Physics Unit8: Rotational Motion

1#

Angular displacement is usually express in units hwhog;0w/w7z 1e6d ,oa9q2q vvl+x seof (1.0 分)

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressen*1isg 4 o ky* 4xvwnajh 4ewxo0(2s7jd in units of (1.0 分)

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 expresse ,l/b-av*.is4nvxg -kfv64mo :f u1wnehrl ; gd in units of (1.0 分)

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 wh8i/sj swn lqbb :1c(b,ich is turning at a constant rate. The boy is near thebqjnb,iwl 8:(1ss bc/ outer edge, and the girl is closer to the center. Who has the greater angular displacement? (1.0 分)

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 constuh 47)t a6b)v*hb:+yfpymca bant rate. The boy is near the outer edge, an)y a+b)4:c*t bhmf hab upy7v6d the girl is closer to the center. Who has the greater angular speed? (1.0 分)

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 on5/oh bh+yk ,ba a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is c +/ bbh5koh,ayloser to the center. Who has the greater linear speed? (1.0 分)

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 q.h g y:xh4fe(x10-rgpy gb iq/z6y f)which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has ./i1qp4hhy )e f0:qbrxf z6y g-gg( yxthe greater centripetal acceleration? (1.0 分)

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 t-a4vrz eho;h .czb0c1urning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who hasbzrch 4o.v e0;1h z-ca the greater tangential acceleration? (1.0 分)

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. Which of the following is an accu y9 4osi;pvrc0uq4 c)pfnn)j,rate statemvipj f 0q cp;)s9o)4cnr4,u nyent? (1.0 分)

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 slippin:xis:u 6mbcmpm7 te:dc9-6a ag depends on (1.0 分)

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. Thnyiu58fp7 yn )m9m:jv;1 dez j1)oowf) sgj*we first force is applied at the midpoint of the door; the second force is ap:d 1fjoz) 1m j5yng8uws o7*em9yfi));wjvnpplied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque? (1.0 分)

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 forc7a 48f5k +cpvgk1znx de is applied perpendicular to the door; the second force is 4xavpgkc+d18k7 5f zn applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque? (1.0 分)

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 doorknwqp5f3iz rq-6 ob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the firrqwip-q 63zf5 st to the torque of the second is (1.0 分)

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity uq5k* vjh 5lf9 kb,3pet/yls3psed to measure an object's resistance to changes in rotation? 5 ep*qll/ps,k39vy j53bfhkt (1.0 分)

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 diametgdr.pmbh/+65m hd.p ber, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia ibhm5p.+ r6.pgm/bd d hs (1.0 分)

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16#

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Two uniform solid spheres have the same mass, 5fnadm7hif 3 ;but one has twice the radius of the other. The ratio of the lan hi3ma5 d;f7frger sphere's moment of inertia to that of the smaller sphere is (1.0 分)

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass andb*o 14qa ar7qg qq+c,q twice the diameter of the other. The ratio of the larger moment of inertia to that of the sma,qqr1c7a+bq o qqg4a *ller moment of inertia is (1.0 分)

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18#

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A uniform solid sphere has masm;po* idt1)x4bngd 3 8vk*h nzs M and radius R. If these are increased to 2M and 3R, what happens to the sphere's moment of inertia about a c4ndi*pm 3 v 1*)z otbgn;8dhxkentral axis? (1.0 分)

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 l-*ovc .y zs*aan object, that object will (1.0 分)

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 ug5(f. g0x/okdj(wed r +l:mb;eya.w a solid cylinder about its axis is given by 0.5 MR2. If ty.+ j(d x lru.famw(/oedgeb:g; 0wk5his cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is (1.0 分)

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 iwd8at(j0 e+z mass of 10 kg and a rwdi0 zt( a8j+eadius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks. (1.0 分)

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 wittrqs1,gq,b2 b p yqc/.hout slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incli ,1y. /q tqspgbr2bcq,ne depends on (1.0 分)

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 sliht(zxk n 75fg:pping down an inclined plane starting from rest. The angular velz75x(gt:nhfk ocity of the sphere at the bottom of the incline depends on (1.0 分)

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 p+eyd+(n9yukl articles changes when a net external force acts on the sysul +(y endk9+ytem." This statement is (1.0 分)

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 velo k;12 j7j+t krems1zzncity of system of particles change without any change in the system's angular1km1kzz rjnt2je s7;+ momentum? (1.0 分)

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 ellipt9+ iem+ 21g7hemaj tww;(tmugical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular mom97 (eat2m i 1egj+w;tmgmhw u+entum about the Sun? (1.0 分)

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 the Sun in an elliptical orbit. As the i( 5uajoqlpxyt0u+bc )642ca Earth moves close to the Sun, then which of the following besu qx ao04+ au5(c6 plcitby2j)t describes the orbiting speed of the Earth about the Sun? (1.0 分)

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 s gtol mj00nrr 4rbd pq*(7v40tpin) by pulling in his outstretched arms close to his body. Whabrm pj 0lt(o40ntvrqr4*0 7gdt happens to his angular momentum about the axis of rotation? (1.0 分)

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 outzz xvmij r5g8-gskb j;/ 4l1v-stretched arms close to his body. What happens to his rotationa mjvg/5 -z-k ;lsij rg4vbxz18l kinetic energy about the axis of rotation? (1.0 分)

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 puler i/ke *hs,(3wxnk 1kling in his outstretched arms close to his body.(i k,e rhenwk1k*xs /3 What happens to his moment of inertia about the axis of rotation? (1.0 分)

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 momentumbcc06u;u kb /fh0nn *p. (1.0 分)

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 thrxftn3:j7w--/q9w dk6j* vn h voj5d suee month period in its nearly circular orbit about the Sun with a radius of wt nw: d/qhj* ojjf65sdxu3 n -vvk79-$1.5 \times 10^{11} \; m$? (1.0 分)

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 3ei6 w 81kkxlyt92hzyof 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes and 45 secondywi6yh l3 2 xezk1t98ks? (1.0 分)

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 pet6 /4ji ij ofka5mg/9fr minute equivalent to? (1.0 分)

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 re0y g5zodo b; /pdkv(5avolutions in 4.0 s. What is the frequency of the whbyz/ 5po;gk50(doa dveel's rotation? (1.0 分)

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 atb h hei+mz7udkp9: 45bi,jdq 7 a frequency of 0.40 kHz. The period of its rotdh7jmbp b: d+7ez 4,iiku9qh 5ation is (1.0 分)

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 turn in 0.2f.jnkly;:(hrna a 4t(qkm,(j 0 akl;, a kjhr(fj( .y:mt nq(4ns? (1.0 分)

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on th9 lrhrlg //d1ae outer riml gr /ha9/rld1 move in 2.1 s? (1.0 分)

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.n :j +t-cz3e2sfr2:6/w dmzwvuzz fe:s59mzg 0 revolutions in 4.0 s. What is the average angular speed of t2ezwcr m j3+6z:dftz m2fg9:- z:5zve ws /sunhe wheel? (1.0 分)

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 throwpk 3l is.wja7y6 kpf;-,foay 5am e(9ugh 2.0 revolutions in 4.0 s. What is the linear sp fapj;9k 6 w 3wayiefo-mys5l(p,ak. 7eed of a point 0.10 m from the center of the wheel? (1.0 分)

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 carrf kf lei4+,m6fbf.i;ries 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 th ,;+li46bk.f iffremfe cable car to make the trip in 12 minutes? (1.0 分)

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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A wheel of radius 1.0 m is roin8j p80 f *.h q7vtwbs9:vtuqtating with a constant angular speed of 2.0 rad/s. What is the l8h0w bq8itv97uq. fv*njs pt: inear speed of a point on the wheel's rim? (1.0 分)

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#

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The cutting cord on a gas-powered weed cutter is 0.16 m in length. . nkbsktzg)6/ If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the ekbg .sktz )n6/nd of the cord? (1.0 分)

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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A wheel of radius 1.0 m is r*sc-t cuk g:e j5lik;c-8w+ofotating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheel's ke:wgccl58 -tso *c;+jk-fui rim? (1.0 分)

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* 2 ma**f e)oayuzifz6 point on the perimeter of a bicycle wheel of diameter 70.2f)* 6z af u*yzamio*e0 cm when the bike is moving 8.00 m/s? (1.0 分)

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#

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How many revolutions per minute (rpm) musi;5rtlzlw7 ,+, clai gt a circular, rotating space station (r = 1000 m) rolr,,;liw7cit5z+la g tate to produce an artificial gravity of $9.80 \; m/s^2$? (1.0 分)

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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A car is negotiatingpkz voy x*q.3j.wl*xn+wa d ; s6m;r;p a flat circular curve of radius 50 m with a speed of 20 m/s.l;smrpxz+j* *x;ka..w6ody3p n w;vq The maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car? (1.0 分)

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#

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A car is negotiating a flat circular curve of radius 50 m with clic9,j4s- :17 wjhoia.6k qamw;ml ra speed of 20 m/s. Thc;k , 7moam1qii:ljj46wsr-.lch9w ae maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car? (1.0 分)

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#

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A 0.300-kg mass, attached to the end of a 0.750-m string, is whiqr;uo (2:gvwd rled around in a smooth level table. If the maximum tension thogr ;:(2qu vdwat the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break? (1.0 分)

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#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without stwwtv ile2b 0,pt/30 qlipping 10 m down a letwtbq0it lp,/ 32wv 0ane 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) (1.0 分)

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51#

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A wheel accelerates with a constant angular acc * ih1),9 zr hstt8nngfe5qql(eleration 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? (1.0 分)

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

单选题搜藏此题

A wheel accelerates with a constant angul1yb 0jeic(;bx ar 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? (1.0 分)

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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How many radians does a 0.300-m radius automobile p:t:h 7tze 9rto -bziet 1dt(yvn1*+wtire rotate after starting from rest and accelerating at a constant itbt(+ pdeztwrn tyet9:z :1o-v h 17*angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval? (1.0 分)

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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A wheel starts at resj+46m yyos wk;l:sj.vbjypi w y)s.:3t, and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s? (1.0 分)

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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A Ferris wheel rotatzoqa x12t:x c-ing at 20 rad/s decelerates with a constant angular acceleration of t-zq x:2xaco1 $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest? (1.0 分)

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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A wheel starts from rest and reaches an angular speed of 6.0 rad/s wz-vtoq h5he4,3 mb;tlhile turning through 2.0 revolutioq5e,-4l 3zt; hvbmht ons. What is the average angular acceleration of the wheel? (1.0 分)

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#

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A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest g.mv76d vgr m5g1 pb+u:o04s yrr8imk over a distance of 115 m. What is the total number of revolutions the wheel rotat gkgrr8ym+ dp: m.m7ugib0 v 465so1rves in coming to rest? (1.0 分)

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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A wheel of diameter of 63so p 9sudz5d+wnq( f38.0 cm slows down uniformly from 8.40 m/s to rest over a distance 9 wf q+ donzp5s(3dsu3of 115 m. What is the angular acceleration? (1.0 分)

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#

单选题搜藏此题

A wheel of diameter of 68.0 cm swx njckl gc.26.iz/r .lows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it 2 lxn.k wgz/ic6.j.rc take for the wheel to come to the stop? (1.0 分)

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

填空题搜藏此题

A centrifuge in a medajj36ka6x7ns wlc 2 r5ical laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration befor 6l76jxsn35aja kw cr2e 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. $s$ (1.0 分)

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61#

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The bolts on a car wheel 4wd7l5 ,3jkznqye t4t require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of thwyj5t zn434kle,dtq 7 e force required when the force applied at $53^{\circ}$ to the wrench? (1.0 分)

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

单选题搜藏此题

A wheel with moment of inere kt9egi3b; 4/.uau(-tqx qbitia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience? (1.0 分)

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 is at the origin, mass 2m 4mo vq;e v/erdx5-.79lx db(ootfsk+is at x = a, and, mass 5+ m-k94.ovsdob;qvxo /txe7(lfd re3m is at x = 2a. What is the moment of inertia about the origin? (1.0 分)

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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A solid cylinder of mass 10 kg is pivoted about a frictionrukwf/q0*mb8cm 6d yt h+gt(/ less 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 Fig. below) Whatcgwbk hu+d/ 60(fmyt8q*/rmt is the angular acceleration of the cylinder?

(1.0 分)

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#

单选题搜藏此题

A solid cylinder of mass 10 kg is pivoted about a frictionless axis though j+/m2p5g( 6((y sbx no--jxekilrmf vt 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 rad6/-jmnf ep+ xsm lbk(((2xr5 vi-ygj oians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest? (1.0 分)

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

单选题搜藏此题

A 4.00-m long rod is hinged at one end. The rod is in u2(d,pgvqwr12 9x9swgolg8m itially 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 rod about one end is ML2/3.q1 udvgs2wgm2g(8 l o,9x pw9r) (1.0 分)

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#

单选题搜藏此题

Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kg. Negl 4lx1wmgg 4 8-n/6yyfdqdtd;iect 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 wheel achieve, assuming it rollsdl wgyiy/m1q-8d;64nx t 4dgf without slipping? (1.0 分)

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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A 1.53-kg mass hangs on a rope) /m.un7 ubnp;v:xgjch2fxe - wrapped around a frictionless disk pulley of mass7:u-/mu nnjxp v g2.; hxfbec) 7.07 kg and radius 66.0 cm. What is the angular acceleration of the pulley? (1.0 分)

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#

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A 1.53-kg mass hangs on a ropwr8 * gk1h*m)n6ptzgse wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. Wh gkr18 ht*mz) *nsg6pwat is the acceleration of the mass? (1.0 分)

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#

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A rotating flywheel can be used to store energy. If it is r rv3d.xt,1:qc+;op e bm004tssqphsrequired 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 $kgm^{2}$? (1.0 分)

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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A wheel of moment of inert .tgl w6z.smif )f95)wf3kwdk0s4rtkia 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? (1.0 分)

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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A solid sphere of mass 1.0 kg and radius 0.010 hvd h vvr 84vjawum8q;, ;:/r y4hpfx)m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of th;q,vvxp:hhdvyw um44 h ) /afrvj88r;e sphere when it reaches the bottom of the inclined plane? (1.0 分)

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#

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A solid sphere of mass 1.0 kg and radius 0.010 m rolls wi,okyk,-dt zyj a+9: avth a speed of 10 m/s. How high up an inclined plane can it climb before comia9 z t-o kyaj,y:,+kvdng to rest? (1.0 分)

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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A hoop of radius 0.50 m and a mas+aexb6j5w-ny2:lunff yd 0+dj5 php8s of 0.20 kg is released from rest and allowed to roll down jf h wnpb lj:x-y0+ e2f+5 d5n6dp8ayuan inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m? (1.0 分)

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#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping z3pnskntz)lf-5 q(x* down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is give *l-z(fntnsz)p5kxq3 n 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? (1.0 分)

该题自我估分: (必填) (满分:1.0分)

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76#

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An object's angular momentum ch5 iyll9qeb 37168mwwhlrekl -anges by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object? (1.0 分)

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? (1.0 分)

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 m yc9,yu75u hiboment of 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? (1.0 分)

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

单选题搜藏此题

A figure skater rotatoabl7wp9k(:h ow 0u. qing at 5.00 rad/s with arms extended has a moment of inerti.9k w7hop:lubq aw0( oa 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? (1.0 分)

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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