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

1#

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Angular displacement is usu5) xfj dr:b czg3whp+7g23xyc ally express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in uni dj77r2o1yn;t:i 2u llccq-x nts 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 expressed in units2 nk ld 3hqu.7ufvos/0 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-rounvna* qezfsu4:3) o l6vtw.h:o d which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. s h nvulq o:*z6:f.3tva4o)ew 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 i.ekzz*s1/( dk)rb ziwhich is turning at a constant rate. The boy is near the outer edge, and the girl is closer to zrsk/ *b .( )zedzkii1the 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 constant r9c s1 0nnhalx8ate. 0nx1hl a89csnThe boy is near 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 whic1df*0k2b . /yc 7sqkgggva0eth is turning at a constant rate. The boy is near the outer edge, while the girl is closerg.ag1 csted g70/2b0y k qvf*k to the center. Who has the greater 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 a merry-go-round which is turning at a constanwuvras9 rw+ 4;t rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tang; rwusvwa9r+ 4ential 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. Which of the following is an accurj) :p9(9ly(yzft6 ekdh hwcx3ate sta p3khjd(lt6efyh(zw9yx ) 9 c:tement?

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 dependz1e4jo;kf31 k+ozd y1 lz;pxd s 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 first fn9qke bjm 4j; 6m/c6+fiiew4r orce is applied at the midpoint 6;ife94j6w +4jernb /mkm ci qof the door; the second force is applied at the doorknob. Both 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 door at the doorknob. The first forciy mp 9-zzm/zp.71k wce is applied perpendicular to the door; the second force / ym9i.7wzpk1z-c pmzis 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 4 l, *zf4zl/xhv)rxqq a doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque o qx4,*lfv4/ qxzhl)r zf 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 :ki5h96drj/ l olrua3used to measure an object's resistance to changes in rotati 63ah/iour5lkd:9 rj lon?

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 q b1a jz fdt,rm .00de9:qpcl-mb el)8where both have the same diameter, but one has twice the mass of the otherp,c8q l ar.:)e0mq-fd e1j 90dbb ltzm. The ratio of the larger moment of inertia to 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 has twice the radius of t(. uxpb;x d)inhe other. The ratio of the larger sphere's moment of inertia to that oxpib( xu n;).df 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 sbk*/w6y wop:jpheres where one has twice the mass and twice the diameter of the other. kp/6yb * :wwoj 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 ml mty,7ym8t pelu8 y61ass M and radius R. If these are increased to 2M and 3R, what happens to the sphere8y ty 6 ,euptl7y1mm8l'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 ai :* ndyzctzfxz,lr i7/5f0/pn object, 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 inertia of a solid cylinder about its axis is gifmw1b qi8 4)r8-v1c u+mugyiaven by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetiic8mmr f-yg1 )1v 4uaqbw8u+ic 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)slnp +j u/wu9q/k(9 vslbg4b, one wheel 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 the total translational kp / g)sblqs4j9w k n(+buvu9l/inetic 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 rol+ptd+qt +/ysbls without slipping down an inclid+ t/pyts++bqned plane starting from rest. The linear 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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23#

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Suppose a solid sphere of mass M and radius R rolls without slipping :o6ppg+rhe q* *3j,zrw0x cpn down an inclined plane starting frrp z6: c3jo**pw+x n ep0rh,qgom 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 system of particles changes when a net exter-l fyn y+p (ruy3(dqt)nal force acts on the system." This statet(f r-u3ly)nd yq+y p(ment 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 syy6 .cvx;o ne(dstem of particles change without any change in the system's angul;. oyed xv6c(nar 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 which may ig (ng7rjgonk5p 9.1p2ap2zjbe present. What happens over time to the Earth's angular momentujr2 2n zg(7gg.jn aippopk519m 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 the S)g ) uhxy29euhun in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth about theg 29))y huxuhe 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 pirouetteozslbol7f23 0 4e.ekj:m*yi x (a fast spin) by pulling in his outstretched arms close to his body. b4x3zoem:0ksil f 7*loj.e 2y What happens to 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 out/*idfq .vm2xi stretched arms close to his body. What happens to his rotational kinetic energy about the ax i*./qf2vid xmis 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 pulling in his outstretchedkhzrr1 +z/ k)c mi-1ch arms close to his body. Wh/rkz+-rc1ck hih1z)m at happens to his moment 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 conservation of angp28w:w/h mftr ular 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 Eart:f q*untrkfv j -d83u.h travel in a three month period in its nearly circular orbit about the Sun with a radius ofq3 uturf.jk *nv:d- 8f $1.5 \times 10^{11} \; m$?

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 ofhm 06u o)ow*qk,pelr8 0.30 m. What distance does the tip of the second haol ) hmp0oe ,kwuq6r8*nd sweep through 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 revoluu2 )foq5dqi kdv 640ar* 3wnp;zi ua1otions per minute 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 in 4.0 s.ww017k dqce u, What is the frequency of the wheelwducqk71w 0e, '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 dd v:ki9++il* vr4*ot ; mg4n*vllkpsneutron star) emits pulses at a frequency of 0.40 kHz. The period of its ro*d+ ki4s:r;t + ll*vopd9gnilv4m kv *tation 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 dfbzu /e+kh2 x9oes it turn in 0.20 hxk/u9 +be2 zfs?

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 ogx* o ms6;ln2a point on the outer rim mov;l2n so6 om*xge in 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 uniforml9yx 3z)rijyi7y through 2.0 revolutions in 4.0 s. What is the i zyx3 r9yi7)javerage 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 2c f 3b e384zkbtnb+3ok.0 revolutions in 4.0 s. What is the li4e 83tnkob zb+c3k 3fbnear speed of a 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 d m 4sxdo-:xpkc;(gf;h vttx.8istance 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 in 1s mh-(k4;x;8xp o fxc :dgtvt.2 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 angular speed of 6qx86 czm34 wl x6nrpd2.0 rad/s. What is the linear speed o3x6m6r4np6czxq l8w df 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 a gas-powered weed cutter is 0.16 m in length. d gik)o brapaivgwq0 )+5b+; 4If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end of the codgqbvg4i poa50+b)kw+i ar );rd?

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 rotating with a constant angular speed of 2.0 rlamu p fr*-.9nad/s. What is the centripetal a*ua-l .pfrn9 mcceleration 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 perimeter of a bicycle dp7mw,gf fx() wheel of diameter 70.0 cm when the bike is moving 8.00 f ),px7wgm(fd 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#

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How many revolutions per minute (rpm) must a circulgwj7nhdw.u,ih8 q: tu4ez i43ar, rotating space station (r = 13 whu:jt7wg8,4 qizudneih4 .000 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 circular curve /).mzs ydp4ub of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static zu .d)/bmsy4p 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 circular curve of radius 50 m l -8w ewucap34with a speed of 20 m/s. The maximum centripetal f4w -ap8clw3 ueorce (provided 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 sk/6mt:9/iy0t7bhf5/h c /7bk we fxmmn -hewof a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand y7e5/k hh0xbfc/e k/fth 6 :-9tbws/mw7mmi nis 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 witvt n 01 hh-+l8y6ki dsfd(3 dwzfd87lrhout slipping 10 m down a lane at 7hnf 8ztsv083 +hdlwi-kdddl(yf r 16 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 tk,xt ui7j j68constant 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 angular r8:; vecgi tmd-x92ni 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 ajrce+ :sga8 -rypk1gm1 t9t w,fter starting from rest and accelerating at a constant angular acceleraw jsgry1tt9 p:egcra+ 81km,- tion 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 hazy qti95nccpw+a+d 4. s 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 at 20 rad/s dece tug9d+8p84ga*bdkg t lerates with a constant angular acceleration ofg9g+k8ud8 4d ap*gttb $-5.0 \; rad/s^2$. 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 angular speed of 6.0 rad/s while (wxva 5go06nrturning through 2.0 revolutions. What is the averagewv anx5gr0( o6 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 cm slows down uniformlm p5 vlr0 76i-gp4kzzbbfk l7d4x4y6hy from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions tpvpf7-db6k0 6zl4m hbx z7kyr4 gl45ihe 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 o -741iug(hng vor 08aagmb xcnn )d;q-f 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. Whatqoa xdag(uhn 4 mn1;gi8 bn)vr70g-c- 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 from 8.40 m/s to rest ofnpad z tn6282ver a distance of 115 m. How long does it take for the wheea z 2tpd6f82nnl 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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Mark Problem

60#

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

A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rev/ml sp.vuy+ m hj,7y.u*oin. When switched off, it rotates 50.0 times at a constant angular acceleration l, vs.+ho .j7upuym*y 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#

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

The bolts on a car wheel require tightening to a torque of 9+6o exexqu ,47qxc nl30 Nm. If a 30 cm long wrench is used, what is the mag4,c7+qxq36x eulone xnitude of the force required when the force applied at $53^{\circ}$ 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 ines (t/uu11 didcrtia $3.00 kgm^{2}$ 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 is9tv uf.qmvf(m;*cg v ) modeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x =tmu*q)(g m 9f cvvf;.v 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 k4 k+l 4epf1ro ysfmh11g is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = lm 14pf+1ykosr1e fh41.0 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) 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 */8je wgo/nqh kg is 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 seqong/j 8/w* hecond rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 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 ) 8q.lhv9on 0d)awjxiend. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment ofl0xvaw.n oihd)9j 8q ) 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 cm and mass 1.5 q)9ro0k tq/wgkg. Neglect the mass of the axle and sprocket. If 9o)r g/q wtq0ka 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 mtrnu ntr45 )np27w vy2ass 7.07 kg and rav) t52 p tn7ry4nrwnu2dius 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 o,: ::/s1nop-lm sw,siu ismgzn a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radiusi:s msu,s 1-wo ps i:glmn/,:z 66.0 cm. What 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 is requi)+ogo1sfv+mym46x ouv qdp)5( bker4red 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 inertiap.3z 9vtuad0pq4p p +t 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 rest and rolls with5yr 2wx6syz.hf7 cqy61t zz3 vout slippinvzw3zt2 hsyq167 f .r5yyz6xcg down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of 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 e/mj+9)vkfp f(br sp;and radius 0.010 m rolls with a speed of 10 m/s. How high up an (/v9;bp f kmjps)er f+inclined 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 rest and v 1g i(5m 25ksphbk3ois79wu ballowed to roll down an inclined plane. How fast is it moving 5i(3gph2 w7buv 5kb9sims1ok 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 j l8 lccjh.u)w)fw9t4.5 kg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from res8w9)hj4fc)j.c lu twlt. The moment 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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Mark Problem

76#

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An object's angular mox-z50(8kb k p kp 5,.yz fsuk;uv:msxzmentum 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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Mark Problem

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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Mark Problem

78#

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An ice skater has a moment of inertia odir n3v3kn31kmgqc 8v l kt4v. r+l*y+p ;oin8f $5.0 \; kgm^{2}$ 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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Mark Problem

79#

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

A figure skater rotating at 5.00 rad/s with arms extended has a momen.et9yda0n)t 9kj 8z+v k mge3bt of inertia z8 et0v9 y.gtkb+ jnmae3)k9dof
$2.25 \; kgm^{2}$. 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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