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Simple harmonic motion, Study notes of Physics

An introduction to Simple Harmonic Motion (SHM) and its properties. It explains the concept of oscillation, displacement, restoring force, and frequency. It also discusses the motion of a simple pendulum and the oscillation of a mass bounded within a spring. mathematical formulas and graphs to illustrate the properties of SHM. It is a useful resource for students studying physics and mechanics.

Typology: Study notes

2020/2021

Available from 01/16/2022

adarsh-pandey-2
adarsh-pandey-2 🇮🇳

5 documents

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Download Simple harmonic motion and more Study notes Physics in PDF only on Docsity! (Mle VTC vices cine setae com: ay 14 Subject. i ‘ami i eee UCC 5M — © ° 9 ° 6 Hime fs cfd on eulodic. omolfow YT E \ waitonm durulay moteur Cel Wy ; ° a Oscillatfew 2- on) op ° ° } oO e amoue Lo and uu) about a Hk hoint this 4x point fs_cfd os mean basfiou of hantfle ok. 29. puition of pantitle |_ovdilatfen 9 bob afimple Peudulum, Osditaviou Of amass. touneded wdiHn a Hag fom oudtintfor eS Fog —™ [eo= 1.2 s-..| Evotty oscfilatany omotfon ff hrenfodl ake. but all horiodis molfou_ano at. osdillatien dq CN Weg 59 Neer ans vee Ras Hs a boastfular. type o oscilalous un whith Hontauing tance ou bontie és dereuty huohontonas fo_the diiplucemont 6 moun bocfifon 4 Obpocte fa div” £ fosce £6 fA diester! Tanna the densi potion). dicblaement = dish {aon Mean hasttfon Restoring force = = F 0-2. {x= Restowtig fovee const) AIP aT Ynean SiN & FS -kr. The Learning App For ( Law ude TOPPER NEET AIIMS JEE RAS Date.: __/__/. MON TUE WED THR FRI SAT ol Subject OIDILILILILIL) Pius SUM Restouting touque 2X -9. F C= Rosine } J ze -¢e. fovee Comat. Stable € Aetfinatton. te ipa | Pitot ble £ & se + x=-f =D c= A FO. f= may PE=min. PE = may KE= may KE=min Nf 1 412 ° 0 2. { + | Time token to complete one crcilidien. re Kia Hime peufod_ > M0: 9 oscillations Lombpieted fn_a_umit fimo fs ka -frequomcy ( ( Lf = | DENNEN TOTES tes ssce corer | : 4 Anguldx fuequemeu = | w= ont | q ret ] Cf j o 4t a boutiile move ina chute pata Hons 115 punto Hew. 1 On _diameten wit henfanm SHIM ax 2hourn . + | 4n tof omolnad. 9 culo. 64 wadfus. equal to Amplitude f plotted Take ioe G fet as UCN = qe constant wal We B= e= Wt. € VAG Belgas 9 nicer aims sce pas Date: 7 /, Subject SSeS544 2 V-x- Guap > ELLpse. — eee > x te : Cha _ 1 dex (Aw >A) aps A= Au) U-x G.taph Civelo Ler) oF Vee LP us Az A v= w?(Aa®,?) fr) ee | Ve uw [ p2-2./ LZ a J speed dt dicshiacementt- FV WINE eS SaTY ves sins see nas Of MP > x=0 > V=Aw (sored) 1 _K-E = may PTV PCC EK CCK SKYE COW a EP D> rtp > veo _ KE=0, oe Acc” s+ — Jet x = Aedoutt verisy V= Awraswt. O=dy 2 a2 Awf-wesfawt) dt v ‘al a= — WW? Ac faust Pom = wep. | ani » 1 PV AG Balel gas 8 net aims ace pas / Date.: __/. : MON TUE WED aetetaa el Subject o— WHIHINUOG wr. T = — / ( ! — ~ oe T | of —_ly_/ ware - +. \ / Te 34 T | | -wrA XZ 4 ditt €q” | Q= ~ ws | > | d2n +UI%_ =O 7 [_ dt? 4 4 (G-x (vaph / Straight Miva 4 Y= mx 6. { slope m= - Ww? a . { Antencebt “C =0. Roe \ | +A x. 4 -A ‘ -wea, | | af ; | = ty e Learnin: ‘or t | Qa WINN sce aie aces — dt MP sc=0 2 Go. te ob EP > «-+tA (0 = wp | Nes NTOX MOG: N | 8 | A panlide & peufaurning SW with Amplilude A fc sheed ‘ Yo of Hae max shecd e ° ° 2 _ Lind out Kime {rentod o SHM a4 a Date: /__ /___ SSSSSA4 Cved e at NP > x =0 4 Feo ny foo aeEeps .=tA ~ e = mua | yay mag. 7 Tr nn aga veer aimsuee nas V= Vmax 7a lo A222 = fio : 2 Square. eu tootty Srcte, Ar-7> |= Ae Yy Gar = x2 + La tA a i) Gd’, +ux =0 d2z + wrx =0 —@ dt? ote Cotupasre eg) aud@ aAzX +4 x =O a) wt = Y 5» wHQa ot? 9 I 3 = = Js 2K = 2A = Bx, o WO 2H —* her py : t | 4n teums a dfipiacememt KE = pen yee w2{ A222) fs zm ws? ( At~x?) VAT Waele carting Ar KE = | I Mew f a, VRP PPO eee Hee CECE ECS oY may. ok MP > xp (ees eas OF EP ota = wero, VT We aa er eer res beie: ff ¥ Subject 5h - a Kee si _ U a a, 2 | ER" | LN t i X — = ———— ad V2 T ; e Ts 8u) ¢ od KE = pert costust 5" COS . KE e LER y \ ! ! e@ Ae : WAY ve 9 Te T 4 T 1 2u) @ VTA ves sie ees Q: A pow Hide fs pexloumiiag Su __along a Shug igut Vitae ab ‘ place mel 43 and sc fiown . mean busfiten it Coad f Vr and ue Hom bind aie. Amplitude Anquan. juveg Lust} q ¢ T, + and Viti 4 J Aw. V=_ WwW f AX ~x2- at =a 4 ve Nr=_ wl? (Aro?) akx= a2 4 yrV2 Wy2 = _ W202 ~a 2) —@) Vt = we ( a-t) CS) ao!) el ie lel ee u 1 C CMe rag nicer aims see Ras bo by pS Subject. ec 4 Py aia a 4 fj - Mivt= Ar-ot- ? VPA Vite = Vera? ~ yore? @ wr prt -x% ae » A* (vi?-ve2) = Vix? - Voth = a > Ar = Uta — a2 a% ’ yi2— V2: teh oe pe = D | A= Lite? - vo Bb w2- e™: > Sy . SQ - 4a > woz » T= 90 fe = 4 s w T = Nay = Au). __ FVM STIS g resins Pio. | a pote =n (mam= ake) f bertaning SMM along a straight T= a7 2 4n 5 nse Ww x = Dp Vine on hen Give, von Hind out Hime pen fad AP max. > foure arking en the baitite . 1 a(m|z), may = Ma-mor. g _ > a8) P aN te 216 Pa — J m(m). slope = ~ tang, > : es a. ke NY Mw? =~ Ky we fy P Wd o P p— s » fat = veaw2s | The Learning App For Law KA TOPPER NEET AIIMS JEE RAS Date, a oiaiiaaea MON TUE WED THR FRI SAT st Subject. LIDILILILILIL Gun A panfile. stant tun. meam postion. wiih a Mimo penfod 9 ace find out xa of dittance couerad by pantie th Ist and oW4 coy, | A and Time pen io th Lad ouk min™ Hw fo mouse from ac=o, to 2A and. fuom «=a fo «=A 2. i Pa s Ay.t- mM nt Aye. | sc = Asfnwt 4 — xan pe=—A T=0 = t=25y [ OF Tie } z= Ash / 2x ' | a ws A 19, glst =~ A/t ~_%a 82nd A-W Yep 2 e arnin: ‘Or. = i AAJ KA TOPPER [iemattiaaaned : Vo-] p= T i U q | yee Ale } T= AstOU " ae =peen | ag t1 at t=t) * = A E=0 ) [ 2 , [a =4se, for xt J} oa Ur 7 Sinfonb\ =4 = on/r\ , rT a Ue 7 drt) =~ i=. Tk. ' — 6 12. K=O —> XE Alo = }ti= Tia y= hh > e=A = toe p-t t2=7] yY\2 é | ‘ PV AG Balel gas 8 net aims ace pas - Subject, i 555 5 BE= ope Kp? x2) = 2 Lkx) aot Ar x2 = 9x 2. 3%? =A2. ae tA fB. CC CIC CEC | db t= Pos aA \2 2. + we = “ek (R22) > xe = bk (n?-"y) p. 2 kx. Pre Yo KU Ry) Pe Ne KE = 3@/y. =3 Pe, RY tf: PERC veer aimcuce nas fou oltwean sfmble taumonfe osditatoy faure constant . f. _oxto*- sim ond Ampltiude & tem, otal emongay {thor ten Hind out may xe. nay P.-E. and win 0-E ki = Iyp? = {ox.10°) {1\2. wor Utoo) KEmay. 1091 Pye > BO ee Oe GO eS @ E= KEmay + PEmen “E= kEmin + PEmay (60 = too + PEM, [60 = Ot PEmay PEmin = 603 PEmax = 60T Wolf__Aveuage value of suit f torust fou our hoxiod & Zen” » PV SG Bale gas 8 net aims sce pas Date: __/__/__ “ MON TUE WED THR FRI SAT SI! Subject DOIWIWILILILIL = Po2uwit . 2 40 a Vo 1 Tineay & Avgulay $SHM = vo T= eae linear $-H:M Angulan SHN. | F -« 3 f=-Ke nXk-@ 9 r= "Cp | OF ~wWr« of =~? 2 W= Tx Ws Io. } X Tr j YW. t+ _an|m T=a&n [x K. Cc. PU Cae ddd neet aums vee nas! * 2 = Simple. pen ulum ene BoB. “ te ~ (oengsfne \2. F omp =.smalt ze =mg ie. svelp. J : Subject, moou- gv 3 Thwe pentod f | Date.: _/__ /__ ETT cer ais vee RAS pou on me 2 CI CCegteCed Te on hte on Ig } hs<cko W j Jz ¢ Tenant aioe, SHM for: B ou0! s (ake X T 22 » = ft A QL it Pawecrnoal fou i) ay. il) Yu y. > s Aw Te on [ge > rele z., 9 AE = l oh . 9 Dear o yey Lyxg ¥ yrs ty 9 P es oe PVNN NSCS wee seer. > lon _a¢ | 102 4 TE J YY PS > IND = 19 » Ee TES 1209p a a ATs 120-1v0 x1 | 160 STY voy | rrr UCN ea a aes oa, WED TH Subject DOODICILILILIL The Learning App For’ NEET AIIMS JEE RAS , VNC WRENS os as tens owe: 1 S Subject. oes = Simple. Yemdulum i Liquid smnecliuny . » S, Fervq, ee = ae en > eo NI: r — = oA - yw 8. on ee ts daa YY, a= (+ vw soa j io . HB wee 1 = on | fa [g-<4 T= on [2 [4() Q.sb- p04” VREveVervevVFer-vrageeqe gre PV AG Balel gas 8 net aims ace pas dod, Date,: Subject Aeaeaece Second Pendulum: _ The beutiod = 9304, at Porth Auwtove. * ° t= an] 8 4 ~ nr: / q. & = @7n [ g { jn 7 G4 | Q = im : \ Note_ Mf Ot, combanahle. to the Had fua 9 eanth 4 | Pendulum of fulfiafie lomadln. i et ¢ — — : T= aa £ 2 T= 9 fas , ‘ Lt R)) ts x) J (he dg 4+ dose : eat = T-orlR = T= pws min, { 1 ii) | L=re T= on [g TX somfn, i aq j { Que | Two. sfeaple, _p exndautim | length ionun and Wvan — « otank oauitalten Ciera > south phaae. . falien _ ow \ wauands odtTilaltoan S\__2malion pomduluen troy 4 The Learning App For EVNICedaand Oe) dd 39 NeET aims JEE RAS vue b y i Subject espe fx. K: hy, Step -1 . Zourlt buvum PT] | b 4 H. Step 8: == b ) 2 aie SON nT TE == ke] b q ~ a L Step 3 Sol- 7 \ “ a ™m (-w?x) = IK I \_ (ee [RN ar . . WwW. r >} Laas vo ncncerss Cae ae Fa 5 | ad p Ey. = : r é k. Sige re ti ng. } i x. “ L vy . exhamnion ak equilifbuitum. i i “4 \ - h E R= K(a+y\-mg > koe yer b re | ao ; z Fe : ca fF} i fear | : [ IK hr r Subject PV AG Balel gas 8 net aims ace pas Date: __/__/ ‘asi ia A SA LILIL ‘ T 3! 5s | —FRnd ote The period. 8 aacinaion ot een Aa tw ji. iy ____. a ee Ye Se ee en 2 * K a es = —- + Keq = Kika =) keg =K | + =an | _ * Ki tke ¢ J u (k2) e - oo We Q. Fy eK \ = arm b Lux + e ‘ 3 — CS) e “3 portion] 2 orm o = = [ k. _ NTC g as sccranceces caf One Ak —= Keg = kithe +b ° e Seind ons waiters keg = qk. oe prt yap feat eo re Commeded tu “ Tis on hh Panalie) ™m [9k. - Pe Q. A_tlocb Of eas 5ko. 1 sushemded pum Q. ventical mm 2 q q Abriiag ~ amd Apuag -£otpand by sum fa each ikq mom ot equilinntum fd out tne ponidd at eq = Lkq — 2 um Sky Dd 4 = (oom. f Sat mqe ky DS S¥ID= (SY) RESON PWT, ald belies AAJ KA TOPPER The Learning App For NEET AIIMS JEE RAS Date: /_ /__ Subject ASSceacae re gnim ? anfs > T= see [k SO at menm pasition. = Awd T= | By con ms Mu= (Mtm v2 amay =Hq . > T& Im. Omar =urAs/ k to q = [ey W = Mjm = Aiwt \aren/ 78 [Mim [ Mz HM An W2. 9 Zu A [ 2 Wed = = (Mem | Ar {Mtm = M+ f " T We ‘ M. i Ad M yy. <-> -) A= [Hem Ao JH, e () Ww yoy 8, ft £ 9 © Limo henfod Atlafned auo fem as + and £2 ( e uy a Jo Pi. e 2 SOTO» 9- Panallel 4 Acme made th Burdened .f — Batilated Yvon -Hiang: Pantisal HAL, tre! Subject G ombound Yendiyluwo lex ae -(omgsino 0 _4 , )+@° ¥ 4 pe me Rs rg Vey “2 [XK [ GO >smal ae sth J imgeose t ‘ “e “° q ' ho 4 TX=1f-w%9) = ~m9l6 4 Lue friga 4 QC J) a T= 2h “ {= on fr 4 AL , ela aoe the Learning App For es | mg 5 . q NEET AIIMS JEE RAS Se LT i 4 tt. 0- = : T= an [s = on ES a [™gs | ma L 4 “AU Es : T= 96 lov 1 3 : 4 4 T= tomt+ Nd? 4 Toms NK?: d=? , 9 ke eet as mo / 40) CZ hw rar [I - an_|mo(k2+9) ‘ I Vas ™mq ‘ 4 ™49Q. . 4 ‘ PV AG Bale gas 9 net aims sce pas Fee Date: /_ of Subject, “ es 5 (1- on [2 ) » ke xf = Loge » + - b7#- <a / Lege | » la) » ‘Imin= 2 Te & [tees . [3 s Tmty = Leff =omia r Lett = Ib 49 oo L dlett <0 9 2/-) \t1 =0 r “dt Aa > Sek , re er| ere CNSR evans s 2 [dg » Inf = A [Be | e le | at » r Tnin artoe /[ , | fi: = a rr g 5 pine a » hee 7} an) By hy a2 Le a 3 Z » r= on [a+2/o =7T. a The Learning App For Law Lea eda NEET AIIMS JEE RAS Data; / J MON TUE WED THR FRI SAT sil subject eee (O.# o find_out Hy a o= Sm —¥§_ = o— Smal| sind =6 w= Le. The Learning App For NEET AIIMS JEE RAS Oy 9 = —— micersene ce NIC ares | Pitncpal_of —Supenbralifon hn tpn te v | compostifon_of, fu {wo _ SYM M_ some dy” et ovo, infeed ona poe. he Ubu, sone non 1 = fi stnutt _ Mi nd 4 as ol Both the ymotfon cre clone tne x. btu” and. Moir . COMMU) Oe furequency . & auume fo be zamo. Me, Hosublant ostiton We pasifue & geen Ley oS aQrRe, oe veees Az= Otoswt Psi We FN) ~ —— = Asin (Wet + €) PVC Wadia rman ap fr au = Astnwt NO a » {42 = fz chat hye . = “ 2 , ear. Me HK 4FNZ ec \ or me » Nae = Asin fut F €) fad zaz +9 AIA2 (os £ » w= Fsinwt t Oroswt. —ton_£=_Agsin { —— s = 2 AliAzios fe m1 = Psinurt. _ 7 — e = » rom ge Subject NUNS TN we ce me ow TUE i, me FRI “ae ja compaiditon a Allis fa_penpondilan oli: ott om poate tua! Aone e a buodute O_SUM_ fine - div”. given fay. = | e nt_=. Ar stnust. e tho 29 would. pupdure a SHY. fu y=div? . vem by © @ Y= A2stn(wt + S) 2 tho oq” AI falb. omy be. obbatned by clamd@innitng fuom e eqn OQ. and 6. 2 e Bet yh. Sayicosf «= shin? di 2 Ar Aj? Ar Aa 3 — CONISESS sae — ty f=0. 1? y> - gxy =0 4 si nA. ne Ai Ao Aine a Lx -¥V=d ; me eh Y s (At Ae/ Ai Az. e a y= Ar x +H , 4 hy C= he « m2 ty2 - Oxy t = 0 q Al? A2* Ai Az 4 Y= -Agz oe A [x '-y\"= oxy [Ap ( A\ ae) AtAz s 4 , 40 : PV CMe da agg nee aims see eas me » — 3 saaaee?? - @ S= a = ° n> + Y2 = ¢{ = p ae : Ay Aa™ a » = > = . Quel A boule. © man "am! fe atathed to thxee shuslg of Same Gece. constant Kon Ahown’ ta Lg pantitle » vs putomred agatinat Mae Spuifiag Cand So ensed Lind = b out Lime horfad o SHY spor . i SO) . ve ‘ x f ate} > Te eset K f ee Be _* § 8. | a a oe iz 5. : F ca Lo WY a 2Ke hy - : F = -2kx. a ; ‘ | kt Tee On lon * [ax 7 nw fa OPPER The Learning App For NEET AIIMS JEE RAS r » NY Q@= — Kx MP: oe =0 L te KAT el” Q = =K (o-2) “= a= ~ K (x+2) => go Q A baxticie of mam DlKg ?% moving along x _arxis amd ftls polerifal Lnengy i Given by US Sx (or~uy FT VAG Balel das 8 nicer aims sce pas Date; /__/_, Subject. ees ma_+ by +k =0. md’x + bde + ke =0 7 at? at (dix, thdxe +k x =o \ wo= |k (deem dt / dit eq : t , . aes Acos (wilt +6). _ NTS cer ainc creas A= Ay@ 2m. ‘ —Ce = i m= Ane 9" Cos (ult +) me fe = i 2) Ym2- 4 w'= [we -/pr. ' V lam, ‘ { hs smaul_b. thee RadPoauPory Ww! = Wo & 1h anden pyd- | B° force Osciiation 4 + | \@t. ecxtetnal foxe G4 cumbitiude fo ik Ghbied PV AG Balel gas 8 net aims ace pas Date.:__/__ /___ Subject aoe CC? Fep Lt). = fo cos Wat. r Fs -kx -=by + focoswot . amu thy +k» = fo cocWdt. wad? thdxe tke = Focosuidt __ 2 dt [me ) m= A cos ftidt +) c Tt? AS Foie, | am? (ur? = id?) * +a he - ] { Lon = —Vo CCN ad ad 59 Neer aims vee Ras Wd Xo L- Hexe, Vo and Xo veloathy 4 ditbiarement Ak +£o Case | __Smalt damp 4 _5_dasth dnfuiag fuequoncy fan —— J y furor Matsunal —Fuequency bo A= fo M_{wict tq?) Cane 9. daiufag fuequemay cle fo We natured frequanus Wd & Wo A_=_ fo luld b TTP TT Psy yrs NNT ra a — Seat ——_—______— BSSSee5 >| df. ula = We tam Apmpifiude 0{ the oxcfitait"on 4 fs queatent acond” _¢/d or Rosonance ‘<i pe ee ee a Mil | dca
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