Physics Unit8: Rotational Motion - https://webassign.org

1#

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Angular displacement is usually express in uz ak+0 o8.eijy69k eswnits of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expresb1o( zh)w7)o )y/sgxlznh t u4sed in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expresseq e ertf/in.x5.,5cjk d in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-r2/bgm r-u77p6lt qr pjound which is turning at a constant rate. The boy is near the outer2/lppumt7jbg7 6rr - q edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

C. Both have the same non-zero angular displacement.

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round whg+05pt 1jhez/soo.z lzi( o;nich is turning at a constant rate. The boy is near the outer edge, and the girl i g jl0n;+sei1zo.zt/(poz5 ohs closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

C. Both have the same non-zero angular velocity.

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turning at a constanf jw b-ety:(a+t rate. The boy is near the outer edge, and the b+- tjy e:w(fagirl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

C. Both have the same non-zero translational velocity.

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at a constantuqmj3/d5o0mw 4ob47 *jbw xaq rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleratiob7jm4q5j *3b x/o uwm0qdaow4n?

A. the boy

B. the girl

C. Both have the same non-zero centripetal acceleration.

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is t90 q:re,wi ): lt6kz :9 jmhdmc5gccwjurning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleratz59 ,lmqei:9h rkd jw6t:0cjcw:mg ) cion?

A. the boy

B. the girl

C. Both have the same non-zero tangential acceleration.

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. g:j zcpmfxmop9:(onpq/(hjn8 o8r: . Which of the following is an accurate stateo.zj::(f o( :gopmnqn j9cxm8h p8r/pment?

A. Its center of rotation is its center of gravity.

B. All points on the body are moving with the same angular velocity.

C. All points on the body are moving with the same linear velocity.

D. Its center of rotation is at rest, i.e., not moving.

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10#

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Rolling without slipping depends on x 5qb+gktn6:i

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The first force is applied - 6j(.pri vxwuat the midpoint of the door; the second force is applied at the doorknob. B-6 jrup.v (wixoth forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a dqxpy3x 6r)vjw2 8vj)g) i7yfhoor at the doorknob. The first force is applied perpendicular to the door; the second force is ap8v )2)x)7hxjpyf v36 qw jygirplied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The firsc3 kh;.(,w;kvhyt y o+dem a3ot force is twice as large as the second force. The ratio of the torq. h;v, dy33ayk;ecowtmo h(k+ue of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What is the quantity j -o/azk q.oj5used to measure an object's resistance to changes in rotationq5o /.zojakj -?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spherznji7 l8h1/ ries where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia 7irj8l 1/h znito that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one hasi:m r )m*qyc* lp ime:)xo((uojxl m(1 twice the radius of the oth1(rpx x *))mm(iq* (e:o mlylcuo:jmier. The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid f gplh:z1 asddml z +ov t e+1u;b.v903f2ae.gspheres where one has twice the mass and twice the diameter of the other. The ratio of the lar9 fu2 a0gze f:a3 1t1 +.lvhvpel.d+ odmgsz;bger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased5htsc. :wj0sb to 2M and bsc 0.hts:wj53R, what happens to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an objec /*2p,6i9 se)ugcgmbbro zf2w t, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inerti:swu1 c/ig9 jba of a solid cylinder about its axis is given by 0.5 MR2. If this cyli1 / b9:ujsgwcinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheey5a-qye rlvij3,a 1 (ol of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to v5qyoe3ajyi r,la1- (the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls withoutue; x wpfv(0;cm afo53 o1n 8ljo,xz*c slipping down an inclined plane starting from rest. The linear velocity of the sph3pvowem*05f; x,1(c 8u c aozlxfo;jnere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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23#

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Suppose a solid sphere of mass M anp+)kt6qu( zsfnrnm+ 6d radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom k+() trqm6fsn6p+uz nof the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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24#

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"The total angular momentum of a system of particles changes whepoy5e0br44: lwe s-apfar 9)in a net external force acts on the system." This statementpa) 0 s4eb:wra9f 4i rye5lp-o is

A. always true.

B. never true.

C. sometimes true. It depends on the force's magnitude.

D. sometimes true. It depends on the force's point of application.

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25#

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In what circumstances can the angular velocity of su-c4bi a+ f9skystem of particles change witho4a+i9fub-cs kut any change in the system's angular momentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun in an eai(j )7w3 oeybeqcmpt;2n 2x1. lh b.jlliptical orbit. Ignore any friction which may be present. What happens over timeo) .x;tpni7q e(2jl y1wbbhjc.a23me to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

D. It increases during some parts of the orbit, and decreases during others.

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27#

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The Earth moves about the6s+c3uzoctqpg6 n6 k g1hcl07 Sun in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the E gt61 n oqzl636pc+7gcsk0 hucarth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by pul;5b- )nst ,cvbt6bb glling in his outstretched arms close to his body. What happens t svt)b,-5btb;b n6gc lo his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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29#

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An ice skater performs a pirouette (a fast spin) by pulling in his outsm;dh5 pgp; iezcdoe(,. qr (cg6j+xe8 tretched arms clomeqi(pzhe;p,ccg58x(g. roe+ d ;j 6 dse to his body. What happens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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30#

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An ice skater performs a pirouette (a fast spin) by pullin8ijzdhu7 e,ejl4tvrol+4: d7 g in his outstretched arms close to his body. What happens to his moment of inertia aboe7trui44: ,dh+z je7jol ld8vut the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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31#

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State the law of conservation of angular momentuvhi dxz5u)fru k5pwe 8/+1-ep*r xvu2m.

该题自我估分: (必填) (满分:1.0分)

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32#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What arc length does the Earth travel in a three month period in it9rfs 9r kke 93n 8ava-fhjs4s4s nearly circular orsa9f8fan 39jkr-4 k 4es9vshr bit about the Sun with a radius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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The second hand of a clf8j*hite/nmziza d5ca; k/ q1q lm:3-ock has a length of 0.30 m. What distance does the tip of the second hand sweep through in 3 mii eh:mz-kcif;q*tq/an d/ 5la m831zjnutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per mi j22olbuhut(tu m /x36f)qfr *4 f;vndnute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions io 9r 2 b78yx,dvfah;chg 9e3dcn 4.0 s. What is the frequency of the wheel's rot99g;a3crdd cvx7hf,hyo 8e2 b ation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0b lhbxwj6j4e34x,k l 0.40 kHz. The perij4xbjlhxl3wbk64 e0, od of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle does it r)7te n0d-)rfugi5 4 hru9)lxja o5phturn in 0.20 s?)jp h4)7tr d)5holu f0arun-xe9r i5g

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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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 the oute2,lny umpbvfmdb -i.(e ,4f j1r rim move in 2.1 s?ed4fy 1(bf,ubpn-, ijml.m 2v

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is thv /4eloqet1 ;he average angular spel;e1qvhte 4o/ed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What.we*q8yyc.5ltlib)zwe3kz8mz n z.( is the linear speed of a point 0.10 m from the center of cne8(eyb8.wqyi tzl zwzlz5 .)k3. m*the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort j 0 n/9k5tm-xgh9l)+hiappwj carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diametejpiwjp lhm)t0 k n+ -9g/5hax9r 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of radius 1.0 m is rotating with a consta3 0vv7.+dg ryrpewrl- nt angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel's e0vw ry3gr .lpr+ 7d-vrim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The cutting cord on a gas-powered weed cutter is 0.16 cy 450b r7s9n/ *c-id qk4j+chf6dp0sbjw qncm in length. If the motor rotates at the rate of 200- 7rsb d9cnfk4 ni4wb*j cqh ds6pc0+yc5q j/ rev/s, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of radius 1.0/v cp9 d d-93d3a7sbvmpkhg 8m m is rotating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration v3k7m3 9-db9cdspp/ 8g hmdavof a point on the wheel's rim?

A. $0.50 \; m/s^2$

B. $1.0 \; m/s^2$

C. $2.0 \; m/s^2$

D. $4.0 \; m/s^2$

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45#

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What is the centripetal acceleration of a pv9mv*z 340el s1j hmijoint on the perimeter of a bicycle wheel of dvsh19 lj 0imzj ve4*m3iameter 70.0 cm when the bike is moving 8.00 m/s?

A. $91.0 \; m/s^2$

B. $183 \; m/s^2$

C. $206 \; m/s^2$

D. $266 \; m/s^2$

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46#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How many revolutions per minute (rpm) must a circular, rotating spac,tfp:vrnm 7-ne station (r = 1000 t,m n f7p-rv:nm) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A car is negotiating a flat cirxgrx51ceow)byr,23, qccvk( i +1jl ocular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static wbr,xvl,ecxkjq+ co(5c21i3 yg 1 or) friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

A. $0.40 \; m/s^2$

B. $0.80 \; m/s^2$

C. $4.0 \; m/s^2$

D. $8.0 \; m/s^2$

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48#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A car is negotiating a flat cirxg/a3i qpzoika1v)69jv (qt 0cular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (prov0)otviipg q x(q19azaj6k/ 3 vided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

A. $0.50 \times 10^{3} \; kg$

B. $1.0 \times 10^{3} \; kg$

C. $1.5 \times 10^{3} \; kg$

D. $2.0 \times 10^{3} \; kg$

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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 st-i b/6 azm86kt40ca* nep ngywring, is whirled around in a smooth level table. If the maximnwmpne6a/cgik 84z- 6t ab* y0um tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipppc;/e :5 k8ekep/1oc,rlfqysing 10 m down as/ cpfor:pyl; /1 kq8ece5e,k lane at 4.3 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)

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51#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel accelerates with a const32v0jv8owixah ggy ;flo n613 ant angular 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?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel accelerates with a constant ),v1fxqx,ffon;;iz v qc). qbt-iy ) gangular 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?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How many radians does a 0.300-m radius automobile tire rotate after6vw 8c-c5nt ;cru *rwz starting from rest and acr wtc8vnz6-; ucw5cr*celerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel starts at rest, and has an angular acceleration o m/ctjc xu1)(pf $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A Ferris wheel rotating at 20 rad/sh 8)+ypmln vyk icb8:; decelerates with a constant angular acceleratioybmyi n8 p)+8c l;kh:vn of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel starts from vav1 k3w0d7k b;u;ik0*p iy ylrest and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of the wh3wd0; 0 1 7b lvvpyuykki;ika*eel?

A. $0.24 \; rad/s^2$

B. $1.4 \; rad/s^2$

C. $3.0 \; rad/s^2$

D. $9.0 \; rad/s^2$

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57#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.2z dc yqkft64r 8ef -i(zc20rc0 cm slows down uniformly from 8.40 m/s to rest over a dista8-teiz( 0f cdkqzcr4f2c 2ry6nce of 115 m. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/+yh6 zl-qtp-/qb8jp 3 nbsj 0sebc5/js to rest over a dist--y0bp6bj+hsj8 t lzs5 /bnp3eqjcq/ ance of 115 m. What is the angular acceleration?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slows down uniformly fror zaypr.1 .tg g mcd :n5lv*-nsb0;9zvbj6wl*m 8.40 m/s to rest over a distance of 115 m. How long does it takez0. wp bgr*6:.amv ztn9-*lvygcr;nbsdlj51 for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A centrifuge in a med;a0upt1 ,)gpmqx8uaj ical laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular ;agq10) jaxpmuu8t,p 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.    $s$

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61#

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The bolts on a car wheel require tightening to a torque of w6 2qc*rx0m)q lu 2exrs+ seh*90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force applied a)r**2 e r2sqe6clusq+hx 0xm wt $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel with moment of inerh4 mq*v c)b4mqr)7valtia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

A. $0.857 \; rad/s^2$

B. $1.17 \; rad/s^2$

C. $3.00 \; rad/s^2$

D. $3.50 \; rad/s^2$

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63#

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A triatomic molecule is modeled as follows: mass m ubao d(a) i.h /1e0tkois at the origin, mass 2m is at x = a, ani.u1 deb0ah tk(a oo)/d, mass 3m is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought q .2y rod1nzc8the center O. A rope wrapped around the outer radius R1 = 1.0 m, exe 2zord n8yc.q1rts 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 Fig. below) What is the angular acceleration of the cylinder?

A. $1.0 \; rad/s^2$

B. $0.60 \; rad/s^2$

C. $0.40 \; rad/s^2$

D. $0.80 \; rad/s^2$

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65#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid cylinder of mass 10 kg is pivoted about a frictionless 1n9,lo ox );zc4mup/ f vkzylbu(w.hw5kl4+aaxis 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 downwarkapyn14l kmo4 ,/l9wcf v( 5)u.lwbzhx;ozu+d. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 4.00-m long rod is hinged at one end. The rod is initially held in d,9 oxeyeqw24 5nw(sv the horizo5n yd,x2v4 ( e9qweswontal 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 rod about one end is ML2/3.)

A. $2.45 \; rad/s^2$

B. $3.68 \; rad/s^2$

C. $4.90 \; rad/s^2$

D. $6.75 \; rad/s^2$

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67#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Consider a bicycle wheel to be a ring of radius 30/jjm ;r/tr bi psw,o:co r0ux8t 76t;j cm and mass 1.5 kg. Neglect the mass of the axle and ss ipju/;:rtcrwx8o0 , 6;b t/jortj7 mprocket. 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 wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of m6vc6a-*q-mnax:hw i mass 7. a- :6mvha i-wxmnc6q*07 kg and radius 66.0 cm. What is the angular acceleration of the pulley?

A. $4.49 \; rad/s^2$

B. $7.98 \; rad/s^2$

C. $9.87 \; rad/s^2$

D. zero

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69#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 1.53-kg mass hangs on a rope wrapped-rp;m( xc9hoysk o- 5st(4 eje around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. Whatxee5-cpyhos smo4((9 k;rtj- is the acceleration of the mass?

A. $9.26 \; m/s^2$

B. $2.96 \; m/s^2$

C. $6.29 \; m/s^2$

D. zero

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70#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A rotating flywheel can be used to store energy. If it isu0)pc yy zu9 .chl9h)y required 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 $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of moment of iner 8y +gegq eg6aor)vr9i5s*,ocl6krx:tia of $5.00 \; kgm^{2}$ 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?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.0 kg and radius 0.010 m starts from 4zyze(4a/wt/mygx uo 9 3z3xg rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom ofgw ezx9y 4g/y / uat4m3x(3zoz the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.0 kg a 9mffhlu:q 9yo,/ ykt2nd radius 0.010 m rolls with a speed of 10 m/s. How high up an inclm/uof: 2 9tkf,y yq9lhined plane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A hoop of radius 0.50 m and a mass of 0.20 kg is released from rea/kdv u;)hgf8 5jtc1cq 3 gk4cst and allowed to roll down an inclined plane. How fast is it moving aftjf4cqa8 k5uk);gc /c dv3h1gter dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping pko9rx.zh* y4t .tg6k down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inr py t6k4.g*x9hozk t.ertia of a sphere is 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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An object's angular momentum c;qz/xyzyz:j /hanges by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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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?

A. $1.28 \times 10^{-21} \; kg \cdot m^{2}/s$

B. $1.76 \times 10^{-21} \; kg \cdot m^{2}/s$

C. $2.14 \times 10^{-21} \; kg \cdot m^{2}/s$

D. $3.20 \times 10^{-21} \; kg \cdot m^{2}/s$

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78#

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An ice skater has a moment of inerti2d*vcj/:6ugbbozvl 6 po9 3gm a 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?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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A figure skater rotating at 5.00 rad/s with arms extended h5xyh: p12 )b zvd,bl(jwh:v vcas a moment of inertia o)ywhx p52d:v 1chb(bvzj:v l ,f
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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