ahn (ka6577)- Circularmotion - ahn - (1b011) This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page - find all clroices before answering. 001 (part 1 of 2) 10.0points An amusementpark ride consistsof a rotating circular platform 8.78 m in diameter from which 10 kg seats are suspendedat the end of 3.54 m masslesschains. When the system rotates,the chainsmakean angleof 40.f with the vertical. The accelerationof gravity is g.8 mfs2 . I gi^t \ouP 4* "*^*1C r [a ,,1"s; b @ '!: *f t? I \J L'' .;'/sn 4 ..| ir $r+en, l:/ @? 2.u: ^@ vp WTr*" 1- (t\t I y)' t," [.r 7 4. u :2 p\/g R r What is the speedof eachseat? Answer in units of m/s. 002 (part 2 ot 2) 10.0points If a child of mass49.1kg sits in a seat,what is the tensionin the chain (for the sameangle)? Answerin units of N. 003 (part L of 2) 10.0points An amusementpark ride consistsof a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (seefigure). The coefficientof static friction betweenthe personand the wall is p and the radius of the cylinder is ,R. T-.) I-trKeJ , t+r ^ W{At3r tJ'{- l^.J.z S",+ 1, trk^* -l .F B.u:JgR s*^t 3 F'h r + . K +\s n \.t-l d -{. 'trPc 6 ')- f lLztr,K-. .v nFL ^?^ tit^ /tivt(,x 11s\- Js ,) ; =f\'(fr/ 7.u:H 8 .o : p E g R .-hl 7 / 9. u :2\/g R 004 (part 2 of 2) 10.0points Supposea person whose mass is m is being held up against the wall with a constanr rangential velocity,u greater than the minimum necessary. Find the magnitfirdeof the frictional force betweenthe person\andthe wall. P m,,,2 t{rJ"*t "l rf h,renlrvt,rtta- At G.u:pJgR !.F:m9 e() I 15.u:2t/sn \ 2.F:+ H - trms ff;( bu'-rul^!,*/ [o?, r z \ l * , Ja v , 1 " t x \-f s lqi- tl ue nlre.J>#^"t ahn (ka6577)- Circular motion - ahn - (15011) 3 , F : m q" + H4 4. F: 5. F: // < ILmu2 -mg Find its centrioetal acceleration. Answer . ,2----+n-Unlts oI m/s-' \ iir'r-un6f * R c-tv-cJ*Y mu2 E 6.F:p,mgI .-\-. ^ I: 0O7 (part 2 of 3) 10.0points continuesto fly along the same horizoninereasesits speed aL the rate of : C\Ar'.a-€"-^- mu2 the magnitude of acceleration under 0. R new conditions. Answer in units of ^1"2. mu2 I. ItR *L A r =nA? F:mg _R prnu2 1.0.F : F , m g le\- 008 (part 3 of 3) 10.0points nd the direction of acceleration relative to he direction of motion under these condiions. Answer between -180' and 180'. Ano. ' t / swer in units of ) g=t4n= ( / 005 10.0points A ball rolls around a circular wall, as shown in the figure below. The wall endsat point X. f-', 009 10.0points A racing car is traveling on a circular race courseof radius 574 m at a speedsuchthat it 1.32rev in 1 minute. The massof the car is 1220kg. What is the centripetal force acting on the car? Answerin units of N. 01-0(part 1 of 2) 10.0points A car rounds a slippery curve. The radius of curvature of the road is R, the banking angle with respect to the horizontal is 0 and the coefficientof friction is p. When the ball gets to X, which path the ball follow? L. Path C Y p*, 2. Path A 3. Path D +1".6t1 {) 4.Path E {t.^. h^tt il - 5. Path B lrr<o '^^ /r Tt*-J*€ 1. 006 (part 1 of 3) 10.0points A hawk flies in a horizontal arc of radius 18.6m at a constantspeedof 3.9 m/s. Ll O n\ (xltr"-. What should be the car's that there is no frictional force car and the road? cTrrcJ-^-)4'+a€u'-' J, Rt""0 q> R J *2' ? @ AF: --"tr c+7 F-.-tr ,Fv"&"L,- ahn (ka6577)- Circular motion - ahn - (15011) G.u:JgR p,g Rtan9 011 (part 2 of 2) 10.0points What is the minimum speedrequired in order for the car not to slip? L.'u*in: , . , umLn 2. _ p"sin9* cosd 9B(sin0+pcosd) cosd- p,cos? 3. u*in: gR(sind*pcosd) 4.'u*4n: g.B(cos0+pcosd) p,sin?- cosd 1., v ' uffL'ZTL - g R(sin? -| p cos9) p,sin9* cos0 6.'u*in: 7. u*in - g R(sin? - p,cos0) gR(sin0 - p,cos0) p,sin?* cos0 r4nl lit=fi*"1