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PRACTICE:Physics Unit8: Rotational Motion



 Author: physicsPublish Date: 2022-12-13 12:30   Total Marks: 79 mks  Marks Awarded: _____________

User Name: No Login  Start Time: 22年07月27日 13:44  Switch to Whole-Paper Mode

Mark Problem
1#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular displacement is usually express in units kspdj r)8c3v* of

Correct Answer:    

Mark Problem
2#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular velocity is eo f(k ghkk-qdc2 i*ies(ohj.z ((mt92xpressed in units of

Correct Answer:    

Mark Problem
3#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular acceleration is exprq(g7ovtc8h9 q1 t6;6 dc nekmp8xrw 3fessed in units of

Correct Answer:    

Mark Problem
4#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merry-go-round -or3h;6bnmr p (/ouy n+e-qeywhich is turning at a constant rate. The boy isuy yr n-h36m/(pqen+bo-; reo near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

Correct Answer:    

Mark Problem
5#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merry-go-round which is turning at m1r5 k tqvl, zrazn650s(x50ekk4atna constant rate. The boy is near the outer edge, and the girl is closer to thes ,tk4z1mzna5kratl50evk q(x05 6nr center. Who has the greater angular speed?

Correct Answer:    

Mark Problem
6#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merry-go-round which is turning at a constant 0q xt jigaic)s;x*h23rate. The boy is near the outer edge, andqa x x*)i;hgc0tij s32 the girl is closer to the center. Who has the greater linear speed?

Correct Answer:    

Mark Problem
7#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding a merry-2uop+v2fw* rbp/; lgbs3 e 3t+4guw oego-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripe+ 33ou+wrgspet/l4; bwfb2o *2e vgputal acceleration?

Correct Answer:    

Mark Problem
8#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding a merry-go-round which )s/9unfe( x+ydfom k( is turning at a constant rate. The fsn (f(yo m /ke)9xu+dboy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

Correct Answer:    

Mark Problem
9#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a rigid body that is rotating. Which of thev b1lc.(qxbj2 following is an accurate sta b.x(2lvjb 1qctement?

Correct Answer:    

Mark Problem
10#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Rolling without slipping depends on;4lj:bv fzn hvn0, wn(

Correct Answer:    

Mark Problem
11#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are applied to a door. The firszrvf7a l(*ge2t force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which forca7eg2*vz (r lfe exerts the greater torque?

Correct Answer:    

Mark Problem
12#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are applied to a door at qpxx hc4*gu0w12st;3 djq( u bpp7) gothe doorknob. The first force is applied perpen7wj*qq3) ct2(p h1; uxgpdos40px gubdicular to the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

Correct Answer:    

Mark Problem
13#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two forces are applied to a doorknob, perpendicular to the dox53x:ealn/t x 9svqk4 or. The first force is twice as slx 9/kvxt5 n:xe3a4qlarge as the second force. The ratio of the torque of the first to the torque of the second is

Correct Answer:    

Mark Problem
14#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What is the quantity used to measure an object's resi)vs w1vy dznco-y*:6istance to changes in rotation1so w6cdzvy )*n:v- iy?

Correct Answer:    

Mark Problem
15#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform solid spheres where both have the same diameter, p ixkc7,pl:3 ghl27lr but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment ol3,g2hki: r p7lc 7xplf inertia is

Correct Answer:    

Mark Problem
16#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two uniform solid spheres have the same mass, but one has twice the r .:id-,v3tf woli r*euj.hf2 l4b5cykadius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller sp :d jw4.ii,ue v52tlf l* .hckf3r-ybohere is

Correct Answer:    

Mark Problem
17#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform solid sxu ta3*7ivs -ppheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller 7v3x*psit u a-moment of inertia is

Correct Answer:    

Mark Problem
18#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A uniform solid sphere has lm:ol48xn t9fmass M and radius R. If these are increased to 2M and 3R, what happens to the sphere's moment ofxn:o98ll m ft4 inertia about a central axis?

Correct Answer:    

Mark Problem
19#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  If a constant net torque isau b4/ m,. sx.ojqxp7h applied to an object, that object will

Correct Answer:    

Mark Problem
20#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The moment of inertia of a solid cylinder about its axis is givy1zhs,ap plh-/ci t. 9en by 0.5 MR2. If this cylinder rolls withousl.1ytc -ih/apz9ph, t slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

Correct Answer:    

Mark Problem
21#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a motorcycle of mass obqju+6 f/ oy dehx;2i7 lk;g7150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of te 6x/hb;id+7 g oyjf2u7l;qkohe rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

Correct Answer:    

Mark Problem
22#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Suppose a solid sphere of mass M and radius R ro pglir2/+rpm/lls without slipping down an inclined plane starting from rest. The linear velocity o/g rpl+pi/r 2mf the sphere at the bottom of the incline depends on

Correct Answer:    

Mark Problem
23#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Suppose a solid sphere of mass M and radius R rolls without slipping dowz, .rzfctu2i)n an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incf2)c rz .uzt,iline depends on

Correct Answer:    

Mark Problem
24#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  "The total angular momentum of a system of particles changes when ahh y 0 ltl)w9y7uzo1/g net external force acts on t0 )hu ogyy/lwz9thl71 he system." This statement is

Correct Answer:    

Mark Problem
25#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  In what circumstances can the angular velocity of system of particles chanf,ufxgq0zwk;0m r57t hoj2eo1e )m *tge without any change inmkoxgfht2q eutfz050mw1 e,*) 7 orj ; the system's angular momentum?

Correct Answer:    

Mark Problem
26#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The Earth orbits the Sun in an elliptical orbit. Ignore any fricgqs t7luehh 1 2;h k8hc -gz1v-ld+g7ction which may be presenthlz-k-l2gc u1hth eqcdsh g77g1+v; 8. What happens over time to the Earth's angular momentum about the Sun?

Correct Answer:    

Mark Problem
27#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The Earth moves about the Sun in an elliptical orbit. As the Eawk6 3lcxwbq xe k25+9nrth moves close to the Sun, then which of the9 lkqbw3+5 nx cwkx62e following best describes the orbiting speed of the Earth about the Sun?

Correct Answer:    

Mark Problem
28#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouet/cth,,(fbf m pte (a fast spin) by pulling in his outstretched arms close to his body. What happens to his a,,m hp(fctb/f ngular momentum about the axis of rotation?

Correct Answer:    

Mark Problem
29#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouette (a fast spin) by pulling i o54xjcjcqz f0td9+9n 6o j;bzn his outstretched arms close to his body. What happens to his rotational kinetic energn4q 5d9;z 60ob9j+ xzt cjcjfoy about the axis of rotation?

Correct Answer:    

Mark Problem
30#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouette (a fast spin) by pulling in his oue i 3vikyk(7-3k(ubb xtstretched arms close to his body. What happens to his moment of inertia about the axis o(ky-v3uix 3 (kei7kbb f rotation?

Correct Answer:    

Mark Problem
31#
 
Free-Response ( 1.0 marks) Whole-Paper View Save Problem  
State the law of conservation of angular m5/c*9m zooe huomentum.
Correct Answer:    

Mark Problem
32#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What arc length does the Earth travel in a three month period in its nearly c eje y9j*e,2eqircular orbit about the e9jeqejy,2e* Sun with a radius of $1.5 \times 10^{11} \; m$?

Correct Answer:    

Mark Problem
33#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The second hand of a clock has a length( ayv,xzg xbl* pl:f0ub.+;ps of 0.30 m. What distance does the tip of the second hand sweep throp,s+ u :xl lxbbvpfa(0;yg*z.ugh in 3 minutes and 45 seconds?

Correct Answer:    

Mark Problem
34#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many rad/s is 25 revolutions per m0 :m6oo jvs8twpv4 2kainute equivalent to?

Correct Answer:    

Mark Problem
35#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates y5bi-q6 vhhgl6be ;psu id-4+uniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's ro6+hb- ;el6b-dhviyq gi54p ustation?

Correct Answer:    

Mark Problem
36#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A pulsar (a rotating neutron star)r3wd:d*j , k 7u3khe lter9t (-+ymvzd emits pulses at a frequency of 0.40 kHz. The per9zru+37h-jyd t (td drm:ekev*w,3 kliod of its rotation is

Correct Answer:    

Mark Problem
37#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A phonograph record rotates at 45 rpm. Through what angle does it turn ijol06 4wh*cgfv7cob5(k rn a;n 0.20 bv(o70645oh* g kaclr jn fcw;s?

Correct Answer:    

Mark Problem
38#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on thew r(g./)* ,sjnzcq tp/wlqse. outer rim move iws.e* qctjnp)(s/r.,/g wlzqn 2.1 s?

Correct Answer:    

Mark Problem
39#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates u8 q 95tnlrw(zgniformly through 2.0 revolutions in 4.0 s. What is the average angular speed of the z9nw rl5t 8(qgwheel?

Correct Answer:    

Mark Problem
40#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotat .4m ev,awu9bles uniformly through 2.0 revolutions in 4.0 s. What is theweb. ,9lm4u av linear speed of a point 0.10 m from the center of the wheel?

Correct Answer:    

Mark Problem
41#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A cable car at a ski reso-aaqidz5k *6crt carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip iaz kd*a6q c5-in 12 minutes?

Correct Answer:    

Mark Problem
42#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of radius 1.0 m is rotating wib6)vjru 4dt;u. y44k ac-ngl lth a constant angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel's rima6 44r jcudu.) t4llng- vb;ky?

Correct Answer:    

Mark Problem
43#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The cutting cord on a gas-powered weel)d3s 1ky*+ gh1xvefww++ylmd cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed dy1 m+wl+e*+31sxkyhv lgfw)of the end of the cord?

Correct Answer:    

Mark Problem
44#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of radius 1.0 m is rotating with a constant angular speed of 2.09gnpame w*;3xyv :s j1 rad/s. W9 ;vw*njs :gm3apyex 1hat is the centripetal acceleration of a point on the wheel's rim?

Correct Answer:    

Mark Problem
45#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What is the centripetal acceleration of a point on the perimeter of a bicyclr :(b.wn vfka5;c gj/be wheel of diameterb vkw;(g/c. 5ja:bfrn 70.0 cm when the bike is moving 8.00 m/s?

Correct Answer:    

Mark Problem
46#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many revolutions per minute (rpm) must a ci,0 ynfhe*nxx: drt cw5)3 .yrlzu( 2marcular, rotating space station (r = 1000 m) rotate to produce an artifamt.yf,z(yh*3) 5 0rxl:d2wxnuer nc icial gravity of $9.80 \; m/s^2$?

Correct Answer:    

Mark Problem
47#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A car is negotiating a flatkkh- 1pq87h8cj 3fscv.s e+cr circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by stcv7p.8 qse1 hcjk +chs8-kfr3atic friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

Correct Answer:    

Mark Problem
48#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A car is negotiating a flat circular curve of rad0g1( wo )cojc 2*glkxwius 50 m with a speed of 20 m/s. The maximum centripo(c 1co2g) kwwjx0*gletal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

Correct Answer:    

Mark Problem
49#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 0.300-kg mass, attached to the end of a 0.750-m strx-i jq 4 *yqv o-aozvk-*9fb9aing, is whirled around in a smooth level table. If the maximum tension that th obz aqiv-49 v-ka*yoj-x9f*q e string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

Correct Answer:    

Mark Problem
50#
 
Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem  
  A bowling ball of mass 7.5 kg a/7qm.bco ayrt x*7)vi4hetq2 nd radius 9.0 cm rolls without slipping 10 m down a lane at 4.*yq 7b2m i4 t7 )ax/eovhc.rtq3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

Correct Answer:    

Mark Problem
51#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel accelerates with a constant angulq6.4bnp w dlr 2c5b:xyhx b6/kar acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

Correct Answer:    

Mark Problem
52#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel accelerates with a const)i;sv4ai2ry k ant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

Correct Answer:    

Mark Problem
53#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many radians does a 0.300-m radius automobile tire r*bw-d zw7hmn;m 6lsm8v0f5th ;g bnzt2sc4 )xotate after starting from rest and accelerating at a constant angular acceleration o5mn mh 0bzsz4;v; hgctbs62t * )dfl-w8mnx7 wf $2.00 \; rad/s^2$ over a 5.00-s interval?

Correct Answer:    

Mark Problem
54#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel starts at rest, m(e zr6mf j+2nand has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

Correct Answer:    

Mark Problem
55#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A Ferris wheel rotating at 20 r/lkg*,mdjee + ase j5g4sy-p6ad/s decelerates with a constant angular acceleratios -j 6,5ga *y d/+4gmejspleken of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

Correct Answer:    

Mark Problem
56#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel starts from rest and reaches an angular speed of 6.0 rad/s wprrttv 417em3fv9u6fo,p78 i fms 3ejhile turning th4 9pv mvo3freej tr7mi87p 1,fftu 36srough 2.0 revolutions. What is the average angular acceleration of the wheel?

Correct Answer:    

Mark Problem
57#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slows down uniformly from 8.4f+jkr+6fz,c /lrb,va 0 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates i+ zlf cr,r+ba6f kvj,/n coming to rest?

Correct Answer:    

Mark Problem
58#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slowvhg bf4*08zjfs down uniformly from 8.40 m/s to rest over a distance of0hjf8*4 zb gvf 115 m. What is the angular acceleration?

Correct Answer:    

Mark Problem
59#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slows o.zrs4*x.o fh down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to co4hfx*.ros .o zme to the stop?

Correct Answer:    

Mark Problem
60#
 
Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem  
  A centrifuge in a medical laboratory rotates at a rojk r8wz2g9*2tr nja ;ptational speed of 3600 rev/min. When switched off, it rotates 50 ;w*2t9n2 8r rajkpjgz.0 times at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

Correct Answer:    

Mark Problem
61#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The bolts on a car wheel require tightening to a torque of 90p-1+cz5q+ i wjfvxmz8 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the forc qmz8c+i1fxj-5w v+ pze applied at $53^{\circ}$ to the wrench?

Correct Answer:    

Mark Problem
62#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel with moment of inertia qdf5p5h nmm7)$3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

Correct Answer:    

Mark Problem
63#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A triatomic molecule sr,*obuhf:hzm zo-. 2is modeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment:z-bfzu .2 mhhsr*oo, of inertia about the origin?

Correct Answer:    

Mark Problem
64#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid cylinder of mass 10 kg is pivoted about y r l8;6sseog4a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fis 64lo;grey8sg. below) What is the angular acceleration of the cylinder?


Correct Answer:    

Mark Problem
65#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid cylinder of mass 10 kg is pivoted about a frictionless axis thoughu wsw,2/un ez2ql.cw 1t the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.2 ne,.cqzwu1ul 2w/ws0 seconds, if it starts from rest?

Correct Answer:    

Mark Problem
66#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 4.00-m long rod is hinged at one 6 8gq(w :k-qt *jvqfeqg k(l7mend. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a*g6kwq(k- v(em qtfq:gql7 j 8 rod about one end is ML2/3.)

Correct Answer:    

Mark Problem
67#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a bicycle wheel to be a f9vaewx x3xajr oj:t6ek5);)ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the )a9 3x:jv tew6xa fjr5)o;kxewheel achieve, assuming it rolls without slipping?

Correct Answer:    

Mark Problem
68#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 1.53-kg mass hangs on a rope wrapped around a fricu w le+qosn 0dxd()pz3gl/;3 ptionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular dlqdpl3 e3n0 s ;)o+w(g/upxz acceleration of the pulley?

Correct Answer:    

Mark Problem
69#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 1.53-kg mass hangs on a rope 47kfm +smr7pz 5mvrrit 3vt++wrapped around a frictionless disk pulley of mass 7.07 kg anr7r 7mi 54trz+ 3fmmsktv++pvd radius 66.0 cm. What is the acceleration of the mass?

Correct Answer:    

Mark Problem
70#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A rotating flywheel can be used to store energy. If it is ,l76 t8m ewtforequired to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

Correct Answer:    

Mark Problem
71#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of moment of inertia ofjguxacu.3o drr:da:6 ozr b5 9pa-s,, $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

Correct Answer:    

Mark Problem
72#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid sphere of mass 1.0 kg and radius 0.010 m startsfnivg)e(zt lj/c :5+ n from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of tjev:cn 5l n( +zif)g/the sphere when it reaches the bottom of the inclined plane?

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Mark Problem
73#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid sphere of mass 1.0 kg and radius 0.010 m rolls witl9jgm, wnvzg *+3- siph a speed of 10 m/s. How high up a*pg zm,+wn 9ji -3lvgsn inclined plane can it climb before coming to rest?

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Mark Problem
74#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A hoop of radius 0.50 m and a)m8 6 ep0sqj3tg8xmit mass of 0.20 kg is released from rest and allowed to roll down an inclinee68gsjmq 8ixtt0p) m 3d plane. How fast is it moving after dropping a vertical distance of 3.0 m?

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Mark Problem
75#
 
Free-Response ( 1.0 marks) Whole-Paper View Save Problem  
A solid sphere of mass 1.5 kg and radid /qeby571 rlt9vo. p hx+j(vrx: dyk4us 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is r7jd(+4v1 vkd.ltr :5bx ox/p9yq hey given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?
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Mark Problem
76#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An object's angular mo(55aw nvtj6t1dx o:xh mentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

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Mark Problem
77#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

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Mark Problem
78#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater has a moment of inert + qni8oc(x1pzia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

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Mark Problem
79#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A figure skater rotating at 5.00 rad/s with arms extended has a moment -i* bdhy l*5reof inertia of*r 5h* ey-dbli
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

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