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

1#

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Angular displacement is usually express in unit3nv ya 1k(o.hys of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expresse17yhhp(0ew 4x g1+fb;xn vjbed 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 exprm:o g8 ww9kd:ak2) ub a;ce4oressed 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-round which is turni3s6);gczqf i,pi f4eupr*vw * ng at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who wufg zvppf*ri*,e4 6sc ;q3 i)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 which is turning at a constaobf62:fheex;oqffq1 n0 y/f2nt rate. The boy is near the outer edge, and the girl is closer to thf/ on2qyfe 0;2qffbo:6e1f xh e 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-r0rbn6t2k( )pxzt 2bc2ey6ydeound which is turning at a constant rate. The boy is nearecn2t tyz2bx0p ed 6by62(k )r the outer edge, and the girl 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 consta+n31qiwkvc; j;*l7 6 xfruj uint rate. The boy is near the outer edge, while the girl is closer to the center. Who has the gu fix*3kiu7v6n;;1l+wr q cjjreater centripetal acceleration?

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 qmehg,* 2 k,cpblwt*, a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is ck ,qwgtec, 2m,phlb* *loser to the center. Who has the greater tangential acceleration?

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. Wh4fmx 2hem, x5q 25lyaxich of the following is an accurate statefmxxm522axeq4 l ,hy5ment?

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 slippk *-mj *qy* c hj3y54qfuwx:zybza17ping depends on

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 firsv36gke.lf hv+p cl 9m6t 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 force exerts tfk .+he3 6p9vv6lmlgche 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 door at the doorknob. The first force isxhg 2g3.jon )z applied perpendicular to the door; the second fg3.2 nxhjg) ozorce is applied 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, perp+ik9hd a.3dzibmbx 1 ,endicular to the door. The first force is twiceb,3xdd1a9h+mkbi i .z as large as the second force. The ratio of the torque 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#

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What is the quantity used to measure an object's resistance to iq9pd,d0 r2j nchanges in rotatio d,qn d0i92jrpn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameter, but *1;5ytasndvf/g +b ouone has twice the mass of the other. The ratio of the larger moment of inertia to that of tf+ gd vust*ab; n15/yohe smaller moment of inertia is

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16#

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Two uniform solid spheres have the soqfsf b 5g 9xg8m5-tu4wjjl29ame mass, but one has twice the radius of the other. The ratio of the larger sphere -jf9 ogl q5jw2f98mgt45sb ux'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 sph*g-r8:n,o9rrz dg bhberes where one has twice the mass and twice the diameter r8d o:ng- *bh zrgbr9,of the other. The ratio of the larger 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 increased to 2M pzjizdf2ot u 5g*g*:, and 3R, what happens to the sphere's moment of inertia about a cg:z2zpu tidf*g*5,j o entral 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 object, thata /p/lr ,t1mwg 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 inertia of a solid cylinder about its axis is given by 0)n 0:svyg4ve0ztdl r9 .5 MR2. If this cylinder rolls without slipping, the ratio nsve0vr y49t)dg l0:z 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 wheel of which has a mc+ 3y:/nh8 etzvtdft866x r qvass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the tct+ qhz v/3ex:8t6 tv6fdyn r8otal 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 z jo)0ea 2hh:hof mass M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the inclineeohh)z:0j2 ah 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 and radius R rolls without slipping down b))hm w l-zu7kan inclined plane st 7ub mh)-lkzw)arting from rest. The angular velocity of the sphere 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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24#

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"The total angular momentum of a sy0bkf5j3je(pg i. xb1istem of particles changes when a net external force acts on the sy0gxb3je kj1.i f5bpi( stem." This statement 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 system ozwwl :y:h 7ov:f particles change without any change in the system'sw v:7:ylow: hz 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 elliptical orbit. Ignore any friction whichij1ojm (tjl4- may be present. What happens over time to the Ea4 jjom1- (jiltrth'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 aboutvdlfg z5,.vtkfvk 70c p6+6 vf the Sun in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes thevvt vfk65,dfc lv+7kpf 0g.z6 orbiting speed of the Earth 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 pulling in his outstre8u5hcn tf-t1,l zx -ietched arms close to his body. What happens to his angular momentum about the axis of8 c1-5ife-t z,xhtnl u 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 7iw2fjmtgg1t sd( +s8 gv +ze.in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of sge isd+ w+gv(8j 2f1tgtmz7.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#

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

An ice skater performs b0fhkfq8 6 bx-:f6cgra(* bpv a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moa66-f fc0bk f(p rbhgbq8v*: xment of inertia 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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31#

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

State the law of conservatioj0v:*ppc mog yg7qi lpuo2(j-:xfx:9n of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period tkk(*:l4x ts fin its nearly circular orbit about the Sun with aslkk4 ttf( :*x 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 clock has a length of 0.30 m. What distanceuj5 vsf09qj7e does the tip of the second hand sweep thrv sj9f70 uejq5ough in 3 minutes 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 minute eqa x5fdn cf+zigw7j)4; uivalent 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 uniformlyecu9z56*6 gywky 1 gzl through 2.0 revolutions in 4.0 s. What is the frg91zywkz 6gly u5 *c6eequency of the wheel's rotation?

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 w6l/0 r68xmzedt1 kfxa frequency of 0.40 kHz. The /e1x 6md80l6zwxkf rtperiod of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rotates at 45 rpm. Through what)xw2xbkn09s fb38uuz angle does it turn in 0.20 s?3uxb2x 0wfnbs9 )8kzu

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+h. ot4 u4yzao turns at 1500 rpm. How far will a point on the outer rim move ohotyu. +za 44in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 sifjc:1 0r ll arix0l *kc:ty qw/*k8y8. What is the averay *i l 8x al:wk0*ltqrf8jyc i0c1/kr:ge angular speed 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#

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

A bicycle wheel rotates uniformly through 2.0 revolutiolxv bh;x9c2)zhb92o /n+st oqns in 4.0 s. What is the linear speed of abh)ocxtnb;2 zol v +9h9xq /s2 point 0.10 m from the center of 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#

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

A cable car at a ski resort carries skiers a diia. )yktwgv7 f2q-9j2vu rx*frlwa.zbt x .14 stance 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 wwkfa17- t g. 92z*qbxri t)ajux..f4yrv2l v 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 constant -;p ou742 f nisv upfqb;f+el/angular speed of 2.0 rad/s. What is the linear olp+f nfes ;7u;/ipu f4qb2-vspeed of a point on the wheel's rim?

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 4-j;u pzxma5w a gas-powered weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the a5u4z-j x;mp awpproximate 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 m is rotat.eyh .7rr 2j k1vt.voqing with a constant angular speed of 2.0 rad/s. What is tje ryq2tvv.hk.71.or he centripetal acceleration of 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#

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

What is the centripetal acceleration of a point on the peri(z 4gc0js7ie pwytyx(.2 ( yahmeter of a bicycle wheel of diameter 70.0 cm whenges7 z 0t(xa cw2p(ihy4( .jyy 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, rotaeq y*6fead3m1 ting space station (r 1d qey f63*mae= 1000 m) 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 cih wqk tn+.jo:6rcular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static frictio o6 w+tq.hkj:nn) 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 circular d1i85sicpyd3 curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provid53sdcdyi 81iped 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 string, is whirled arou3wp-iwbcja3d e4-x)q nd in a smooth level tab4)dxpa-i cj3-ww3 qb ele. If the maximum 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 masfhux:cp pju.u*pa5-:b5 e +xk s 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 -p b: 5h *puc.5 xjfkx:+uaepum/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 constant angular acgo n/j;iw8p)z;aq grk.4*csg celeration 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 angular ac 47 n3oufzaut7h/w2xqceleration 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 automobi7 p k hx /xsvluo8v6ea352xod;le tire rotate after starting from rest and aco6/sx v de7hx2k ua;px lov853celerating 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, an1(vo 6v gxbjkzkkp)q(mr9c .4 d has an angular acceleration of $4 \; rad/s^2$. 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 b*pf-kbf(9*y8njp )rm ( feicat 20 rad/s decelerates with a constant angular acceleratiepf9-y bnffi(b(*k) *cr 8pjm on 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 rest and reaches an ang*luq)ent l3t ;o/p;b qular speed of 6.0 rad/s while turning through 2.0 revolutions.pq;l *btq )ntu ;/o3el What is the average angular acceleration of the wheel?

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 68.0 ckr; 9f p*/9le ijb9hchm slows down uniformly from 8.40 m/s to rest over a distance hr9p;9kc/l9j*f e ihb 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 uniform; .mambr7o.jvb l h49sly from 8.40 m/s to rest over a distance of 115 m. What is the angular accele.9mh 7;ms .lrabbjv4 oration?

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 doq uxd80lhq 6a7wn uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to the0 6xlqhd8ua7 q 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 medicalo d*d8t*ya ;juhnotmwb vqqz;7*9;5 w laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before comi*dqd boym*wah vtno;7;;qtjw* z u895ng 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#

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

The bolts on a car wheel require tig i9sdcr+p*b )xbikko2 j.( )ishtening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force applied aos* b)9pii (.+b 2k)xdkir sjct $53^{\circ}$ 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 ine l azry1yr2 3kcgvuix:5qxo9(hpw1*5rtia $3.00 kgm^{2}$ 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#

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

A triatomic molecule is mo ;fpsfb4 09nvjphj48uhh() kpdeled 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 of inerti40bvspfjfhkp jpu 4h9; h8 n()a 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 tns,)-wy.) m lgaummss-w9 .iqhe 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 wril q.9.ywws-)g,sm mna mus)-apped 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 isy+b2wx+f y2w+ vz;d ir pivoted about a 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 sectiondw+yr+i 22x f wv+;ybz 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 5.0 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 .: l pl9ujn*3z gq -xr4w0it3iwp,weqin 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 rod about one end is ML2/3.)l0* quxjq:wlnp iz.w4, r-t33wei9p g

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 cm andb j)qq:z xbpp7.94e 55jvljj x 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 sqbv5 zj9xl.p7xqj jb:45p) jepeed 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 pulli0,z fevey1.ley of mass 7.07 kg and radius 66.0 cm. What is the angular aclvy.1e i,fez0 celeration 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 around 3 : ( zdxwpt, y8v8rem-2oyrwda frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the accel-(wdvyo xr, 3t:82mre w 8dyzperation 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 storep*z3lir(i , mj ;fni+y energy. If it is 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 inert y0dkguy5x0.r ia 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 radd, q5- qeu)c0w ygt+hxius 0.010 m starts from 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 of the inclined plancx )w5dyqehgu 0-q +t,e?

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 massfcnhj 4t9i/l x/*;k sg 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can49sn c/ ;gxjf/ik* lth 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 m kfiaiz.+g9 n)ass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving9+ zakfg)nii. after 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 4 lu80(mnhhi/)1lw pupuuei9 radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The mlhp8i1/) u04 we (9uhiu pumnloment of inertia 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?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular momentumt+ig/; i9+xabgd: 6ex8jvuf x changes 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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77#

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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 n+jxfg/+eff nmd h 62-inertia 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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79#

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A figure skater rotating atw vk* hbrgajm,6hc6 :7 7dcd2o 5.00 rad/s with arms extended has a moment of inertia 67wvcd:7kjbhh mgo2*r6adc, of
$2.25 \; kgm^{2}$. 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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