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

1#

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Angular displacement is usually expr 8d fg3sji7;ocz is1s4ess 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 unite4q.bo wyj coi q,d3(0s 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 expre hq 4a/62g,a6cdhjk ejssed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which isb+ *)b*z:+uoejo wfz xhrttf:g- f3w 0 turning at a constant rate. The boy is :wo0jz:w*3f r* -he bff+zg+xt ) obutnear 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 arei7ur mht1p z );..zitg riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the gh).i7izpmz ;tgu 1 t.rreater 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 mi ((vttm+8pi lpoe yjg/(n 8su:23lmm erry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater l3p : / tg8nisv2(puolm8jy(eml( tm+iinear 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)vv81r : hz iheaebaim+q32c9 a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centri9 qrizc h+ ae :amhe2)vv31ib8petal 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-rh 4uq9ca .fwv8yx 603xpc(tbzound which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greateuh 4. x atbpy6983w0cfcvx( zqr 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 ro .m:bwb4-f7/ljxvn7 jb kp.x.gfrmn3tating. Which of the following is an accurate statement? fw:3.mlxngm .4v/.rkp 7fn-jbb 7bjx

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 dekm u* /fm-.r:lhjc0dcpends 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 arer d 2*ye2(jarb applied to a door. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendic2eby *(2adrj rular 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 force is f ue-*2vjl0y1q kuln1 applied perpendicular to th -k0jv *1lufn12que yle door; the second 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 toz7b/a (y o oxv0lrf6(fdau/; r 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 toyfoa dvr7bzao 6/0 rf(lu ;/(x 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 m jew3o,0x9f tqeasure an object's resistance to changes in rotatioewo 30 jtx9f,qn?

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 bzz krhbm:w */4oth have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of b k:4*zw/ zrmhinertia 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 theqsu; .)mf +lglq8*op/ifywu3-0cr w m radius of the other. The ratio of the larger sphere's momen8c u/s; wf+ir0.)3yloqp u*lqmgwf-mt 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 twice the mass and twice the d w,bros4zd)e6 r 1;yaziameter of the other. The ratio of the larweoy6 ;r4bsz, zd1a )rger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these995a ja6r5rn8hyvp 8z l0p yby are increased to 2M and 3R, what happens to the sphere's momentpy58rz bl0rah96jv5p a 9 ny8y 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 s./;yjc)+ hlt s r3tgdmva2*sxj;vd4 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 it/cvrbixo7b9vz , z .9h ;fv,gcs axis is given by 0.5 MR2. If th9vvzb/ g 9 ;xfvhi,ro,7. czcbis 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 massj) c-wfi/zt;)e5 u zcu 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 kinetic energy of the bike? Assume the whete 5w/ )cufz);ji-cuz els 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 xn/6u+n( ew arwi1 *jn bfgn)3rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the inclexn3i/nwa b1r+fgn 6j)*u nw(ine 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 rollsmj 5 el(am27r)w3r ,m2ife lhf without slipping down an inclined plane starting from rest. The angular velocity of mj2rif57la rele )f( ,h2mmw 3the 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 w2 z/idzqt u)p5dh6z1 rhen a net external force acts on the system." r2h1)6/z zdqui5dpz t This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of particles change w:ptqfy)cu2o: g7,- rkm9x onw ithout any change in the system's angular momk 9nty:c)omp2q 7:x -, wofugrentum?

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 jk,0 z+t(csct431opiwoyi b ;friction which may be presento1b +;stc3 pt4,0( w yzioikjc. What happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sus )c7;3ky(m uk3 djidx2ak9uxn in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speedy;md (dc3) j3i2x 9ak7xukksu 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 zv 7j3 85umedgfast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axig8m 7du3ez5j vs 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 pull908byhz +c99 iagx xtlp(7rid-i ; zoding in his outstretched arms close to his body. What happens to his rotatid yr8ibizc -9+ 7xpah(o;lxidz990 g tonal kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater perfork:y fnj/5 t7agms a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment o ky 57a:gfj/ntf 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 angular bpg3gct9r 6) imomentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month perahqd 9 s;hp .wi3c:lz5iod in its nearly circular orbit ab.qid3;5c: zhsp9wa hlout 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 o) swrh:dos9 qz-8rt(nf 0.30 m. What distance does the tip of rs ht8(srwzo9 :)q-dn the second hand 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 revolutions per minute equipztgj8hf e03(valent 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 uhf-w1b q y6ccc ( :s-hv4h:zwyniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's 4q( 6:y -vbhccf 1w-hczywh: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 kHzn3c,k u9t xmdoc* j:cbu0j7w7 ia4m 6g. The period of its rotam 7*40 jjud3onac b7 tkw 9icgx,:6mcution 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(6 ,cywihi0 u 6vddu/q. Through what angle does it turn in 0.20 s?/ dd, v(y 6iq0ciwhuu6

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*pgpn+za+m2 b,s f87 m fcqa: rngdf/0. How far will a point on the outer rim moq,gm 7pfzm+franp d /g80f2c sn+: ab*ve 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 revolutionsybgwwg0 +lb .: n4xpa: in 4.0 s. What is the average :+a .w:nyp 0gw4xl gbbangular 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 ug20r yh)niz7g niformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 mr0i n)h7z y2gg 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#

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A cable car at a ski resort carries skiers a dp8n8*6d44nw4zc (r7z kz ll d7swdowdistance 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 pulleyslcn88ol (6rnp4 wzz d47dd7zd4wk* w 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#

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A wheel of radius 1.0 m is rotating witp-nv6 ( e 5dcsbwep38e fs7ow,h a constant angular speed of 2.0 rad/s. What is the linear speed of a point on s8o b(fen pc5-,swp 7vwe36dethe 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#

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The cutting cord on a gas-powered weyjhfm 79v//apm2 b1h ky08a nmed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximatef7 vypm 9y/j8m1n h/aa0kmh2b 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,b9u zvc*cnr- with a constant angular speed of 2.0 rad/s. What is cnzrcb*vu-, 9 the centripetal acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetal acceleration of a point on the perimeter of a bicyclee+fkh9r ,0sba3+ jo wf4zrvwsn w::j4 wheel of diameter 7whj +z+wsnfkj r 0:,34a9v wr fbso:e40.0 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 circg* v -k8rvk5:6ci1q,q jemre6 )gnu dyular, rotating space station (r = 1000 m) rotate to produce an artificial grqk r*jv6 qur5 8veg: mk-1 n6,c)ydiegavity 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 negotiatings-f7 r m3nkfe- a flat circular curve of radius 50 m with a speed of 20 m/s. The maxe-3 -msrf k7fnimum centripetal force (provided by 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 a flat c4e t8hdfcs3qlpnze ,85 s eo+3ircular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal foro4fq5,3+e plesh3z88s cn edt ce (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, att 8ef7x6q doa:79t t,clivp2 * ihirb6kached to the end of a 0.750-m string, 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 mass have if the string is nox*:2bo rph6eck7qt8a , lv7tii 9 dif6t 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#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without sl)9vxh, w)q6 oo rvwymy)c4o2mipping 10 m down a lwvmr) q)o4)9o 6 mc,yhoyw2xvane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angular acceleratu; kl,j+qb,*a n1ius wion 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 congse23 du mmv)u73 eve)stant angular 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 afterkhmr7 c/hi4 ++z6rbv2me j(cvj l;* 9ueqjqa4 starting from(k /7vjmr42ze6j*;ca b9e+hqlq+ c ju4mh irv rest and accelerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an a-ulz*h /j 7 c0goakft0ngular 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 dec1zbfg+l / zuhg k;.;bcelerates with a constant angular acceleratigz+clbg z h.ku ;1f;b/on of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s while tu 0hx0;twf2 dpy/c 6(acps b7anrning through 2.0 revolutions7wtfs2 xdc;ppa /h6(n 0cy0ab. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm p rbvg r*:-c3x9rk af+slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revor:v gcb3-paf+r *rk9xlutions 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 slowsw3t;*yyyx; zt down uniformly from 8.40 m/s to rest over a distance of 115 m *yw3tyz;;xyt . 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 slowsyg dtog nt .7e0,v(kh9 down uniformly from 8.40 m/s to rest over a distance of 115 m. How ly. n0 vg,h7dott9(ek gong does it 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 rotates at a rotational c3b- n qt p)uklc;mw87sdj74xspeed of 3600 rev/min. x)c3j uqdl7-ncb4t78 pkm; wsWhen switched off, it rotates 50.0 times at a constant 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 tmarb1cc2cjq ea x/8 +mj)54ybightening to a torque of 90 Nm. If a 30 cm long wrench is used, wcrbcjq8e 1mm/+42)xajba y5chat is the magnitude 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(,0lu8r 3g ddazx +xoc inertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

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

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

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

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

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63#

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A triatomic molecule is modeled as follows: mass m is at the ov1 viarsg1c7:m1*k4 )cn.tz9nbx yrorigin, mass 2m is at 4)v 1yc.m 1t17b*s : x9avngczrinokrx = a, and, mass 3m is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless v273lthpq ih2x fx *z; tvi(l/axis thought the center O. A rope wrapped around the outer ra xx72v ph/*ittfq(2il3v zl; hdius 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) 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 pivot3ypp 6g-gt(e 7sosv ze72hl1bed about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 vpye73hgl te2pg 61zos b( s-7= 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 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 hga0xv yw hbke+ m92;(9zjrrcy* 0q eg,inged at one end. The rod is initially held in the horizontal position, and then released as the free end is al;gc0a9v k yg0qjxb2rhmwe (+9, y erz*lowed 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 befqxkwcm)d*2 )/tv2gt a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tam*c2ttqd/)wgv 2 fx)k ngentially 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 mass1pcf;1 piz6 fc45afo u 7.07 kg and radius 66.0 cm. What is the angular acceleraaf ui;54f1cp6 ofpc z1tion 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 o2j0/a p)0cr mbfzsx ,vn a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is,)a v2fsxjmrz0 c/pb0 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 fb:u 2);iasb6 jg4 sv.km-waw8m8sww 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 inertia optr9 l1ynp e*haa3;wu+eyl/. f $5.00 \; kgm^{2}$ 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 * igx7p0c b,v gw,e)8hu;irhfstarts from rest and rolls without slipping down a 1.0-m high inclined plane. What ishxbp * irh87cg),ei,wf u ;gv0 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 masszzgr7ww4 h00x 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb befgh7wwrx 40zz 0ore coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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A hoop of radius 0.50 m and a mass of +qg lt y *,bjp(l2gq2y0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving aftg *qbty jg(+2ly 2,pqler 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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A solid sphere of mass 1.5 kg and raltc1c 9bgs*k6dius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of in9g*6tcb1 lks certia 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#

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An object's angular momentum chan,/owae o 3prc l.wv5:t.n4glyges by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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78#

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An ice skater has a moment of inertia h7/ud9ar pw. rof $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad f;8ctljs99f ze lpz6i08jf4b /s with arms extended has a moment of inertiacf4jtzbl6j;iz8el9p f f89 0s of
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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