 40,34) ZE-DEe m (0, led5a+ 0 89)ema a(i-0.1625) = 0,3 (9.8! m/s?) E = o Isgalnbime) €) Fromt: wheel Arive PAN EEN Botto 8 =, E = Copo Loo 0.65m A | A B TR Nite LBA Ná =ma +EMgqão: mater no Jemaãfnes) 4 = F (18g- -0465E) Thus E = MM 075 Ng ato -DbasA) &2h-D(Ele: mma m(0.WSg-o, Hba5ã ) = ma à (1401625) = 0 4S( AMÃ) A = 0,3611481 nf) E =360 fa af a=351 mp q) é (a + ado TEME LM! -E Mg É ZE-ZEe Romã Ae (EW + gã à)= a= DbIa(she(as 2 Ay CO Tags z Prob. ted Ny (1248) WISH) = ma (14) E sl diriipte Entornhy accelera ted motion: = agi, Zax (b) E frei wheel brores W ea E A :rB pa “A fai HEM EM WOR)- Ni: Z Aê 0699 al 2eth?) 2-5 025 tas femig aceferated motion: "a? V=v rar Z-36.8 fr Lts grecore: O =(Softie ro (ie ccrtgo)z o) Rm My fa = ie (ZH) = 51H) E = fo, 6%9 4H a Z=42.5 tt 0 = Completa «q 236  + Ro DS ONA Ni [6.15 ) We fact check that barco artusily siries — [IG I6 | Gee solufion of Pro Tels fr diagrams by deteeminios for mese cm, df 4h Coglinier and derivatim of Egs. (1) throuoa (5), required “ae impendica mai avi > ue d aa penca o mitos Diriding (3) by (2) member by member, we have Do No h=03g+ONSaA Meg tugra T=F= BeN=pm a W=T Subrtituting She given data, h= bm, He =0H0 5 Mg eg AbfoMog+A) = D35g +045a Me Hint €) Ol5 a =0.06g as 2.49 Subs tilutiag into (5): omg = Te 040 My q CATA a O mt OM, = Me WHO Ms, - ONO =28 - Ms e mo = SÊ (160 dg) = 21,3 Ay The Barrel mil not hip for qm < 213 tg -« Noje: The abre emalgei X valid ong if he barrel sides. Fri 7 (1) ef Bob. do.ts we note ho dE Will not siide fe Me Hom =ove(i6o ta) =768 Mg, fisicos, we Prey che fino sielio She É bene) ueilt net bp dar Mes 6 Rg: We fere TeMg=783 and 15 TH; = Mbogho3-(sgnog= +79 >0 (0X) [16.17 : 6 2E=2(6: TF=ma a BO... É A dcitha data (Ds (Ms 0.25 (125% )=. 4475 Sinee mas 60 ta, MM cder à baceel arhally clides TE Mg Ama o =: | F T= (Mg +ajmy, (2) E ma [ng 0,tm "a DEM, = TM (ote bemol abuot to tip): +; p ma ne Th- ME E(DIm) = ma (dusm) E 24m Z EB bas Taj (8) ehZE-ZF.: Ímgesb=tma Egor de att Er centos cs azposo (D) | WD DEM, = UMtolg! ii | NI-Tema - Fra 050(08m)-m(o, vm )=-Imasing(0, um) - macasa (0, 4m) uA T=(lg-a)m, (6) | Fez Gà -fmaltto 4!) Lj ma a) Equadine the right hond Subetilude feon (1): E = tg (CL -Esind-cos6) (2) mew bers mn (2) and ly): — ao Was tam,=(g-ajm [PP EFD: ot Ep *Ampsinô=o ac Mectam s (Do forrlhartogmo (o ME, Given data; mo 2 by, ge RBimbs O =30º Given dale: M= Sta, Me =b0%4, Me7 030 Ex te): Poe = (Maio —2 Sin 30º cos 30") 2= rGanEo q = 0. M2162 g = FS LISW7-1-0.8660) = - &I7E N A = O JZI62(9 Bim) - . MF CIENC -0, (3. 8tm QE /IIm—s «lg (3): Epo (- 68B)-2 (208 si ES (Db) Subetibiro fer à mel quere data in acto). =6Me-Méi-RéH ESIRÉSNC q T=(b30g+0 2162 g)fas)= 5200 TE TEU a - +—— : : “em DF solutiza OF Prob Ie ifab Th = (Ásgrous Hope alas mena ER me? ty 3 mo dire Thos: p= Th o LLHA - DBWm =Bulmm | RO Td As eocin6o!) The b 7 nf & =A.8(2-4132-0,5)=— 2,276 N, fps 2:28N € « 1 barmel wii rol tip for h<B4mm pa) -MAXABD nd «4 (AMAM ea EE SINC 239 C00000000000000000000000000000000000000000000000€0  [6.19] alte dE inhame ne membas ACE ad Dc& Care ne, 16.20 Phe plate 48 in coretineso. fransia dim The, reg mass Center E hos fre some atceferation às B, e mass, their affretive fintes mam also be negtede Fhatis a ame te methods af ctatio mag be applied to Ei Ter their anatpeis ÉRção + AV 8, Five Best: Entire Lipkage.: Bm ” a E 52ZM,=o: To (ag in sind E Ta (Bm elfo 20530) Bio. AÇasM aa A dá AO! - -B, Go sin) =0 D D E & —— B,-E) 30'= a 2 Co musa” (E esti Bin “e ANE = ee: cnc 3 = mA A fre Body: Member ACE E = Mes 30! = q cos 30º But mã — Weos 30º as found aboe, Thus: 75W- 30 Acos 30 Woos3i (AF sin éOT 2,5 cosso”) A= WO -fsneots eos gu) = 011984 W Recalling that W= 20 1b, A = 078% (2016) = 2,2768 th Aziisibt «4 ç WEM,=0; d=(32.26)5Jutis a=enrtieges | E Ali essso)- E(ises 30) =o é ses g=unttbiço «ad is b - E=A Oy Tr=o: net Ta Vsiniê=o as sema Carrging into E) Tr +T, COSW c) (By tJeessd- E Simsd=O (2) sn Tm om Eguatims of mrptiom ter meter AB Hétes eae Sine member MB Corvilicer “oonslabioa, ifs (Be sinsoc) He scosioke)H Tasso À mass cortar 6 hos Mo came actelecation as B, dris Ha asso e j=0 fhus prprrditolos do BD, or «60º -3,7282 gw + BT = y = Ss alias Sosctioe fe To, fera aJinto( H): BASS mã 13957 Ge = 05 W Tp=a3s8zW “aan” O Me Ne From (2)! Ty TO 34SI(MISOLW) a Outra” CT ZE TE: With Wo dl! q =S73 bs T=227tb 6 (By-AJcos3o — By Sin3o' + Weg 30) = ma ET — Kinematies . Since toe plnje do ia ccuiliar Recallios Es (2), ve have . pets Fmelaios, its mess certor E fear Weos abra mã A - osso” =g e0s30 7 atceterao e fo nofe aff a = tanto Es QNT (UA à. prol a cirrtar ros 8=025m centerci (MT Mo = Elle * SMA E=8; (o) sk win )- A(soinJeos3l'= fma sinsoXAS in) e aura -(mã ess Bsin)| att mis <A EH asi A 2 AA TIA SÃO =(B4p A BInko)= 78,58 “mas (6%, XE n5) = 46.08N . E je tia TS Eguativos of motim a à 3 Qtsm 04Sm 47ER=E(Gho! Bot her 7A%8 costo= mos (1) +) EMp=o: Gscesto o 15) (Fra sen 30) 0.08%088) pos 400.15) KBe sinzojlo, corda? o 1723% É “o 087%6 he =0 (CONTIN VED) 2%0  16.21 CONTINVED] epi Ego (Dane (2); Pu the M4B CSI = REOB (1 dt Tie 0234 ag = 0:0P7%6 Ro TO (2) Sobra (2) fm Fag nd sobatetoting into (1): Big = 0.5075 Ee 3) AS07S ç - 67 TEL = 46.06 Be Vá 657 EE ETNT A Temo (4): Ego O SDS (9 6C0) E BEN TM The component Q, of fhe accekration é be ebtarmed by wridina MTE TF) ess Wen zo” = mão a b tin30'= ALg = 4505 mg 16.23 Kivematics, Since fhe Trshaped rod is in Curuilintar translatron, a] potnis nove He Same velveity cmd same Gcceleraiim ata gire instant, Thus the vertical camporent of “A is also Httfst, amd the vertical compument of 8, is also IS H/st f. z = HMA — EA at There fere a " EE. = atá o" Aceleradims é z = 02% Ff £o, od A SimelAn), EIS AME ne write (& tm (Gg), costo!- (Ba), és 30" = ps ti" Cana costo- 102% cos 30'= 18º Otan) = 15+ IDG esIN= 103,68 (iza) e = 20736 HA Theretae: E cpa) 0 men 60? Ee fait = ATI PH! dm 30" =(24) (1885 cof” da 5 ã - pi le - 26 16.77] We fit detfecíviso the actefero bros F ] | = E] Pot o quit Bel dit: | 0 =/BOrpan = 18.85 rodf LE mã, 4 - ATO 3OMà ZE « Ely: PostoT Weed! = mãp asP-as(blh) = 38,639 4% P=-83,3% E) GE CNAE Pé 16,24% | See solotion or Prob 16.23 fue cefemingtim ittn rnms foto, de= = 39 fh pes E essi at Be Es Ss 2 Mg g E a = . Y w =s ma DENT G Gn = WES is j=- mA sin6o! (sin) Sime W=/Sb Gra mão DÊ (q3,4)- 00,3% b: JOG (iso - HH cine (US)=-g5. 57/15) 26 TuiTeIse gor » Gr t0zs4 5 =b03hj «4 B-W+C = -mã sinto! Fa andian): Cao toz fi Cane tia Sine (A), =0, we mass have Cod (dad cas 68- (ap) cosas” = O (a), = NIBE( HOR eta) = 17U36 TÃO Thevetme ; Wi. € º nz MA, = E (/024) = 10 do po mã, 238, (17236) = 38OMA (4 Mo 30 Egoalims of motion pede - SE z — iso a Pl É RT - Zu: Peos 60 Weas bo = mê, Bo WC Lo (sinto =)5 +40585. 95,57 ASP-OS (EM = 55044 Ep o HAB 5 40.364 «4 Pe 72! tb «4 24]  16.31 T=mE = IB (8 mo 248% lots? 16,3%) Wem T=gma” Temk EA: Hi) = Eu Hu) nero tia! link AB is à fun-farce member. = 2(M)' - 125 = 2.48%% te ATE = 2a! - K = 05037 radf “o E ? = o. Prada Ebro Taste AS É (6) Tas: iu e” Uni mety aecelêratod rotatiom: p= (2007 pM= 1257084 IM = TM: Fo=Ta ut sia O 0= (Rs7fs atos jo ot= Et — — fat ae 8=15700 rad X To gm a 0,30X48! =37. eztiorer ao OEA Dan ac =3 : mio ad 16.32] w,= 36000pm = 376.99 raif , [16-32 | EÉ bin = 7/0 (603) = 426 5 6) w 6TE = Ae: = AE DE 876904 ue (h26) PN = (Foo), 5 a=- 0. Betgsradfe* z ! MN (E (O — Tom b* 2) Fran tu ATT = =fes Nf oziom) - N-ui t(Ge), =O =t01,30 tgem W-N = Toe (m EM= ZlM,: M= Ido (1030 tn (060495 mad) | Dedico (1) ba (5) Jet — Cod d0O M=866 Nm af “ao com) 16.33 W=mg Im Man = AM Ns ebiv am aa = 273 DE ole bat link DO de a duo fome momier, vem, <3! me M 2000 2.9302 M) = 027984 t 4 e AZ =2(Fhy: a- Fê o. 2a Pt = DSTBLG nSBedam M-Wa o Togme z q 5 tis = 36 Sat a - ue: Potan= ti, | 10.35 | Kivematico: 20,=2%0 pm 225.53 rad/s FepaN Thus Pepe = [16.35] BO rev: sotêm = Pré 2 rad WEM= Eae: Pesto E WpraO: Or(25,133) +20 (37694) os ate Wa ai K=-0BIE 4 =0,8378radf: “- “gue Fw t tomo fer Flyer and jm ot morm ter Flynlhwel ard : - efe soaeo. Efu im d demo Md, A = rsom Sta Ada? E” 4 e H 6) LZE= ZE: P= 45 quétiss Ta-(15 Yo8378 ) god 130 o) (o) -Mav=O na VRA - E =MeN O ds “e a 2 DEM ZM 2 dy sã tight FOR) = SET Mott - N-W (Fe), = O F= 15.08 1b (Ro) = vo Oletrmo noE- (5.0Blb - 5770 b Pietra é (O) by (9): A Man Ee S00 = 4 Eguitibriom of trade Ne DTM =0: 6P+6F-I2N=O du = SU = HW tow a Mens + “ae 4 Pa d78,50 | P= 3N-F FM N=0.30(108/W)= 03243 W/ gi. = 3(3710)- 15.08 DEM = ZM! Fr=Za = 78.07 = OSMEWED MEMES . QeYBE(LEIA) | - a= Ee ra. n6m6a , ces ano Petro dd & = dd radfr T to) 4 6in. 2ty OCL OL TA SE ST EC CEEE SEL ECO COCO SSC CU CU SO sas SOS 000:  00000000000009000000000000000006000000000000000000 l6.36 Equilibrio sf fever Abr (Dimenstons je mm) +])ZMe=0: Confr00)+ 7% (wm)-T,060)=0 HT, =250N (1) fajuhee! and etrum mk* 00t4Y0.600m)” = 108 bigum* t=0,/00 m ho ho a tee q D a Zt-Tt= EK (T-n)f0100 6.) = 108 A Qrs92x0 KT-1)” o) Peso 251) Siabies bios Ps netena of hs Sire Geahe bord is SHpprgo Mafo Pap = t=Te (34 PH 5030 nd p= JOS Trad TE ar f=L5tesT (4) Cubetifolong Eee Ty Lois febinto (0): 4h -1,563 7, =250N T=17h38N tem To MIR) -pSO B=4msn Tobeiulir fio Ho A Tinto (2): Lo (Ep Ymast- /M3E) x =02529 retém Kinematice eo 80cpm3 = + 18.850 radke 16.37 CONTINVED] Kinemahis: T 5 180 rpm 3, 6) =+12.8Dad = IMITAR, Gr biTEBrade = tt: 0=(BBSU-NIP6SE E=ISh6s 16.38 | Kimematico, Same as for Pro. b:35, except for ctuses Of 0, ando. We tmus have O = 08378 redfsi> Melim of fly wher | amd clruiy Some as for Peak, 16.35, except that sentes of Ty and Far revmied. Ecuilibeivm 0P Brake Aa +)EM,=0: 6P-6F-IBN=0 | f P=3N+F | =3(3170) +/5,08 . e =/28./81b P=/282lb « 16.391 kinematics 0), - 360 pm = 37,697 radg B=ISmv = I5%oprad Wc saAO Oz (LEI) ZA (157.08) &=- 4.52% radh* (Sense opposite do 8) K= sa rats 3 Egoation 0E motim fy sasheel % = !Sino n2sff VIA, = DM! Ter Pa = Ta = O P52fradfo) X =-0,2527 rodh* Topo EU - S87(MS24) = WE: 0=18.850-n2517E Teo Ts Fes: A T-P= 21075 O, 16.57] Um coiutim ef Rot, 16,36 vp to daihol line.) Belt Friction? We recal Es (Bv), poge 351 of We recall the following equoltons: SFaficS (Xu ty insieod of 4, since band brake HT = T = 250N (CD [isshippis, and noting fast 75 Pad G=7: a(o YA) () | Eceftê, 1-0 quis P T=Tetet (3) | abentotinç into (1): , etitoting into , ! Pe ZL0 P-78.6b Making Hg = 0.40 ara fP=t80=Trad in Eq (3): ha P t0r5 TeTEStT º 116.40 [kinematics: Same as in Peobr16:39, except A Te T= 351367 (8 Tirol senses are reversed: Ark SU rod) Subsfitulina fo To Leom (4) into (1): Epcatimo CE motim fr flywbeel O 4735136 T -750N T=s40 N Sermalotos Trent) T= d(srO)-250 %= 1806 N É ias data SubeliHutar Se Tare Tg info (2): a'= (935054 10X 1006-514) ME IITE3 rot (CONTINVED) Ie g f = eu P - * Pa-Te=Eo, P-Tc2h075 (1) 1) Mes HMtdag: Penta (CoONTINVED) 245  Io. 4ONCO NTINVED eae 16.41 F Dik 8 Zimtn = E 9EM= Eude DO ri F , Meio = doando €) a A . F DkB 4 = meta t +95Me = Élradas = =! 2 E fts Et = dé de F-R=4 Meto (O Add (0) antro: A cen na A Nhda Et A ,p= 046 8 Xg. Thos: A = ta tado + tao) Mo = Mattos À, Hc AM TZ > É Fame Z0, With given lada 6y = Dra » Mesas . 16.43] Comsider polleg and collars às a single systeto Egofmolion yielded | PrT= 24075 (19) : Belt Frictiun ; We use ER (BI), page St of sitios | ROM *g=0./8m a mat nie note Fat, sime mis 5, Ppuls amd Tresnis, Dc tado thatis, ET and Ta P: “e. , Tcetef, Po eSSCO 17327 (+ = E -(erÃo13Sm) A Ta cas P = 0.098 Agent - Tm * “o Subititoting for Tinto (1º): A 8 P-g.57mF= 21075 P= 49.8 4 «é E) é Cm CM (2) +) EMç = EM ess é (Age, (E ng)o, = Tt +(246) ta +24 09) ta Cià Esta) = OOPS A+ LHEÇO + Lire (2 KB N(0.06)=[0.10935+2.4(8, 1742, “O. Bra LHIZEHA — 022167 K O = 63707 ruth? (b) Kinemafies An =bpX=(OITm 63727 adfo) & O TENTE M/S MEG Hapt=0+ (ozeuIêmps (2.5 tanino Mt mA ta WebITrAda M [6.44 | Consider pulley and colors ax a singh susto tp=Dim Ftoz0lBm da ts e Diga From ta dm=tp dg: gata ep = Dim (22,5), d (= 15.00 ra 4,548 16.42 F Disk À Betim A EM Md: Ea ty GMata “o, g E-h=dmaisã €) DIKB L 2 = 5 te a, DEM = (Mao na Elec 7Me tds F=E = (2) AM (Dand(o): &s ces fração z Bah ap tado do Ta: fi FU Mntndat mata da) (36)g CAEM = TM CGegta-(itg)e = Tou+(3.6%0) hp Hh2Ag) to (Seta iZLa) = OITO SE ARIZHa (B6xO12- 6 2X0/18X 81) =[0.1093543, ol enaçorsiÃa 2480 = 0800074 ERRA dg = AMO O = 10,59] cujo =IOSIni) % (MAM Vith aiver data: O Om “emas her dd = o aa) E “Ed e(otemi(io 5% red) Ca = 5DO coa = 42709 rel Fen aa data dg: Aos fbo, = Lim (1.00 rede) We Votat=o+ Craros qm pefo. ss) a = 377mbs = Sleml «4 Las IO DOrAdÃeS «ad A 246  16.50 CONTINHEL | Substilotog For é Fromf Sinto 16.52 G)and fi); We) - Bite] Mo Both Sh cg Go Mp tr Ma Ímg Turra 2 ao Hg = up BplMechia = éh Ba %, 1º maia ? nto 26 yo ZM Soda Mk w cite rg %e Zheg Vertg “8 %a mpi; HE Gai? (| 0 Tel ds aprerad that dp aert d, Y ioiepedet of Ago Bnureces dE MTO we have e (8) ps Ni) by WD God Wa =D. 1) te cas ho FE Me oo Es tolice malma)D E: “tina Preroh deprede nely DITO ASome pref no clippis vecurs. The: reg <lrin) E = Binkis age % (1) Citado A opor o, and mare Aggunie fhat no Slippive occurs, oceurs See solotim of Pro. J6.5] bp fo te dasted — fine. We obtaim % Ze RB Set |, N=sbiadã P Ns E = bon - 4: A GE OMI p= 1SMérodpeS Fe dt 5 cave) count Fem (4); z 282/ov80) = hbto b But Er PANA oso(sib)=2,80 18 Thus, Fran & ar deth <H. Pre E no cii. Our a seem ptim nos rr] hogen dirshs and belt «ad Xp 215.46 md/ay EE (O: E = 77300 «a () é) (3) P-A-Bro w 4 DEM = Ties cb6 mia E Elsa ar E” (e) E WEM= Mede: (84) = Ts D+ FB) (rr) 9 dg «Sagodé q = 086 p= 27 8 redes 5 Check Mol dote dus aut ship: Fr (E) = f(086)= O720h Fm (4): fe PA SA ANO = 2.88. But FMM =uso(sbj= 1,50 b Sine 5 > E assim lion ig wrma; * Spirou de tem dt 8 mecurs be fween disk 8 and belt «q Me rerlo cry lyeir af By assunine shippicçi (Mg PF ata) hsmN= Ouolsib)=21ib Selectis 16.53] Castor À r EM = , A 1» Fe % = (9 A RD h Ê Sirte 1,80: eo linder Lg HH wu a= tz5:2 Wsnd+ã * Sin2- Substiivtug for Mg fev (2)into CU): Ma, =pméy Sd eis ciig AG Ph acid x ans q! bao mg sine, nhgtos tb Absnid=o Ms ma sind (1) Tear: =1% Sine roilm 8 stipe or desk: bo = Me No +IZM Me: R soly 2H o e €) (Rem: sin (h36) “4 Cos 2bj =D -Agcosido BN, +02 He =(Mtã! - AM mg rinb a ibaBSind (60) enfgsd=r DE) meira) Scetmernaro” X =0.39, Atuo 1 [16.54] her contect je fo be dos with caster ai la 6.54] fheçe ie 19 resetim of dr, ' bett ao: P-l-h=0 EoPigsato-z=ttod | Wong +9Z4,=5(M) Since $€ Ta, Lhereis no ehy o betweer À and belt al Wesm e Io Oorovel ps of Dist A, Jherefe is valid, Vim Em (2) qu ao ? : na 4 Ep leo, mgfsind= mia Leon Sb o = 1429 = 6uB red af 8 q- ndo « 249  16.55 | Me Roma fra tre The perpendicular distumee d fem 6 do fre line of Gefror of fre Single vectr mã is diem ve fre creci 6.57] — - Ce) fnsplor acce ferabiv, Foxtes be reduced fo he vector ny B 8. HIM, =T(l PE=Ia at 6 amt fe cople Fa. he Fortuer demone fecis | gl Za or dent Chap. 3 df Stetius that a fatia couple sustem iu HiF= R à plane ma be for her reducea tu à single fome: Em , ma x Soda, P A =JE,DO red «q (é) Aceelera hm of & SEB=-Z6y: Pomá Cc) Poirt O vit no acelera iron T(gxam a)= 28x bw; 8 +34 ala maxE) “E 6A meg =(8/ am )xã +E[tx(antami)- 0" ELE; tam Again, Since Gis the mas conter, TE Am; On the alho hand, fr cock parbike,. + xtj=o. The expression oblmined reduce, to the middo term. ya Sime A Lib), we have ix(ArE AO and Elexsma,)= 27 fam) à =(2e;!40; Ja Sime Ze Ang represents the moment sf inertia I abot 6, =(txtm a) = To () Trm (1) ond (2) we conclude hab fhe system of the effective forces reduces to a velar mã artached at G and à cole Fa, « teiod E + = -H- cx ente. umritino E : TM =2H: Ix=(ma uso ps 8 melo) = de mBia ds BZ Al astra or MA 28: “ao. «| or: B00ma 16.56 | kinematics, The aceeleratim of pot Bi [16.58 [o Em PR A rAvána ) 1 As Em co ATIRA px (ON? 4 “ e Cds tente ' | = 6 SÉ DIM Bla: Ph-Zg toh AREA pars As mão PAsguity Note fiat AXE; pespenditolar dot). P - R “= topi, e o qe Thus, fe efLechivo fones are as ghova in Fig PIE 56 “A A Est às =a-fia =o E Gnd os repested feras, E Substbting from (1) and (9) into (3): [amas Beja AA = (Bem dd Pi BPhlo pol LL LCauorm) = soma £ + Cam) (etxei )- (raia! mo 2 é 4 - + já É t . e, or G00 mes from À ONE For The Som of the effectis fones jx ele za nXo BO)” = 4.00 MNA Ema Trbmia 4a, (E) Fim (0): = RN Dm 64 Ea da +alamltond Perl): À Sonia a =h800 “mf —E(ôma e! mt: A n50%g, 2=h fe = D(4M)+ 4XD fome) ut Efamle? 16.59] Point Cos mass center m=E Bor Z(am) =m= total mass amd, since G js fhe —B e tes na Mass conter, we have Slfo;)t; =mÊ' co, Thus lt g a. se Zum) = ma cJ =(u s$6) The Sum dd he moments about 6 64 the effective fores :3 E ” P=3b tac e z Enjez to e; inemabiis + =) “Ppste ja(a) ama - ag + i(osta) caca =064 Enio (6) ago E-pA Tag og = 029 2 esti a] 250 00000000000000000000000000000000000000000000006004  ã = K 8,05, (EA d €) Aee o! tape redateve to O =Hm Nossa radpa NR = à ad E EG OMG, 6)4,2h= es: Pomã B=bE d=iebeago «q = Asp tx Length 3 tape ond = La, nto É prod 49 = 7R3ja. K=773 rifa, «ad « 16.63] kineties: Wet C rio (as 235484 (6. 61] p Fltion (ANNA Alt G rochedo Err (: o) Witicol roctris except D! A Th= (Gg: 640 n= +126- Ze 0=/20 DEM Men: 3Tr= Ia 3(Ib L0NY O Bm) = 42d [7 18,70 p= é Es Telbionl pg Tien anc igotg, É 08, “fza ienes bp 2F- Zig O= mê ao «4 DTM= TM NTE = Io A ido nknBm) = 4320 «x 4200redfa À =X =-fizoo radios, ad sa, =, Soocadidá aa Z=- de mB) = (Qnotyfáem5) T 4 2a, =Jout tg" 4 E mã + im 6 = ed)Te ui em [br] | W=IZISTAN têm EBm +Zg- =]: Ta tTg- W- ma WtTa= assume 2w0a Ch) DIM = TM: To MBm)-Tlhsm)o Ter RB (18) =30624, TT = 640 A (2) Kinermaties : º ah a gt Crdttas 3) 2” O, Coy rã ter CH) GL lay ed 4 - lt (2,), = 7mfo? te tem hBm (ag 3 Lo=fmfA* Subelrtoh tardio): ArhBA=T cs” ã-ngd=! Ce Adira CS Jara (is: 2ã = 8 E = 400mpA Sabteitirg(h) are ( 2); 2606, = 1.687 rodjo Cowrqrs he values frond fi E am ol indo 6) and to: RA T=23SUM + AMO (O) = 38 (1) Ta-Ta = [69.0 (667) = 28467 eo Aeldias (amd (2): 27, = 35761 84 À Sutra imgl2 1) el) Ea = 3032,2 a =/56Nº 4 16.6%| Sec solutrr cf Pi.jb.b3 fio decitation [16.62] 62 T=lb.20N ZM = Te= Ta We zom(o8m)- 432 me RO dg E 1aodg (o, bm) cm by (3) =487 hgem = O 300rndfe) of Ega (1), (2),(8), art CH). (ven: F= MON, T=/00N Sobstilute in (1) ara (2): o 1G0ON + HEDON = 354pty N +40 A AMIN mf faoon-tboon=itana a = h77SI rod) Chmmginy the volver fauna fo À and A into (3)ant Ce): (Em), = 4773 FAS (9751) = 197 mf? A MI — 17751) = 15780) (ea); = 473 — 48 (ih ) FA cables: a(etooreilig Bs mp f «a EF-T Es (oaont= 120 So ITEM A=fo somada 25]  F- AN H ZE =p: - N-W=D0 N- Vemy ZE Da Fomã Mmg =mã d-Mg—> () +92M,= Moby! Fam Tao Memgt = TK (2) Fe sphere: Tag me? Memgrs gmia e-2 68) 0) Kinomatico: 49 W=m-KE = tese E) db V=al=Mgt s Ms T-Wt=Mgt-( O, sh W = EMgt-as (6) Wher sphore stats colliny (t=t), ve have p=: TE 16.75 | See solution of Polo. 16,73. fer Aiagram and derivation dE Ee (1) and (3): Z-Mg—- q) 4 = 7 May (3) Kinematio 4) cat = gh (4) “ 4 T-Rt=hgt €) E úcztewt= Mat + tea A=SMgL Ca) Wes disk starte rolhoy (456), are have : a As% EMegtio ' Sad « Cb) Substilotim for É in (S)aedtr) Me vaive esund fato: = 2 0, - v= Pes ps) Fan “ Y 2h o) a=5E) Note. We check thai T= U- mb Emedócae=o 6 = Em <« I6.76 | See Solutiom nf Frob, 73 far diagram amy derivatim oe Ee, (1) and C2): Subs fitoti n emio for - it ng fr É in(sjard 0) freio Post ã= =M 4 —> 2 T= M$ E bat F-lgto dl Me mgã = Tx 6 ' o Re 1? Marins femê'm Eq E: mm faa(; 25) 3 55 6h) «| ama = me 16,7% | See colobansE BRL; 75 7 Algum A = Lages (3) ———— and deriva tina of Tas CDand (0): K = Me q-> o Kinemadics! Pwms at- depor (8) Menção Pa o & P-dt: Mgt (5) Fr dist: P=pmi Memgr=gmta E WrTemt=Matas agr a = ea 3 0) 4 6 T. 1 E Kinemahes: +)u=w-adt=0, - Zhegy fu nec tg É) o z Co) Wher be cia 5 raPing (e=0 1) we have 5 D=at=Mgr cs) 4 =T-necmgt-(as- Eta gia W=4 degli tds Jes= =" 3 SE a), lag EXE E, = 3H] + = z GB) When diste starts rolimg (F=1,) ve have ar zo: É “rp 4 Ihegti-mt=0 gos AE « (E) Sobsbiuting fo tin (S)amd(H) the vale ford t, 52 (E) Substitoting tr fin (Sana li me value Ex «nal É Fe et: 4 g o am valve Found VM Peg &) » Vey E «q m=Mag(s 8 Vest - gta E at mat ug e) Cm) 4 mio AGE) ga) af Note, We check thaf D=U-w6, Note: We check that Uz0)t in both Prab 16.78 and o, 76, 25h 0000000000000000000000000000000000000000000000C0(U  16.77 a io Ent im E Plbi6: 16.79 continvED| asEx +Brk£s)- mê, o m SE” 5 EE-ZGdp G-P=-mã 06=F o = es a Prmãs Poem (49= P-fEW= 25p-28(64) aiu (ofmã Dé + G=-074b Somube «4 HZE =! G-W=o G=W=6h G = 6.00h1 «4 We far ele hab Me Sem of olhe vectors é the Some dote fi Te fimose fio Cano gundf he momento 255 e e º e e e º e absl 8 18 have 6,80 | See solutior i “e . ot Frab. 16.79 for diagr o |ozt: ZH, Eu =(mã, X6P) - ênel derivative 0f Eq (1). em e mt « = mea (so) SEE: G-P=-mã º =F (bEDd) 4) Fr Cev,une fare mã=P LP - -£ O ses ticses intatioo ond the center 0F percussion RARA e CARA O eiimsgendte ddr, fre rrietios stone abre | Sme G=EA: A-A=ig (=) or: de pro “as a T Rx o Er É ca Go=Ê. Sub GU for x fr (2) into (Dand nofve dhal Rê fab s. Hr, df Pre reler e conter af ynladrmi, Hry 2 ; O [iii to dntitoo dir O 58 2.4 Cort o faz no EE CE ETA) 5. /€ = & EJLo E + e Espe Gas E(E ti) e A E=gmi” b=+Ê Et , o! T2z z é o|: E coz = Eae: re L/20in) esc 4 PL= ema) 4d “é e | as o Sobetidotimy fr E job Eq (0): +O =(m E a)E ademlta as 3 Eme | 9 Ea esmo um Sá 7 G= s22rijo) g-3P. =fb radio Atternate cofobion . Noting thaf fo have no horizadal e BE (2a Vet K=26,0 "4d A) Pescton Je, 2, post 6 mute tio cantor 4 perco, a Lg we Fome frsu e 2=[4 estrato) = 9,005 + c6. E £ * e Do Bl sto, Oo Dezr-ra aroma 05 SG cm + We fren castint fr E im “64 (9) ) do fint x O |4=Pmisnn: pd Ie-18=-6.4 o A-CON— Wemg - or “a â-ta-ca O [tIs=zAD g-v-o - / e = Perg O titan 4-6 conta I-fme” e 1 A =L mi? o era Í a=Eu Im aa Et EA P(Zc)=(maJE + Lot o £ Tê Et) EM = Men ZR =-milág)indo 6 Pal) (miE , dra EE) =tma tdo gfe-las ando º N = Emas 4 a 4 P. q- E E 2 Zon =3m 3 npradhr e 8 HE 17º me 17 (ER. Em) jo e . C=MeIch) af o x x = gato, dm F=ta-Sea =a(O limas. aryrads) = = 48 met er: E 6 ly (o S0in= LM Achas DA, dai A-P=-mã e ot = do == £g A =P-mã =2on- (etnia) = = mm « =27 GUNa e K=$(s82) X=226 cho) 4 aro (Zi Es e (ConTINVED) À = Wi=mg de duas &=s8ant 4 e e e e e e 0:  TM = SM: PlTHO) =Oma)Z + To =tnTa iss mew Consider the. portim af rod A dengta d-a ari mass cm? = m E We have Prjct a , Prêso)= mfErteie Tim (et) « AZE-LE Pora o Pemix (62) Ze Substitutos fa Prom (2) info CX 5,85] 0) =/200rpm = 25.66 raqá s=o mão (Pre) mam (Erica pre exerind dy shaft an Elyuher/ = Eco fé Esto = "e Ecede” Fte = (itomm) Tê HTE=Zu: = B0m «4 Wr 6000 = Mão (6) Substitote fr Tnb By (2): Wecovo = VE () Prom (ix a= 2E =Ê en =Hh6Tradja 1) é Settradf) (2) Force exertms by Shadt gn flgube:! = Gz00 Mi Alternale colobior fre partia): Notirg that E must be 5: HAZE NE ne Conor af (ercatbior TF Pe horizoo ha! crer fonart ol Fe ra reactio et ris do Le gera, me home ren io. /6,77 0-Vemã, Ge Enf o des jo p(6Om)=Boma qaeo-w = * (e) [6.83 e dor À, =0 4 A ” sumido E sao atop+W=O 1 “= 4 V=i0b 4 ft dli=im o S mê foda (Dma (2): 6o0p + q2m = £ WE w Li ao R (30 =2 680 (SaejE, E=000N06 = O Jóia E 2 8 16.86] Determinatios of mass center CH) ZM E TON Ph =oni)Er To He determice Fhe centro x ma É topa) tema Ph= mix (1) CLAIRE: Prmígo) (3) Sobetituhina fo P fam (Dinho (1): P=mã (mGu)h = 4 nba A=8L =2(150mm) h=500-0m - «a E) Solim 3/3) fm a: Zrtan) = 16,00 radh? A iodeto) ad ftttecnale Solotim for part ça): Noting fhak the force P TÊQ ANT) =0 irjee 180 mm Z Ra dz = áDmm £,=300 me Ag= ma, ECA A)=Ã, Ay o - trole ZA =5A,-Z 8 or Z= E fião Ao oe Ar fie FO)” nem eo “mm Nineties E=6.66/mm HAS center E CAcides vira Cewpuid €C. w) = WBbr pm = 50.765 radf E = Utc(6667n0 Mm 50,265 rofo) = 16,844 ma must be apnied af fue cenier of permesion Pif EF=-E/Egi Acmã =BotgNis tmp) Me hortêental compment dE fre venctron af A=SOS NA RA he 20, we have From Pad. lb 7T: f= -q E él: LoL dl GP: £- BE=ÉL, bogrç= SEcS(18)=500mm 256  16.95 | gi. pps E mãis à a 16. 97 | See Silution ot Prot. 16.46 fr derivation t li A — [mãe] NEx =(Gffsorsdt) Ira) od nO] Lo E Fe bÊ 20 imp E=6in =(É fofvoraak; (9 (= 2 (8) ney] =(omntcdm =200 HH)8 (3, =E/Ma! PUB -VEM ma toe) Ta $P-/0+ Pas 228935 Es) Pe pu i E (7548.6805) = to. 3754 Cs Bow of Es (),(2), amd (3). Maxing P=o in Em. (1), we have 2. acre) u= ng == 1S9'=- 3018 M=302 df) «6 Making co =35 dk inl2)and Pao, K=-3010 in(3): A =— OMBW?=-048 (15 = 1080 N B=gone 4 Ago Pe TE + CASA = D+T(A8) FO MB(-30.i8) = 454184 A,= 542 Nt «4 = 2 1586 im = 4056. tó. 9BI me fist consider fhe entice surteva am fas o «al. SEL: bs = MA, Boo) A, = usa id pras be 4 2 Ob dot Do ul= nã, Wama, -P= age (15)-902 -8.57 bb À, = 85711 E] cTire time Lucre pf the drste Epo tqio O gud ifie citedido fuer af cbe rod by vectes m(ão), au medi), attached at Caco [É We dave a Er te E & . a o 1900) = ZL6A IT Ago mi nha, o lttglonam)= 18.8r10 Pagu! (ads ata 7 (), = ora Re O ZM TD: Plote) -ug(n17) = Dot, z vm ea), (0.12) OZ (TH) = 21600 4 76,8 x00 dr + (OZ 0,12) a rPiigratao À 4% po Prq to 8a (4 fOMaiis = 36 rag! if): P=ufindrise) seo n Poe6ONj «4 -3 O tê (Tec Tap ) = Sa 333x10 O Pg = 13000 (n) Tem Tap * O h444 (2) LZEeTE,: Asma) No — — — pa » ada + Rito . ven data: ToE2N Ge-8N aC oz 0%) As-otBat (a) Gra data: ho =? de 2676: ty Ecag =3a= Mal Pa (2) Subetiue im (2); (b) Carry valve of A into (1); that the exfecra] Foecs are egoreniror The ediectime Pnces of both rods. (Pao) e das Hdr EA E ia 0.3á Cs =p (váo emo = 5333300 Apm L. =, Ptpyosm) =22.8xt0 hymt TM EM: Merss) Ee ema os) Mega 5x6 0 3h isfnise 53 asseddole W030)/0,3) M = OS9333X (1) We now Consider rod DE alone: A el da se aa ds DIM TM! (2% 20.20) JR Tao Xotm)= 5 & 8-2= 0, 44N NV K= 13,50 rodfa) M=0, 50333 (1350) M=679 Won) di &)Mating eocl2rodfê in (2) and P= 8604, 0536 in (3) A, c-ave(lz--egmA A one Ay= nom Tor) By É =I20Nt «q 259  16.99] We fist concider Hhe entire cogetem tomol empre 16.100 CONTINVED] We cewrite Ey.(5),a8 Follom: trab the goternal fmes aré emoivalent fo nd 4 E Pe lie fas RO Toe RISE ara 168 ra . Spa +2p= SF (8) Att & Koemaites “ We muit have b = do (28 )=(20)) Ea c == £ ri EM =fds “Mg =7% (9) Substitutira fa Aa fm (48) in h(3D / . $%o+ 24 f (Ro ro, (Ao)-fema EM TM P%o= 73 Asi O) M (IH) - DUDA) = Te + ME) Cria (a) heceleratron EG: | VE mala) | Cos Copa EBE) B=183 4 «4 mo sd E efa BOBO 4 pia Bean) (b) Fome em boo 8: M- E -I6667< 1 (ZTIBA 33334 MR ESSA Sobehibina dr Ap from (6) into (2): Han 687 = HEHE (estofos) pé + Bt=E mt £) METEBTT RE, Mc769 6) B= 1200 puma P=azmt «d [b) Consider nom The dicke alone: ME S ce portion of sotetion 0£ Prob 6.9 B (> mà en Gin above cdashed Irne for clerivation of a ” ca Ejs (0) and (2): 6ic s M=0.50333% cp fee +) TM Eloa: C(ÊM)= Tx Toe Tap E Ot (O - essradtol ) Co2Ja=2[f fila) (scadhv)]= 6.04 16 Given dada : Fo exerted by disk arrod: [2690 beso 44 M=25S Nm T%pçã=0 100) AB = - BD | 16 e ari Cnoo) £ T&a Ts im (Subido MOISES Mim Inh Ein: A atéctids - pod a A tg B A55= Os0o5354 so Ba E mam É a & = 75,00 rode o X=ts00 redf a DIM=IMn: ma(E)- 60= Ema rmi (E) fa . À (D) Sobstilule x = 15,00 redfs cwss! To 0 into Eq): Amgl-Bl=fmla mea ED Emgt-Blebmtmo (OD Tear O c Ode sea (1500) Rod CD Cosozo) º BE=CETN O Ha É» e x £ c Veg 2, N&o mf Es HEM = TM ep: mab)+ BB)= Ima (E) autom DUE! É Bco not rÉ to) É bofhtplç og dy mt + 6 = Enta, e) A datioy À and (2): Zmglome ad) 6) (CONTINUE D) 260  16.102] Mk saio trat rod cotsieo aboui A ane tear, |O. 10 Wemg de aflm ira w=0, - £ — mz A-ta = Ff nt EM = AM! EM =tma)e + Ia =Omro)t + Tor =(mésI)a Bot, by quenlel-axig Merem, T=Tamer mo | thus: EM = Iç& (REL) «4 Note: See ale Pos. 16.105, FE É mg sinpep (o PANDA (A N-W5— a E cesfo = (bojeg Meia -m (28 e pro Monog (1= do cor) 3 »Tplry E Bea =p Esso 6) hinia pero tlti (Djavt la ks Fo E mp Cinto ces A 28777m, F=028/mg aq Nempli- fre dE) ND6S MA, N=0866 mg! (€) Miniscon Rg É - SiBai=asarm, oh 0322 A =Destã) L *L6.103| Sec sartioa of Fink. 16.10Z for der iuntim nf Eq ley ed Ee Slpqmo 5 (c impendicy when F=HN a F-azsnN Suttisfo Found No from (2) and (3): & o - -E cosy É ong Chad cocf = A85mg (1 É cosj simfir :O,MBEBT- 0,35 c08 (5 CR) Squaring: s0mf Cos 5-0, 217778-0,326667 cos) 22: Grass) = +Oftzbcas Cass -coc%/3 = 0,21 7778 - O, SLEE6IWSA+O NºS cosfa hIZEi costa —1,326667€05/3 + 0, 21716 = O <Lolyng for costa? Costa = 0,4BHGO and costjs = 076 cos [9 = 0, GM and cos (3 = 0, 44383 BT and Br 64,65 We check fhol bota valses abfacsed Fu f So Tisty the original equotrm (1), Thus Clippnog is imperdira fu (8=206 and A x 6365º - Pod ill not sljo fee Very email vo lsee of 4 (lero ten 706 or fr forge valzez df (8 Greater Fhan 6365" Thus, Fot will shp if TI <p <6ãe «4 Notes We check from Prob, f6.102 that rod will not slip. [6.105 | fremeiics. Fr rolling motion, instontoneoss Center is ar Carl 8, te directed toward he geometric center O, The amebention O sf ft mos entr G| img be txpresced as - e EE EXE + r(Nre d=aruxs, Mente La: Espa o et : e Kinetics: mê EM = TOM EM Eus bo xmã 8, recalirag Ep. (1): Elo Pu + tn m(g+nE ota, 3 a £ ts pad 4 Conta) tt Butt, Leco =0 and sine XL: Coe NONE OS po mto = Td tt ma +m Thus: = Ztt=(T f t 2 (eng) UF tapa, By prrollel arie Hecrem , trt =L We weite = EM Lew + Ep ANE, (2) Fa (o) rede: fo T 4. = Ia uhen Lado xm 2=0, Hhal is, ulhen EA em a ave collinear. Reterciny to the fiat dingram, we note that fhes mil occur anty when the points &, O, and tie jo strarght lime. E) (ED) Por fãs 65º, Since M=0.25 5 larger. “tan (Us),.= 0,332. > ss s tati 26!  16.118] Kinematies V Oia 4 BH, SO A ESG & AS &s Pam, , E = 0208 Sine gear Dig fico, we have for pantE ofgear Es tos)o Bug cara Ho tt) Haga O =O2kag AA, Masi (1) Airettos - Gear BEM E Mede J &loim) = « = =(styfo isa de | RE; Q=oZBnia. (2) Bar AB and Some C Testa =2 Chat) die Om CEM = Mader . Wa (0D)- Gon) We (0D)= bn ção.! + Tas HMA 2 HT Clgtoi)- Alo a lg (na) =(3 Norman o e bl 3 02) as +s (Bia oz+r (nus (t3)g -O!Q = D2$Nag + O 028/25 0 Substtoring for Gg ant O From (2) and (CU): 139 OM 028125 O.) =0,20(E RL) + 0,020125 K, 133 =OIfezsa A =73759(781) a =72.36 E-Ttredio A D âg= 02%g= 02H) = 0 (72.36) Agstntmb, A Note: The same numerical values are obinineo for ag, and ag m Prob. JE.M?, L6.19. Kinematies = x od LqurO Dim Dim B x “6 25010 | Since gear Des fixed, we have fr point E of peor E: 4 (Cep= But é =, + Cry q) + Orgs 2 ento ad Matão (CONTINVED) I6. 119 conTiNVED Kinetics = EM adeus! 49 TM, Alamo La =(ugyocrêma, A o2Bts a (23) Torno = (O tyozo) Ee &, piel oN, —ntBfas 7 to | a L mM, et Glm Gm e MeEg [ata 2Mp= T (Mg . Weslo + W (oz) A(O ie ra Aatri, estais Gatos Cog(o2j- a(oa)= (3Xo1o go. oa Vo +5(02 4a) 02- estnomi (IDG 03 A = 0249, kg — NOZES, Soestitotime for ag oro 8 tree (Dart fo (3g-0a(0.28125 &)= O2u(gA)- O0EIr AL 13P SOMBRA, = 7375009.) A 2723 KM = 72 rode) E] DB Ag = 00%, = 07 %)s Dsi= 01(72,36) 4 = 72 mi <a Note: Tae come Pimpevical yalues Were chfermes <r Prob. 1b.118. TETO Kinemerico: Ed AztR Xá “ eles Kinebics of bar Kinetio of ore dx* o TA “tp =" A with T=g nv wi Weg DEZM = = (Md Es : re 455 ea É DE me (ã) W-4E=mã (1) F imã E) Subetilvte for PF frm (2) into (1): mg - -a( Ema) mã ma =(m+2m “Ja às, (2) m= bg m'c2kg: . 2 =)? à=Zg9" «4 O)m=o: Azg ã -3) «4 E)m=0 axo a=o q 264  Disk às u ma mg-2(2 Fem Vbom=o: À eyjmr0: 2 6. iz 121) imemati Kinematics? Disk 1 relfina, Kructis of bee +76 = ZlFe: Wo 4F= mA mo (Dizr= ml âmgao mg O sutitulina fi into Gana fo): Subotilodo for 2F From (2) into (1: mg oa (Za tm = mã mit dg,m'=2bg o bug) a o mega dg ASH s+E o 254 on vertical wall There fre: aa =ta q= A & cap 26d at=tu=sã Kinetre, of que disk dj ia fajm é | = 3)» E ma W= ais + ZM = ElMs dm FO mptcTaywat 2 Petuigr=pm end + Potes dh: ports ta Jo dl), Ega Fem Egjit Follove Hof Pro, Thedict: push the berdown. 16.173 CONTINUED] Kimematis 4º blockcando, Tnder Sioro mylinder rotis: Za toco (3) Es “Sta =tue rem) Bol, asuminp end inqedensibir: Coy-(en, te ra ami dhus: Acta Go) 3 Kinetrcs 0€ Cylinde A , Wemg DEM = (Mede: Tt= mah +IW =enno)t +pmaw T= Emta As) Sobstitutos from(bandts) into (2) my Emb m e a 5 dyz Ap t(S SÉ) 29 a É gos BpcÊs « Cb) Kinare stics, 0º block and culinco Sie elis entis à Are é) Z4=4 â A Gp = tas +try But assumir cor Inextere (Se) = (Ly =bd44 Also, esestrasrt regurtes tuas), =8, Stoa Thus! 2, = tre +tay (7) 16.127 | Gee aca'zta ne pa te f il ! ATE, = E(B ja w=gF=mã ma -HP=mn z= Com'=s: - (Om=0: à= wetice Lock icrolica or werlirol el r mã ã 24 — Kimeties of One disk F Tacfnn(£) Gp Weg Es ma +35 EM, = EMo)ers FW = up ma FamaA = fome Va) ) F=ma- ma Subshivte for Ftom (Dinto (Ds ma -bMArymg = MA (uremja a emvum)a (a)m= 5%, m'=2hy; do Ea Kineics of Binck 6 co =Zf= Tê) Mota Ng = Ma e) - B 6 ” HF! NTZE= Ly Wemg Mo) mta mg =T = mk td Emuihibrivn of Member DRE Since ils mess 14 meghipllo, cha cltectise fores de ako valigios and DRE ih eguilibrium LZf,=0! M-A=0 12 Hg Amro (to) + ZM= Hom Te-A t (matr Ex “9 =(mea)t + fmia T-n= Eme (1) Recalling (8); T 4 16.123) Kineficsot Bluk 8 (immediadel, after rea) &ZF<2Ey! Caj=o +26 7 Cg mg -T = MAs MA) gr mj-T=ma, (CONTINVED) Adding ca, o, and Cu): o mg T+AHTA = mia tan dd + gemtdl mi =a mar as Subs fitutooy fo A into Edna 162) 3, =f29) (0), =*(5€)=53 2 a = T4 oo (4,554 265"  “lo. [2h Ptinematis DE sudo , Socbia —> =/88,— 2, te dg 34g— e = Ut By = IHS+ 0 = 18 dg Ascuming cord mmextentible 2: Ec= pera Fhos! 18d, =/8%; or Ya=db=W) Thus: AX, Beta K— é) Disk-and-d A - BY LIO,667 andam Masi ge a- ta =(1)K Ma A ZM 0) Demo TCA) - PO) eloa, Dea +Tp Ttus)-Pi= Semi fo, test hsT-P = 3667 É (o 1) 2M5=T(Moeg : Q(O7E)-TENS) fo, pita a Q00IS)-Mis)= OISGAST = g a (3) [ts Caraça): 0.756-P= ng1b7 6 ( detnrsaxoos+ Sã. aISO = 0= rag” Frem (n: à, = ta R=(] FORCA 4LO 322) x 3,008 Fis? z ata a =(vIst(o as 26)(322)= 2256 FS As SONS Age 26 FS am «x savquisg [6.125] See solution 6£ Prob. 16.124 vp tu dasned line for derivation cf Ega CI) cuia CU): 2a ha Cectar €) 075 q+ P = MB E (62) Sobstitotima P= 6 band Q=0 im Ep (9): -blk = ne E K=-O245T =- 40 radfs The minus siga indicates that K hos a sense opposite do tuat assumed in fhe sketches im the solution 6f Prob.t6. 124. Thos: K = MOtiradfss 3 Prom EC: a ce as (IAN Mor radht)= - 400 fg É Ag ctg = (DIS 4.01 rodhs)=— 3,008 Rh? The minvs ciganas chtamel indicado trot & A ant Ag have Senses opposite fu ticre cesumed Therefore! 25 ON FI ams 2,= 80H + «a lo, 126 Kinemakes Eudes E Tranal ita + Rats ami « Rolling motor A tas Ga t(N-) ptb * =a(a pgto, OD Kinetics: Pr bp Toma” Va 7 IM = Ma: cog = (mad) + To + (eme o)a emefaria E =mtar mia mesgmin- png Zmgr=tmia es) «a 6) Fam (o)! (2), -a(gE-ri)=-64 (Sh =G3 (oo = M$) =-69 (om) <E86 Sosa ye a Note: We copld mit use fhe eguntris TALE A Tor the honpoóieR combination, since C, A, and é are not atigned (cf. Prob. 16.105), 2.66  Gs" 54 fo)4R PLA EPA ESA (EN GENOA = (EX NS) os (ENO é Inpa jo ez) em o (hIZIA 22645 + e 3778) srs Noge io) efrses To) =plelidte ze Jesfo sriporiaacs)- AT ft Las MAS e AQ A SS Mm 36 Es a, (a Ze 45H PA FARIA TT a cimo | A+ Copy UNIDA [+ OTTO Da 35 Úe—= D6InIe we = 10031 aj Zn (0,75 4.6 Aoosim AITuir ED 0, ELE am W(FDJAR 04 E, (Deja mid, (ED) +6rLOnZIy 1.00) = H27K W=+ 6263, Me 66 cod O EIIIM(E2E3) = 3898 mit =100M (6.764) - 6.280 vls* SE = Major: ASure 6) (c=0) | 16.135 CONTINVED] Kinetics EA Law of sineso | Letypionf 125 Rg em” = 2 I É me Law of Sinear EB. AB FO SIMÓN S)=| 43 Sino Sine? Er ) ED-EB-DB=14333-07%05SS'= 1.003! M DG =DBsincio NEIVIEM + VEM DM Meg: POEBI- WI ED= ota ma (DG) AMÃ, (ED) PL UI) 6/08 1.0031)= 125 (27907) ( ) +6CuIvespo 6 Ines 621 50081) 1933 P- 500253. 1395+HE. SIT AE BIGA 14333 P= 85,351 P=sasnt «4 16.136) Kinematics E rentfg — — (wão) 25, Fri — EPP Es LOGE TIS AY, 16245 = 122878 B=/322N 0 «df 16. 135 | Kinemotia au um t (13=0) B=2-a, * Sage Hb 40]5 (27907) 638 = OQ SIS = ATIES mf Et ARE = Bt + SOR 35" Law of citei dd do Sing5* Sirtr BERTO redjot) 44 E OTSMOsnaS] = 2,7495 njeh Es = + Lea a 28 . Ag Nao! e ia + (Zeno pas Law of sines: Coda - 2 indo” Sints* K= 76546 radfe? 5 ES q = —+ D2(Zesre Les 2a "8 +2m= |? Sel ) +ã --p+ BEtresae)as6S'= -B6302, Ac ReI0Pe- - =+ ESA y e E -722S etã, =* las(Lesuo ) sin 6S = + 22065, 8 z226s+ % a I 8 or Firm tuiaghe ABES pd ME - AB esin ) SnAS” FE” dm a LES 88129. 2156778] EDefRs in)sinero MIQin = a deu de - esiê e 6S'= 13,528 im. DE = AE-AD= f8.812- (ns) osós io feira (0) EM UMa: POE) IGD): Tee ma GU) tma (en) — A4U68, À (e 630 IS, Plustr7)- HO Gemi)= LE 6540) + & da) LSD 3776 = o (hO THA GO +20289 Je 2.400 * P=3.94%0 b Peaguibe «ad Cb) BT Z(Elg: Bros 20 P=-mã, Ecosqo'= 3, 940 =sh(8.6302) - 2,868 8= 3,052 h Besosuaso A 269  AO = (Ene! 25'paOt= 4" nl! seia 4 clavotemes da Go sf Smaço” Sms? “Sin 76º 15677 = 2OO95A 7! E-a= pes +25 )= oro30 4 ++ n0047A GA! E = 678380 + LODYIK cos TO = 14275 4 = LB047A Sin ro'= OGU Kinetics mag Es Eme ptEDE tique A A Ta 6 ns, 5 o 4 Po Fm triamgie ABE: E RE BB ArZEn) SNS SIMAS? Sind” Ca 25 j PE =h5677 ft 6D=(BSft)sines' = a Guel 4e DE = RE-ADENSEIT IL (ME fases'= (I2IS HT 64) EM = EM: WiGD) = ore ma (DEJrma (60) teto qual) = digéo Xe a je(itzasaà obesa ourfaer) 16.137] Kimembes Assume &> (030) | 16.138 CONTINUED) Kinematies of rod (acceleintrwma) Ze =8+ E 2, + 4ys = 2, 6d +) do + (ava th = 2! ratos | + o25(ioDEfs + 0,25% mi = as! ts as companen 2 E ro Pta 5.704- 0,20 = uau = 88, S7redfe) Eza cara =i3muBy+o, estes 6 “Bela =13pogf+2Luz HA + 16,065 NS za .3 3 ã= E (2tva)- E(16des) =0 + Ha, = imog- E “a v2)- É a(s. 065) = 10, 3lmjs* Kinetics p. Eegmestenfosso B 8 = O, 0z6u4z Ia =0026042 (178,52) =3,347 Nem mão (Noite ssa DD» +45 TM = TM)! Dlo200m) + W(o.075m)= maçoors)-Ta OXDASLISOOTS)= SSh6 (0.015)-3.347 BID =HAI7O-3,3W7- 3.679 = 34,344 0,07Sm 3774 = so Áuto + 50880 +35653) D= MIM D=HITLIN— «4 = Do7& = mms MATE, AsasMop, AciZDbrd) AÍ TG 139] Kinematio For disk A (4, =6) (ara gTE- aa as mé s275 a) EA 6 = Sob rpm = 52.36 redk cos 20541275, “o g)= 6 . º Bs1795h fito «é 5 6) VU = toy =(D0Sm 5236 rodh) - - % = 2618 m/s , 16.138 Ctenaties à acao ql sa ENIO ag = tea (Doso(SU36rcdfs) m = ra =13h08 mf” % = tap. osmXsz36redy)) Fr md For rod (ateterations) Ag = bcp (0050525600) 2.10 | e Es =18708m, ” ; Cs, a Sinte = Bc-fo.as)- (0,5)! a - Lo FE = Ep = 0,20m a . a 18708 > + sas00Da = & À - m wo É = dels mf 2) Se, a po.a2su (0.25 Wsin g6.42= 13709 “DO Polis, E X =598,3 codia à C3= 13,09 rodh 5 we have go=0 Ã=d,: Esto Ê sm» 274 CEontTinvED) deh nha), sa, aos CRS(SIHS) Sine MP=+ 68,54 .25 Htã,s OI2s (SFB I)coste ma e= + 29,92 for 66.42! (CONTINVED) 270  “[ 16.139 CONTINVED] we recall: from previna page! We rerell thot pa EG, Thosih =(0,25m)Sinb=0229m 3 XMp= Thee: Db +W/D05)= mA (8)- ma (005)-Tor D(o Reiestáso 0) =(3427) 0229! .(puas Yao) 15581 16. HO CONTINVED | We recall feove. previgos columis Rato rh, 2,= 6854 mto, 3-2 mph & = emored/5;R lona não 33 Ah Kinetico p Lo Isiml-stsmlacsa) R Sus — é E á mr uoua Kinetics He my= apos f Tú = 026042 (548,3)= 15,58) Nem | A h = (6d ma-s(sass)= 3427 n Ein. | — | mE ES (AGA) = AGE N | CAS as . 4 e tiinde din P Doom D 9 MEM: DG asda q wig)= Trena (Gg mag) sD- stb= aan (asd CRS) UNE &) Fa (82109, D= 7100 p=710/b +» «d 07291 D= 33256-280 15,584 -2,453= -Ánia Dss00N> «ft TETE na Ya l2radfe j 5700 radfosã 6140) Kinematics Crank AB? r me Lhe le negad, Le, =BOvoféo) ay =totra snfeok)= 360 bjo (as) =to= 3 dl orei = 20.0 Red BD Veleeitics: UA (12) =3 redfo fe =36 E) 20 na Ds E 5 4%p= 70424 = 440 Ago BRO radfs Since (Boya 8 direct Po: Kao = 880 df'5 GA tara =S+7 le = +361+47 Eloa (12 (8) de Z gre AG =-to-s(ts sã (24.667) = — 10,00, frineniãe +tãy = 36+(15) 194 (36667) = -74,32 2,=7433 jo+ (eps 20, Oui [ Same oro Hã. = 3648615) +5 (0335) ca tnd7 HA Yy Traclwii E + ntohsnadasii = Pleve postos ô º mero Ferra | Thoss E =10,00F/58», E =W7E7H/stA 0 + Eme Ex 1& o Kin + a, t=- 704 3 54 RE Ha), d ci) w=3 2 mê vm Caca)y= (Doi =(18 Ne] = 00:48 -T É . A onda (Das = E Ago “6 ME É a esgoto! AD D + gia dec sin + - 20 -£(30 Jê (8 Aao)= o 1-5 ê $ BJ O.!736t O LM, =E(4, as E Probo PAM except mat u 3 Dir (Se + Rg (1) most be erplared by Agh= 70 + +36 18, DE (4 a” (1) where we have agois (Anja) = sooifa ot (home = E das Lz eompmerts , go-E(30 j+3(edgo )=0 % %ep=-20+424 = h00 ay 8.00 radfs* Sinelaro) is directed Hz Kan =8.00 cad/s » [Qua -Q “6 Tê Ga, Satã E ya = 20 ++ 364 +i(30) Rar i(do PK eco fe à, = 20- (15) + E(3333) = Indo tifo me DAM) Torna (poa (E) asp-2(1)= STR! (poor ain )+ aeents) OsD-1= 55;(56.556) D=5,513/ Drssibh+ «4 (CONTINDED À 27]  We resolve à KG. 148 Kinenatica Ep into 4 ou, 6. er] Cylinder = 4 emponet a, Ega Perado! to the “O Mp =3%g incline: Oo. Done g&-a 4a a ESSE 1=005Mpr ce Sa" Com NA Mod, =(Oto where A, = 6, Since “a (oa) esfinder EB rofis om medge A. e - ny) Kinietico, Lylinder and Meiçe rm azme TM! 0 = Torna e (My Ap tnsadje DT EO mp2) ObISO + H(nIAXOD) - Gap ese (01) O Mata me =3%4 w <(2P cos 2) da (2) I=3% 4º Ia) Subetitote for O fm (Dinda OX Pong = 0.0/54geni Gps BI sInZO AO Eos 20)a, jp =(a Da SS UB75 met & Efe ns S2c EE OMl, to A-Ma cos20 o=(2+2, (3 0.tx) cos 20, Ca =(006cos20)K (1) Criados 36) ND EMe= TM , (Mg Sin20') o = E) = a = Toc imp Made F N Mp Baja E "o fans) + - ABsinioto. 1) =o.orsw +3(0, 8X 0)- a(0 Ap tos2o? Substitote fora, from (1): o3(asi)sinio= *foois +au- =0.0Bcodzs x 10066 = 0, 02HV6M, A= 37.583, AX =346 000% Feni)a (Bos casto fases) LISO «We recall: 6) From (2): X =(Becosa0 Y 51815) oc =a25ries ad 6. 150] Kinematico, We resolve the acceleration of O Sinto the acel of tre cat art the axel 0EG relative to À: = SL * Sep U= 30 1b ULTIMO dé L=3H : = Tegel Pam O Agar (E =A5« = 16.149] Kinrcntics, Weercolve Lg into &, and fhe horrrontal component 4, a - “sm “e 7 * sp where ag = LU, sinte Cqlinder B ralle sa hvedge A. 4=0lm mp = 244 LEI ay (Wet Na )sinzo = (matina mMatap2ô (2438 snT=(2Hda-3(0. Dx 005 20º a, =(A8ikintie(obbcoszo)a (1) (Conti NVED) A ZE (5 dg (e Cosso)simas” => [Morioa, -30 (13)cos=<5) + Wo) ein 25" im HO. Pe afaste? Ses T02, = T0(32,.2)5 A, =(32:2)5 = a (Astor sr dE css ese) e) Kod 18 abs fan, 00 e + gsiotpa a cos dm si=0 +675 4 Lirmstsda = 0 K (0 5cos 25), E) Substitote for 0€ From (Pinto (1): A =(322)sinas'+ ( cosTrko suicide — 322 Sims + Bra, = 1º dgfcoio = 18,490 4% E =/Brgtprços ad O) From (2) A-(05 co825) 18.880) = 8.379 004 x=836rajes «é c2) 27%  Fo Kinematico, We rricie the aeceleradio of E into fhe accel of the carPard the atref. of € relative to A ã= =4 +& e &e Ena Z-a+a Cet Ea Lens rna =h54 Dr (Be Os Mp Aga 0825, toma) A g (hse)oras? — ADH30 A O O) BID -D meg ci sou ti 4 MP 72 bra Cop) (pão cosas") 6 ê 2 (ros iaisafis- MP Qt io 4Ssiniit—30 (0.1: +BPrja— Gg mo: LA Bilazajer cor= Sn fejd- ás ja As fd Cie sHs cos?) & tie too d fre (Es into A (Acorda EM rare ja 0.350. 1º qes titã «4 (Ei CoLotitede istolT;: 5. 38E4- (38 cosas") oe = 24502 radios E=725 codis d Kinettes VZM,=2M, 0= Te Hina) = (map corpão) Bit, Fam CD: “Espa =qlu and E gt Thus: anita +m Gio) - tm asesi)t =0 &, cap = & LX (2) A TT=2/Ge: Wsinp= MA, meça jesps mg sn = mê, = ms La) f o us geing+ q td cos (67) Suvetihdo dor 94 fra (Er fo fe): j ! PA mel g sin cosa +a la cos 5 gem p p= fia (ur 3etp) . 64 Sinpeos vo dt ia (0) DA Lar A into (Z)ard sofre fra, =. sed sin pes &G Sin Sê pe 2 feio 6) We mole foot fhe senses of X ard 2a dr cistos. as udicricA, Sinto Go Ses pDo. 412%, = TCA A Won = — Maçy Sin f A= ng cos A- mtg la) sin po Subilitule É obtained: 2 B eos 20, E-3uép ope (1 É pega Leme O H6.ID2 | eivemealics, Ve resolve fhe acecteradica CS inio die omeleratios of E Ager 9 ânio ffie aereleralini o Given data; mz kg, L=h5m, PERO, go bimpa (0) Substituto into E. (6): atas e 32 E a dd Lhe creo ot 6 rejotiertr As | rm ARE SNiCÃO . ga A = 03174 Pg A — , + 2od,a 8,4 dg ao E Bvrasfa) 2 2042 (b) Substitute data into mito: = ELUB) sin RO! . =4.9345 + ver Ag ia 0) | e as = camas 9 = Q9imfiqão ad (continues) E) Substitue data into Eg. (6): cosa — SEBI . q7795 AS) cias Tasos A=ZTIN E To «4 275  16.155] Kinematico, Assume “So), Ko) JÉ16.15t |Kinematics, Assume FAR) Also; é5, =D Z Also; co, eae “o sE * Cas * Ca E x - go 1£ e. = LL, + 2,67 7 Ko pr Bya* 200ns Se 2,:L Ga Rblzgr te = Los Ze rã Be, EE At LAgE LA EL Ago Age 06 13% Lag t 7! e c e! oi Kimekics, Bor BC TM ZM: Ainetrco. Bac BC + EM EM oku: 8 to PL= Eu, HM Ng Ê erre e sima , efe it = dmg Ge tmíLoga + Fit fa w epi +m(ta, cao Pam tgmia, <) Cc Ho tbHctj ACP] ETE=2/Ea PB Ma Cn tà ADO aaSa 8) PB = mta tatd) (O) SZh= Fly gemêen(14, +ilós) | Lo FEMEA: Recaling (0): Beni DA) -e| sea É Bt=Iu, ta LO Bs bml das (2) — Ta, sumiu amipio A X43) vo DEM, = SM: ão 6 PL-B,L At (2) and): “AB astra Vão Subsdifotins fem (2): Emb = Um mia NL Pl-amb = amina E emba [L4144).7 z, PL =m do (6 BH )= Zn . =P Thu: &s= So e) Sobatitotim into (1): e -.t8 P =) SA €) Given Data: LeiSin = lastt, We wlb, Poa ch Satie into 6» a É pia 86 hr css) A Substitute date into (1h): 18 35 Maez o 7 tapas” SM radhr x (E 8O cadhr «4 Sopleache) fesee (rj: Subetiiute for dec in (1): Palma +imilsme) = -Z ato “ap E 5 A &) Sobetilvte into (0): =30 P ; e=-s(- GE mi o) Given Data: L=iSin =h2stt, W=gls, P=3Ib Subetitute int (6): x, e * = IL 32radh* Kas = 1,52 radft) 4 Subshite det int (7): - 30 E = 7. dfs* Ages 2 (u/s2.2)(h2s) 76-60 radis E ME bredfor «dl 276  16. 160] c1) Plaie abtached to pins É Kinematies Assume 2 (»=0) ! EA 8 E-exAb Fe Po | tzcemp à =tá sind =(esmoa PAO IH yemp: à ct ucoso = (enseja Thos: Arbcae; E =pery 0) Kinetes E came Tramal. with C + Retatioo aber O = foliry mutton ; AE ie 8 ado: T E=(arto')ms eu? a A & vão MA, ê, . CEM ZA WE)= Ii lnã nm, (Es Fmge spo tmlacufs)+ m(+ co ES imgecZamio a-mnã o & =2E) 4 Y 2 “= 8 redfo NÉ tai =p + EM = TM es - Wa =Toufna,)R +Emay)á gs = mba+ mar t)re mena >mbasmRatme Rm qu = (Err Are Ri -qeifoD= os rosto) (bj Festa a=bcu=q (129) agr 4% =I(h29) (2) Plate sus pe Eigem adica q, bica =A, Ê REZB X=-23.66 radfst XAE7MAdAS É Ls Note. We could not apply the equation TM =TW A this problem, since points EC and 6 are notalimed (ct PICO) [6.162] Kinematis, ao 8ftie (zo) & 4 | Es E-0=8 44,4 =6-+ it5(L120S)B 65" Em, TM . wW(se)= Tarimã xo) A = 8» + h2s(2 Ases éste = EBTI É 2Mp = lui Mie) = ane A « tasfiizasemést = 241254784 Eraliz O pegos pacas anca ie) embics fas sich E A ! 1 Simeso T-l Emgeefimes asma a=-H E) 4) E mist CN Dis dedcrciedisia ZÉ; das STS Binho PA +05 Syatt a gêl né &=m] Doo EfsySBt | NC ss (8) Plute svspended Lrom Springs. Iommectiately afier 1 Pos $ stpis Bjo celeaando fhr Frastom in spuiog Aus shi à Loro 4 mg since its elongafron is unchançe ! j mm, Ng feponfete BA E DA—E ma, Aj e E A a G =. =EA- Dê | Mim leo, | O TSbO Assis =2 20054] - - : - =Ia +mã, uzaã AJA) 2 Mes MAs Coma Kb o)= Tx CT M=2(M de P(EM) w(1u324)=TA arm de Dna 2 mpeg mea ka) xi) «4 Para a(u2m) LIES je emraaa, Wasxe DTZE- Heem: 0=mã a = SD 2841 Er - ua da º (3548) = 33087 + Ga Poisson Poiso tb» «d DO mo * E-asgy ABITTEg LI5OM-BINVEc E (607, Sci da 279  16.163 |6x) Force in rim (no radial forte) q Convidder halk of vim ie Gia A (18004 )= 600 E=-2t.. 12 w=06m, = 0.2820m ” Y=0 tis 360rpm & = ota 7 br zm)fo 3829) =-Su2,9 mr NES = )y: 27= RA 4 2T=(800 AX 5427 m/s?) TERITAN (6) Prec ingneh Spoke (no targe-tial fare) Convider Jo ot cm: GS (imokg)-225%y “= E=z2s ' Sm = A sind Gesinas = & ta &= = Ee: e = Tm ctg agg = 05847m ds mta =(t2m)'(0,5847) = 881.0 mjs* NTG=XlGhy: Rama = (200g (8310 Ph) Eltozkn «ad L6.161H) Fast comidas port colove, with mo verter 1.25 Echtsm = +=3,8m emo — tese w=p if AS R w ma =m(125x) EM = EM! wiuz5)= ma (t2s) rio . mg (25) = m (1254) 425) +Em Br 4254 = 2,58330€ K=0, 4839 4 6.165 | Mans 7 e ah By mê =ma FA A 8 * AT F-ma sinsi (1) 444,2 Wg- N=ma c0s36º N= mg -macos 3" (2 Shiding impondo mher PoE = MN Sobctrivti E MN. 3 rem (1) ama (a): º ma sin 30" = Me (Mg ana cos 30") . hg — DES; ao Az Sind0"y HM tos 30! 21651 Eng «4 6) Tippine about À wi im pers them reac tras Fact Hare appied as sro, Accel: sF midpuimt 63 A, E hesa= Uts(Du03sg = 06054 Atret of pomt above pe CD: GUS A=-2s(aussrg) = 1204 E) Accel. sf ntortrer etemeliva in midéilo 6 of plank Sine fáe accel nt & (with when); frog cw g Ana sims accel, of weriter afone would be q, contact beineea mrcirer oxd plant os mainiziined, Cosrstercnç Pe quiero po lent Sieber, me Ho ve 125 ; “es 5a) Sá U=o RÉ dog) E soa BBM,= 2(M fps (FOISK 925) =(For TA, (625) + & Caos. 4, = 1254 758. | Jx=d Gogo Dl E Tr Bh, R5g= 3a h23o) + Jagasoa = 74.6875 4 Hz ETAEG Aomer E Mo = 25X =42(OE EG) = 0 Byrrag =064270 (4,8! mo) Lan BL, Db) decelof work <farctino above pre CD Sine dhe aecel 6 pont above Prje CD ums Powmd ho be AMI0g, thabis, lager fram q, Utarkor vil Jose contact wife «5240 F(t-n(g0=0 É= Bot F=E=0.25N Thus gémea [6.166 Let P= Tirar With agito engines apecati | ma ADE =2(e v | = é LP-W = ma | 2r- 25,004 = EMO (us) Eu P=2469 db With only one engine operatmg: T nã G)MTE = TG “8a | - ! Tx P-wy= ma IM o á My449- 25,000 = Ein 7 te E=6M0MM <d iss Cb) +9EA= TCM: P(isto)= Tx 24,959 bJisH)= + 25000b “x (24,169 blish)= 7 2S000b (496) M=0302 cad) Plonk amá Lsmtor = 94 = 281004 280  Do 5 B-Smfs TG. 167 fo)white Jor dis ave shipping, a fiition fere FA 16.168 CoNTINVED te eeplicd to At A at PJ do det 8, Dict H EA Ze rn, &=0 5 = pnre, ZE kd Fe: su A -ixl ê Snctiez & Juzo A Ê = 00190 VEM = ZM: get E —— = TB 6 W(gz) - Preto N=Posh - =/M6, a md, 28 Thot: F= My N= 025(3 lb)= 0,75 db io em(guna omite TT: taróada cmo (015 Geo E f)= DOIDA Pas 28) = Em a = Marat = 9,32 “reiti «q (at)= 26 27% Disk $“ P=g a(s 2062) E ires te, Mariy mo 1889) Da (2. sra += 020, 2=9.8/m/% Self é) P- 48 [am ARS) 92] =- 285.188 n = 0,0689013 FetsiNe «4 tac Bin. Dt = Elba: Fra (MTE! Bm =-mã, º “a cmg = -oestoi me mg mi ak = algo) =h5 [o Bt-(re,s)(0); Ka = TS ori, = 725 "042 ) E] B= 226 n E=222N4 «q Eb) Kinenalics : bi =0, (to, eómiças Gu 2uê rodk à 16.169] Kinematics. Dicies uilloctm cho o udom = My, tratis, uhem | Concider fhc frame of reference altiched fo point A “4 tl, 6 ate plate and in tramilatios with the pla. Since A ob the pipe rolis on the plate, me have (oct) ty = Kuem Xe t] tz E (19.320) € = [quzue-2ENSE] O Las Cop = *+k JBRBOÉ — 753.987 É=4 3385 1 úrdy therefore, with recprri fo a Ab that lime, Hhe Argilas selontico of fr date are | É Meto: fente, = 14320(4330) = s27% rodá = 800 rpm o = 4 epcêvorpnd «ad 4 ã casta á €) 4 =a-+ o PAR 7245 (0516) -62,RaU ado 600 rpm Kimetics. Pipe Es toora 4) tem DEM = UM yo 16. [16.168] fruto cmatico Veleiros T = mã OsTa-fnz jo (o heil testerat A = r = Sofving Mar x: pet CSM Nf x = 20 & = = se sredé N Substitute in (2); br iseftina Tum É, fetchunisons, Sinto 2,70, Ba -Ea- Hã =0 4% * p= 0*Ealo & = Fe [€)) dgd = EO | HAB) am Ee pr $ e: £ = 7. o he Lolhue lar X=0 foleceipe: 4 =1 Z-0*, E-74 z Aja» «1 ú - ' Paz AA são Thos A =24ga Aude * ACepipsfointe) Cond Hot =2(X py e = “ode (EoNTINVED) mel Mole =2(Z prefeito) 22d Apps 2a 28!  grera Wma Ts fm? EEE GoDy Dista we e br 7 e c Lresctrors cr Rec ELE ros: As ad sia —>—— = — És Ba! mg sino — Tam Go tda o 4 Porem HE.CR ZF-o | Peneda Treta T zPme-mro r x e J* 22. <] | = TE (alpes “Tema a lego Dm aps gue << = Grid EF rates tac) Aero (agr &y A-Via) rasa SN ao Wai na É ae a fist A a sr dd A ER Tede: feceçems ME ct coB= tds Pa K= Otw-d sus ka Edo MT 1 57 FERE T Ce eRconéncaies Boca PROBLEN 16.02 “| o PRDELEN 16.02 + ao "x BASIC VERSION + | FORTRAN VERSION + Fr asRRaa o Casse aresnia e se. c se" Definition of Symbols c Definition of Symbols 7º - Ce, STO EO ce oe * TH“ anglê theta (degress) po EEE do fat o" T * tengion in spring 106 ALPHA = anular accaleration of disk REAL K, My KAPPA 146 AtsAY = Components of accaleration of center of disk e 129 + AG = aagnitude 07 acceloraticn of center df disk WRITE Ce it) 138 7 KAPPA = angle betecan horizontal and accelecation AS 24 FORMAT (Tó, "THETA” TIE, "CABI/G" TOBs ' KAPPA STAT, 'LACI/O 149» (+ KAPPA às up to the right? +TOBI BETA?) 159 * ACKALY = components of acceleration of point C WRITE (ériZ) 140 + AL » magnitude of acceleration of point 12 FORMAT (T9, , degrees" Tiá, dinensioniess*,T31,' degrees”, 17 * BETA = amgle between horizontal and accoleratron AL +T63,"dimemsioniene” «Tál "degrees"? 188 * (é BEFA Is Up bo the right) SRITE Ce (/,ANDO 188 * c 198 * NOTES +x axis is dom to the Loft along soring CO K = a.ta159/188 = + *y axis is domn to right perpendicular to spring CD g.1. ams” n=1. des K = 9. GIN9/150 Rei. 280 PRINT *THETA 166/6 Kapras, c Bus PRINT” [AC3/0 BETA DO 191 « 30,50,5 258 PRINT dagrams dibensionless degrees”, m=1 eua PRINT "inensionicas degraes":PRINT e Se Bal M=l Ri T Jénsion in spring Bea T = Mer tp ASI IkeTA) e FORTH= 3 TOGO STEPS c Acceleration of ques center of disk 386 *Tension 4n spring AX = GMEBASINCRNTHS — TI/H ne T = MB/ERSINCKeTI) ay = GscOStkETHy seo *Arceleration of mass cantor of disk SORTNMcA2 + Avasz) E AX = IMSBASINCKATHO — Tvs av E GACOStkaTã) ATANCAX AN) 7% E aa = suRtatra caras Kappa = TH - PMI - 96 ssa PH = CATN(AIZAYI 17X, e Areeleration of point € zo KAPPA = TH = EMI - 98 ALPHA = B/UREGINCATHS) ao "Beceleratian Or point C ROX = Mx — ReALPHA ss9 ALPHA = G/CRESINCKATRO) BOY = AY 378 ACX = Ak - ReaLPMA: ACy = ay AC = SORTCACIAE + ACyasZ) amo AL = SaRCAtKCE + acyrB) BAMBR = CATANCACX/ACY) 17% “o SEMA = CATNIACKZACH))2k BETA = TH - BAMHA - Si, «ao BETA « TH —"BANMA — 96 É são PRINT UBINS * q% To VALTE 18,08) TH,AG;XAPPALACADETA ass PRINT USING * tm mmm MO MIABSKARDAS BM FORMAT (4X,F3,0,9EF7.3,8K,F6.2,9,F9,3,9%,F6.2) se PRINT HEING * amet emas "IACABETA 18 LONTINUE “50 NEXT END THETA Las/6 Kappa LAC1/8 BETA Tera cns1/6 KAPPA tAC3/0 BETA degrees dimensíoniess — cegress dinamionices degrees degrees auensionless degrees dimensionleus degree a 1.800 -30.80 2. 19.89 E 1.000 E 16.89 3 are -85.08 2.296 13.16 35. “se arego 13.14 “a 278 4a .0p PR 15.48 aa. “ma 1.856 15.65 as 2.207 1.585 1.44 as. “767 1.581 19.64 sa e.esa Btus? so. «ass 1.354 21.87 = aeto s. mo 1.143 asse “a eis +». 577 1.808 36.88 es se és. "se “neo 8.56 7 Sae 7. “se “300 “Bam » 18 = “sim “se suai e ses ep. “588 “Seb apli as ses es. “see “17 25.29 s8 506 96. E E) so.sa 284% 0000000000000000000000000000000000000000000000004  mi Cntode NE Eee MLS Mime MAZUS VEL oermEs dust Center Leco 1 ATE. bl caes ate q A resãs Acerrimenores (sine gs comerar, = Te" Lato Ay 1 Nnga VÊ Apa), Lo Ap UNS ué ÃO Zu dos dt! tona SE NY A= au? tno T Lo | KINEMBTICS ACÇECERNTOAS [CoNTINVED) & - Ia! Goto Do Cesta); Ye Hu) 6 ! & corsa sui Flo TA RENT PRESA Ata = Éiço «q usa A Tela: re bens - pres To imã E Lsme dy MEL se Re drg- Zeoso "Lens i Re logo Imã tuo ss Am E CRRRIRTIRATADOS FRTTISERENRES IRS RISAEERANISERIENSEICISEREERESCUNES | CARERARREIRIERIEANEEANCEEASRraRecioNacasiarsase Soeiro rerERaRirA sa aNçE Ro se» PROBLEM 15.03 jo PROBLEM 16.03 a 3 "e BASIC VERSION "je FORTRAN VERSION + O ns ias cera ce cera ora e tasas arame tante err read | E enteranos enem so c sor Definition of Sysbola E Defimtion of Symbols E o L = jength of rod (meters), E length of rod (asters) ser vE = constant upuard velocity of end Bo (m/s) c constant uprara velocity of end BD (m/s 168 * 7H = angle theta betmemn rod and horizental (degrees) E angle between rod and horizontal (degrees) us OMEBA “ angular velocity of rod tradíz) c angular velocity of rod Cradiat 126 * ALPHA = angular accelaration of rod trad/sº2) c angular acceleration of rod trad/m2) 130 * ABAR = acceleratior of mass center of thy rod (m/s*8) E acceleration of nass center of the rod (m/nasã) aa + mr ame st rod (kg) e dass of rod (kg) 156 * R 2 resction at end À tnentons) ç Rasction at and À (reto) 18a * c 1 mata REAL Io Lo de 16 L=1.8 tutor) La tê 100 Va 25 caía) vB = 85 2» nad Meg nao as Bu 9.060 Ma/s"2) 6-1 =s 1> mano 1» (uLmeyrio. =se K3 o sATAN(O.5/108. BeB MK = «ATNCI)AIGO c ese PRINT treta Reaction ar at MRITE cer t/sBRANISO S dheta Rraction at A aéo PRINT "dmgrass neutons” MRITE Cro? AZBXANH!) Pdegraos mutors ao PRINTS URITE (as (4ANI) eos FOR tH=6 TD 75 STEPS ao MESA = VD/(LEDOSIKATHD) DD 16 1= 2,755 ano ALPHA MEGAN ES TANLKATH) To 3 ia ABAR = 1.54L SUMEGA E) /COSCKETHO OMEGA = VB/(LACDSAKATH) am R= SMMAG — (TXALPHA) /ULAÇOSCKETHO) — «SMABARMTANLKETHO ALPHA = DREGArRTANCKATH! aa IF R$S GOTO SO ABAR = (9.56L60MEGACS2) /LOS(KETI ESA PRENT USING “44 near "STHSR RE B.S4MG - CIMALPHA)/(LACOSCKATHO) —.D.MWABARATANKKTH) as NEXT TP (RoLT.0.8) GOTO 256 389 PRINT UBINO* quest, WRITE (2,20) THsR asa PRINT + End À loaves surface, reaction at À 19 zero. ee FORMAT (4XyF3.8, LOXFA.3> o END ento 15 356 HRITE (ea6) TH 3% FORMAT (TS+FB.0,713,End A leaves surface, reaction at à 15 zer0.º) enata Reaction at à 49 CONTIME degree netons E theta — Resctionat A 9 29.138 aegreas nestas 3 er.asa 18 a. 29.130 15 5. 29.393 a 18º êniasa a as. Ee as eo. er.247 3 as. E a o. âolseo 5 as au eso s FEM aa ese = es eniest se 5a. 27.566 es =: êw.a77 % 2.017 ss àsiosa 75 End À jeaves surface, reaction at A ts zero. 85. 17.592 -. “ao 75. End À lêaves surface, reaction at A ie zero. 285  Lomem 16,0% Kingmagres Corn co sora cf Reg ISER For DeTiseporsaTor uz 2 = MecEteR Aa DF E Ap E Meteo roer or Pires D = ANGRA MeciletAToo DE oo EL Veto crmes Do tw, nr =, Sue) YE «a LES w- Eb e ae DE Cosa So E casa zo A Acc eteearors Y a 4 - SEC, Cod egos d= Lulsinp -ausino “q Ro É a : Acosg D Ea Fen Posrreve Ap =fa Mer +Lulcosa tag cose aq EnRecTrms LE Arm Fo Tm puesr (eso Gg 06 q ado "a, sme <] WE NOTE THRT E 45 87 Parra Pao DE traienero s2eus EO -£ < destas | ford 15) = Lfaç) o (âsdh,* 2 (aaja <] Ememes TOTO TT TT em Mp o di p cê. (=5 [= eme Ama dq CONNECTINE ROD l2D Peitrr os gos Fº Gema tai mê Leny 2 D Cgi tcp —) Ph tl fog DM = Zhao! Dilsng By beoga o Tot confi), É eosp orla) Ein =[m bois - La ro Lp on) Lens /asg Dip Bh tam — Tex +Smio, 4 lêç) tam 2 <] Ácos f MEkcztdp: Byrd mÃ) Ega) Do <q LEs-Dde GrrOyo lãs de By onlaçh- Oy <q More; For Commecrins Com BI, Sosrime Emeecris 0E Combsments REL UP AMD To Tri Rs, POSTE SENSE DE ALEIA 17 CounTERCLOCk WS, (Comrimuzo) 86