Circular Motion and Centripetal Force, Lecture notes of Physics

Download Circular Motion and Centripetal Force and more Lecture notes Physics in PDF only on Docsity! \ G. i C ircu\or mot-ion Ex__ -1 irne to, cbrY)pleJe af)e \ocrp = ~06 (o.+ con~to.nit s?eecA) u) a~~lar di5?la.ceme_r1t a.lier 10s? - _b_o~_ i bJ on8ular Sf~eol? CJ penod 2. {\.eiue_r)c y z ol) \ineQr -S.feecl a) _An0ubr Jisp\Qce(Yleot )_a ,e:an0ie movee,l ~ince. '6tnrt- _i ot «f-lT =') 0 = lT/1 ro.cl = bJ,. An~ulo.r s?e.€cl Jl-0 = L:16 -= ±Jt = 11 roJ $' ( ho,~ mon) rc,__J,ua~ \ b 'F '-IO=> ~0 ver s.e.cond J Cro ,, CJ 'Denod-.1T = L\ o or w = .B.lL -=1 T = ~11 -= ~1T -=- L,os. r , w lf/10 -=-.___ __, h-e.ctuenc\1,\t = ] _j_ ; 0.0:1-51-h -,- - - T i,o~ d) \·1 neo., 5Ve_ed_ "4 -= 2- -= Qirr -=- ~1f )( GO -= 311 ms'~ ~;kn~-, .J t T 462.0 .,,, I <:' w __ --, I.\ TY\ ~I !001-e v= ;, v =WI' mdliu~ \1f\ea.r O.f\~u\ci..r sre-eo.- s-p'eQcl Centri~toJ o.ccele.ronan T=4os fJ ----- ~ . rri=1500k~ I cen+ripe.1-rd .for-ce.. - o...-= ~Y2,,_-v, :• -t e.) o\.irechon ot the acceleration? P J accelera \ion 1 l -furce. ca.,u<:>i ni -the acce\a-Q hon~ h) c:aose oi +he_ b-ce --'7,(: _ alwo.~~ +owar6'~ v,.-v1 , , +he centre) h) +ric:hon be'lweer, 'tyes oncA \.he. roo..ol 1 cenrr·,~e+--o.l tree = the.. ~rce_ _-\ho:\- o.ct:5 to ¼.e.~'\> tY\e ob~ec,t mov1<1~ 1n o. c1rc:le. een \r i p.e la I all e \era tiDI'\ = a cc~\ eroJi m J. u e. m the_ - ce1Yr'ri?e\.o. ( ~,ce G,?_ Newton':') lo.w oi dro.vit-o.non M F Dniv~r~Q, oro.vitohcrio. \ CDf'\ S.r-o."l ( = t(;+ x 1611 NM'"kf) ( Gro..vitu hof"\al -he\ol H 1/,: ,/ 7t(\ m • (compare. a\wo..ys a+\ru.chve sma.\\ kst lY)o,.S.S / ~roidutional f'ie\J: "ne°'ilth ,\';J- \ units, \Jkf = the. \orce. per on·,+ mo..~-:, ex-perte.nc..e&. b1 c..._ s0'\a.l\ -po·1nt VY\0-..S~ yi\o..c.ecl. o+ +hu+- po"int (Oos,e+o Earth'~ ~ur~a.ce. +hi':) \s co.l\~cl \ \/ a.cc el er~ hon olu.e_ m iro..0t 4l" ancl ~,ve0 unih ms-1.) 1) Po\nt Y¥\o5S 2)Sphedcal mass H • r The_ helci -s\le°'ijth1 i-;, exoc-1--ly \-he. SQ.me · a.~ lo()1 ClS -\he poi1\-I: x ·1:':i ootsicle. the sphere\_ (=e. J;~~ce',~ ) E )( . Gro.v",to.-nona \ he\cl ~:/rre.n0-\h on 'Eos+h Sa~e1lld-e So.\el\i\e.-::: Q(') obje_c+ (CArhha)JjrnoonJ orh,hnd Q.(()L.)Ocl oroun..o Cl pla.!"et or -stur - - - ' . / 1c+o +he ,cenhe.& the. Earth) r ®r\1 \ f I force rJ 0,avi+y = cenlripetal brre = 1=(. - - - - -- - -1 :c; Hm = rnv'-, I rl. y ' I I ( Uo\e,I