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

1#

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Angular displacement i8xv/8 x89 abdk:retx es usually 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 un 8a1:bd(nsosv its 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 acceleration9 kzcl x) 8rcop: ugnj0ap;1ng7k 22gq is expressed 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 ridindr,.0:j srghqhs l3 +ng on a merry-go-round which is turning at a constant rate. The bhdh gr+sl0jq3. rsn:, oy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go1nonoe . w7je2.1l .zxh1uiia -round which is turning at a constant rate. The boy is near the outer edge, and the girl is clozxewo .1a7nn.1iioj1u 2. l ehser to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which np93l -er,a ma3x- ltzis turning at a constant rate. The boy is near the outer edge, and ztm-3,ap9llx na re3-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 which96crvoh8k )ig wfah w:tog4h-/y7jx 1 is turning at a constant rate. gj/hoif1wh9ro)c47 v8yaht xw6:g-k The boy is near the outer edge, while the girl is closer 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 wh 7 z3g.fh,bteyich is turning at a constant rate. ftg.,73hby ez The boy is near the outer edge, while the girl is closer 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 rotatinxe5yqt claa28p9i9 .cg. Which of the following is an accurate statxcipcy a98295qlae . 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 depep -:lsqt8 ;z4 e6*qpjiv.r tecnds 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 force is16o aqx8 rzjhg;t.dt3 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 the 1 .otj;qxga6r3 t8hzd 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 d *s**/rctskdsoor at the doorknob. The first force is applied perpendicular to the door; the secon*tsdc* /r* sksd force 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, perpendicular to the,gnb e4.ny4wi door. The first force is twice as 4ye.igbw n ,n4large 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 measycv 18avj*ge +ure an object's resistance to changes in rotationv c+ ev1j*a8yg?

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 diammb 1 .m.n)fmeaeter, but one has twice the mass of the other. The ratio of the larger moment of inerti nmm e1b)f.m.aa 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 twic6mgrfo b/ p/ -g 7iqv*zs-cu;ie the radius of the other. The ratio of the larger sphere'vqg*fm7/-;b /i-ropc z is6ug 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 spheres where one has twicel,hih.*fsxzd u n92b/ the mass and twice the diameter of/sh,b9 lhu.*xi2dzn f 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 m xksrcpyi0h8:d(5 p9kass M and radius R. If these are increased to 2M and 3R, what happens to the sph0(sih8x5p kkc:9 ydprere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, jp xa;khk)20-q *0 vvuj ps2ji 57vwnxthat 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 ax3 k9x8iij0fae is is given by 0.5 MR2. If theika x9 0j8fi3is cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mass of**mdzho q),8zqr +ui35 +laeyy gp i*d 10 kg and a radius 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 disk**y+ayeq qi)*zz5d ,gi8 l o3uh+ mprds.

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 rollm g q 5*eeq(qmt3lsks3k-1 oc-s without slipping down an inclined plane starting from rest. -slg5qc *(qee m- sot3m 1kq3k 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 roll sxv( 2acqaier19p. p.s without slipping down an inclined pl(sp9 1a crav 2.xqpie.ane starting 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 system of pd(lz(c1htg mk/w-a w(articles changes when a net external force acts on th(kdwa / wzcl-h( 1(mgte system." 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 awir6afnmd qqu.n3 0. b-h,9ahn xq*l+ ngular velocity of system of particles change without any change in the system's angular m,6w3..f9hx+*n 0qau- mid qnba nlhqromentum?

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 anyf;qa qa n/qbzl9-h.wkz)*p 2 y friction which may be present. What happens over time to the Earth's az. qlfhaznq /2*)q k-yp9wa;bngular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in 1b:c8)pk:wm g;k qsfnan elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting q1f:k :n)scm8kgwbp; 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 outs* (wdt;hf-hd e/angd /tretched arms close to his body*fehd/w -hdnd a;t(g/. 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 outstretchedxw i iu*e)4*jc arms close to his body. What happens to his rotational kinetic energy about the axis of rotation ) cxu*wi*i4ej?

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) bh0+wd47 lnl9r gkrm :vy pulling in his outstretched arms close to his body. What happens to his moment of inertia aboutwmr d vg0 n4rl7:k9hl+ 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 hd0c.l9a m*c+ .t lamj;z0bgu angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month period in iadxw9hkn6fx j.at+ 0 c6:l.cgts nearly circular orbit fa6c .ladjnt.xhc 0x9+ 6kg:wabout the Sun with a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.e19w/b bwbh 2qz4d(iqu+s4ya30 m. What distance does the tip of the second hand sweep through in 3 minutes and 45 secondwe1y b42/ qu ai4bbhd(9wzq+ ss?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25 revolutions per min1 9eakn) g+yrxute 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 x)urr3qrkzne8( 1ubm8khi 6) s. What is the frxq)e z)3kuk( 618rur i hnb8rmequency 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#

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

A pulsar (a rotating neutron star) emits pulses at a frequency of 0.40 kHz. his9i2 nuw3;s The period of its rotas2i;u93 nsh wition is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle does it turn in 0.27d1op2z ytx;mld +e2l 0 tld12ox2 z;ly+p7dems?

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 fa2ik 850: fpq zvedvyn+o ypy3cbwj ,9:*/ bggmr will a point on the outer rim mo *bpmd3g 8 b2zg::,9vyf05 w/vonyjieqpk +y cve 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 uniformly through 2.0 revolutions in 4.0 s.obt rr)j7t,+6u b 69 ;mcu4jibekknm2 What is the average angular 9jbr4utmk7jm6, ubbk cn+ e2 ;ri t6o)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#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 2 e(wii y a8wa 9w.s:ish88vfx 8sd4iks. What is the linear speed of a point 0.10 m from the center s: ih8d(8va8ye xa fki249wsiiw8 . swof the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distance of 6.8 km. The caisonz04-je h0i a *iu-1iuf0f jp1j. tble which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast mufj. j1 izuif1e-a pns-iouij00 0ht4*st the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating with a constant an v,0e+gnwk.1v 2r+xfy dd1rqsgular speed of 2.0 rad/s. What is the linear speed of a point on the wheeld, fd11sr.wyv+20vr+q g nek x'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 jn(7ewzc8d ,dfp +wo 40.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximat fnpd, 7dwczo48jwe(+e 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 rotating with a constant angular speed gqo m . ))*b5xb1vjqycof 2.0 rad/s. What is the centri )cmo gvy*5jx.b)q bq1petal 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 perimeter;k81kqtpap pb3 b9 - 61gyfviz of a bicycle wheel of diameter 7kf;pa6 1kp vzg3y1b 8qib9p-t0.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm) must a circular, rotating spacer/ h a z8fx,f10f3u7xto;gb rs station (r = 1000 m) ro ox0x71fasrzg;u,8/ bh3rft ftate 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 circu:jn+ms e17 fq z+mi;l; vir-atlar curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided bye +-; mm+itzqv:liasn7;rj1 f static 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 p qcopk4-q30h a flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) koqcqp -p43h0 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 str r f lki5 c8si.5u-ea7en;6yvging, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the massslg-in;eker5i5.6ay c 8uv f7 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 el3ezsk( ya/6 cm rolls without slipping 10 m down a lane ay ( z6sl3eeka/t 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 constant angular a9zy:dg2*mcqvnbv58z*jq im.jvl +i1 cceleration 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 accelerabn+xram4+mo 7 i( kl2stion 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 after vd(ak ki*(1xc starting from rest and accelerating at a constant angulaavi*kk c(( dx1r acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has 1rpbplt987w 1k xbw8yqnh0n zw zd* 0*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 rotatin:20b// ajo gk scqi2; zjy,igvg at 20 rad/s decelerates with a constant angular accelera / o0vyk,g a2:2z/bgi;i jsqcjtion 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 r jl:a9fdu,ww: est and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleraaf9,wu w:jd :ltion 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 uniformly from 8.l ph5()knbsk 11i+tauzh l*a440 m/s to rest over a distance of 115 m. What is the total numberb kz ah41ukp15hna+l lis (*)t 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 unifor gm0cc5q d1qa/mly from 8.40 m/s to rest over a distance ofc5 qcad 1mg0/q 115 m. What is the angular acceleration?

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

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

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

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

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59#

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

A wheel of diameter of 68.0 cm slows dowct. *gwhrtkzrb0 8xk*88k o7mn uniformly from 8.40 m/s to rest over a distance of 115 m. How long does *ko87 8rhkmgt*w. zt8kbx0 rcit take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory )- a*ucr vk8atkw5s0 nes7 -k4gpv5 zyrotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a co5-)5z8wg ck0utrevn*s y 7a skv-pa4 knstant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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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 posgk. f: .:go90 Nm. If a 30 cm long wrench is used, what is the magnitude of oogf.skp g:. :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 i0zc yqbn+-cb g.wh85p nertia $3.00 kgm^{2}$ 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 modeled as follo m i.9ine5tcc)ws: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. Wemniti5 .c9)chat is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivotefz25r6g8kp q nd 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 section of radius R2 = 0.50 m exerts ar65kqfzn28gp force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted abof cw,rm;qyryic2) :; jut 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 yiwqrc,y2; j )m:;frcwrapped 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 end. The rod is i;u7u ifli(x/ sz8g h*snitially held in the horizont/ x8ufig;zs7li hu*(s al position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

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

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

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

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

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67#

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

Consider a bicycle wheel to be a ring of *t:v4fbq 3g82 vd jefdradius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed dovd48fb 3*vdg :eq2tfj es 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 masbqb17s kc,jgi0 i6un7np80pp y 2if 7vs 7.07 kg and radius 66.0 cm. What is thnvpu,7bs 8 7qb6f1ny ij2k 0p cpii7g0e angular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped arok4 sd-j9ds( htund a frictionless disk pulley of mass 7.07 khd(t sj49d- ksg and radius 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 required to storpl1h-b rv4; *umj ko5te $1.00 \times 10^{6} \; J$ 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 inib )9ws .y4 8h4m sfz6kcae4jnertia 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 mas xfheug 8 i6aaucdng91.:l9v ,s 1.0 kg and radius 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 pu:cxe nh99du,gf6l8 g1av .ailane?

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 and radius 0.010 m rolls with a speed of 10 m/s. ryb2halu0 9n5 How high up an inclined plane can it cliyrhul02 n5a9b mb 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 ma/qutpxhm2- lagoh )3 2ss of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertio2g/xh )p am2 3thlqu-cal distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down agd 3i g +pgkg6/v+8 qajb32gmk 35e i vqi/g2 +6p 8jggadmgk3k+gb3ncline that is 7.0 m long. Assume it started from rest. 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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76#

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

An object's angular momjrmpo 2.oge 7)z8i6 drentum 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#

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

A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

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#

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

An ice skater has a moment of inertia :qz) iwhe(ixaqw -l05 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#

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

A figure skater rotating at 5.0:; utotg.k;t r0gl t+z l/clq60 rad/s with arms extended has a moment of inertia l gl; g;q6uk co0/zttt.+ :trlof
$2.25 \; kgm^{2}$. 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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