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

1#

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Angular displacement is usually express inz:xo*6wg fo.c units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expres3a-. gvlu kq;mrsi b 4niivw,8h4m 4m8sed in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expresseb : sslf i2bcqld)+(4kd in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which is turning at a constant b+ wtvstnf68 .rate. The boy is near the outer edge, and the girl is closer to the center. f6sbt8v tn w+.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 which is turning at a consty mmg2zcd.,1a-,gr5 qs q(ojjant rate. Tog,-y5 gjzrma.c(1 qj2 qm, sdhe boy is near the outer edge, and the girl is closer 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 is turni:e) eqzz00h pzx5j( zr-zf s4tng at a constant rate. The boy is near the outer edge, and the girl is closerzr)0 5q0:j ze feh(-zxpt4z sz 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 ri. gmwd1 0nbwa5ding 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. Who1gbn0a.5 ww md 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 turningje2 1,q wzul4t at a constant rate. The boy is near the outer edge, while the girlzj1tqlw,2 e4u 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 rotating. Which vckmnk alkz/ egz353(r5z2e 7of the following is an accurate sn23 7 klr5agkeczkz 53e/zm( vtatement?

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/ky ,lev.16k j6nhl wu depends on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applihv0 srb ;dug,7nj/ 0 enf 2ayxfq40nwk-nhe69 ed to a door. The first force is applied at the midpoint of the door; the second force is applied at ,y/ eavrn4h 7 fd00 w;k0f6be9snuqj h2x-ng nthe 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 2pd y19vei,7,y j+x recicix +force is applied perpendicular to yv,iiipcc9e2j7,+ d1x xr ye+ the 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 to a doorknob, perpendicular t p2-pu)hr m m06u35rnv i p7yn(a0d5jbp uptj-o the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque of thpt70p muj 6 b)p5m ra( nnr-u02ip5 3-pvyjuhde second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistaiyb x3k98y.. -trcafj:e gc)gnce to changes in rotatiecyk)y 3.rgigb 9tf: a8 .c-jxon?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameter, but onga5-vh tq),:hxwuf z czl/7(je has twice the mass of the o,(cg-avqzh z7 xl5wu:) j/ht fther. 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 onix-hd1 a r +4,,g-sh8yty3qxx bxiy.je has twice the radius of thi1yy- j4 -a gi+,hbsyx3, 8xtx .rhqdxe other. The ratio of the larger sphere'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 s9k m8oc9yhck) pheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of 9yco8) kkc 9hminertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are inc x0 jmwppne(1-( t4gshreased to 2M and 3R, what happens to the sphere's moment of inertia1wst4phjn(-pg(x0 e m 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 applip1xa2p 0 np0hsy,uu4zed to an 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 inertit /k1p kuhq5lb9/nuk9u-qdi* a of a solid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the5i/d uuk99 1k bqtqh/lp-unk * 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 maslj-h h6xscjd4 +7upa16bm4k /e3xvus s of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic ene6 s+j hsc-l/ae6 7b4d1xpuhum3 vk4jxrgy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls withou+wyfr/,(o(vdr j a wh8t slipping down an inclined plane starting from rest. The linear velocirfhavwd,(w /j8+ry( oty 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 withoutj,d ods1z5 cp/ slipping down an inclined plane starting from rest. The angular velocity of the sphere a,z/ 15odcjsdpt 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 momentu nmz, 2urcu8u*m of a system of particles changes when a net external fo* ,uuuc8r2 mznrce acts on the 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 thuv0f/-8xo iqwy1s / vme angular velocity of system of particles change without any change in the syswvy0-v u8iq mosx//f 1tem's angular momentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun i-gvtprb -; sr g47 vyk06;fbvbn an elliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momen6rkf4v btrgg;;bsb-- vy0vp7tum 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 an elli qa5lvlddk *mq7h)w1aqv)c7 )k6dg9cptical orbit. As the Earth moves close to the Sun, then which of the following best dea 1k)7cda hq7qc)vmkd59dwg *l6 v)ql scribes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouet5 5o kgj.:6:t c xo-npenyux/fte (a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momo:oe ng-/.k65xjcp5u:nxy f tentum 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#

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

An ice skater performs s8z/g d;vph+tls x;y; a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic en;sg zl/d+;v sxh p8ty;ergy 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#

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

An ice skater performs a pirouette (a fast spi3d5 g zlyr05m2 gnk44;hdgfq yn) by pulling in his outstretched arms close to his body. 5 m 4fn 4ry5yqzdk30lgdg h;g2What 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 conservkbrv, 8jzm9s8ation of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its nearly .o* v*8:r,u-rrykr1 pzew gczcircular orbit about the Sun wi wg, rz ry *81ezk*c-urpo.:vrth 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#

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

The second hand of a clocxem-15yu czek9- ) pdwk has a length of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes -d) yz9 1exe5u-cp wmkand 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 equiva:x0sld vu/d ; -p8-kqnfcfxo* lent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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

A bicycle wheel rotates uniformly through.ik f f96 btk.umx:pr2m+t(kt 2.0 revolutions in 4.0 s. What is the frequency of the w kfrtt ktf.6k:x.bui pmm+(9 2heel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits punr cl3dfb,-he/),cy qlses at a frequency of 0.40 kHz. The period of,n3)r,hye cf -cq dl/b its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rotates at 45 rpm. Through what angle does it turn in 0.68 u8bi 4xc i)oypp(x(u;vdzfvl 0wi520 six80 5iw xo y(; pzdu4p( )lb6vuc8ivf?

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 * k,fad8 k9prjea-z02 -pmpqi at 1500 rpm. How far will a point on the outer rim -jf*a9 28mdr p ppkaik-0qez,move 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 4.01--p;4hj0m w m g1fek1yrqp ge s. What is the averagj;e1rqwypk -fgem0gm 1p 4-1he 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 rotateuzn2wk dscmajd.q 4 o0/4-:p2 dbwit0 s uniformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from dnp4:domac4. /siw00z-2b q wud k2tj 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 distance o(10vrm +4q 7femjef7 e h:frtdf 6.8 km. The cable which moves the car is driven by r ffmjt:ehr 0qm (e vf71d+7e4a pulley with diameter 3.0 m. Assuming no slippage, how fast must 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#

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A wheel of radius 1.0 m is rotating with a constant angular speed 9p)r+yr5jcz5ve 6i 8s:mblv bof 2.0 rad/s. What is the linear speed of zb)vjvs y5p8c:r+bi 6rl5me9a 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. If thfwhb /s1 jrbg--u 5n5mocbrb:0*hg w9e motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the b/g j1fhgr c: rwwb smo-u5-b 59bnh0*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 angulajqt-yz t:7v(0 ca9obcr speed of 2.0 rad/s. What is the centripetaljz:0 7c(9cqbytvoat - 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 perimeterqgyawj)p/9tg qy -eas-5( :gt of a bicycle wheel of diameter 70.0 cm when the bikeg e)q5ajpt-g-/9 t(aqys:wy g 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 space station (y2 x6cs)tw, a2p 6 ;fkpwdde +iyn8l7ar = 1000 m) rotate to produce an arti+ny;k)6 fwp7wcle,sd 2ay6p2a x8ti dficial 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 of ip apax1b0, -1g1tm mpzo,y 5eradius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by st 1-p, mzm y1,5epgx0it bap1oaatic 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 negotiatingxp+bcy:jk ;) y a flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal forcec yk)pb jy:x;+ (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 of a 0.7zy) 0qs0a6pqo5 yx6ec50-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 opqyz0s)cq e065a 6yxstring 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 rol876. qf) 8gektnvn */rxziaw ils without slipping 10 m down a lane at 4.3ftqk.gi/8w zrx n7 n*v8 )aie6 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 antuzw n2v +cz91gular 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 nrsjd7q, ;os5ru5c *km6 gb -z ysa:n6a constant 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-m5feflo 4w-j of032wt m.rlbbl+vdh68al l h6 ( radius automobile tire rotate after starting from rest and accelerating at a constant angular acceleration of e( lbw v5hdolhf6- rlfo8j.+t263lfb4a 0l mw$2.00 \; rad/s^2$ 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 res+ v4a0bnyas7jp:: evq t, and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s decelerates with a coso40m x0 ietj0nstant angular acceleratiox mti0jo s40e0n 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 tu6ri*mphs (6hnrning th6sihp mhnr( 6*rough 2.0 revolutions. 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 64pedg(-5lwwk yxc*+ t9yd7j5. kw mt v8.0 cm slows down uniformly from 8.40 m/s to rest over a distance7 jdy4 t(w.c9d lewkkwt mvpx5g- +*5y of 115 m. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest ovexz z:/ f;2qsze, ,gr)3mpesmw r a distance of 115 m. What is the angular p 2 q,)m3wg/:;xzmez,ez s srfacceleration?

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 fr rwzir af(21;yb6y 0edom 8.40 m/s to rest over a dzdy 2f6rb0;a(i1ryw e istance of 115 m. How long 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 v/de ;;(3 oq lcjgh.bka rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before qdh 3;.g/(;bvlck joecoming 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 tcicm6-90kuty xv3-fk orque of 90 Nm. If a 30 cm long wrench is used, what is the magnitud3c-y-9xt0 fuck6i kvme 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 ofw z)euk. b6jvyy,8):s ug4 fnt 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#

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

A triatomic molecule is modeled as follows: 6 kri y:9zy.1rfd +k63bmjiqy . iy+vfmass m is at the origin, mass 2m is at x jq.ziiy+.yybivfy6k rrm39+kf 6: d1= 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 ii+5vdrvq)+f n *ddm 7ts pivoted about a frictionless axis thought the center O. A rope wrapped arounddf7q i+nrd+5*d) vtvm the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) 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 about a frictionng 1y:jn 2vt6r6jhp:b less axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped aroh1t:rj 62 ybvgp:6njnund 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 hinge: 9db4rfzs 9s7m)yxzg 6fjo,sd at one end. 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 of inertia of a rod about one end is ML2/3.)9,gd7) s ms6x:fzs9oj4fz rby

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 kg. Neglnixid hf u.t(9 d,m2x3ect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a.xu(,dim xi9n32dft h 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 mat *;hjb+smoblw (fdbg( 7sy+9 ss 7.07 kg and radius 66.0 cm. What is the angular acceler l ftdsw(mjhb y9; bog7b+(+s*ation of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionleut, lcvnj o;rg k:n;;0ss disk pulley of mass 7.07 kg and rak;l jotgnr:0 u;; nvc,dius 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. k 5ay*b c3q pzr3al07w ekv3.q If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment ofl m *4yr72yl tuy2,7 )hvetxk-wnt4m p inertia 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 rj0pa: pfl 5,z0kb,vcm starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere wh5,apj 0rkfl,v pzc:b0en 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 and radius 0.010 m rolls with a uq74p3t6yt lca+ga+c ndns+ 4 speed of 10 m/s. How high up an inclined planedql+n u+gyaspt+3t476c n4 ac 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 re)lwnzn2djx +5leased from rest and allowed to roll down an inclined plandn jl)n5x+w2z e. How fast is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rol h8z98 atp lpzdd:t6v5ls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of id69zatzpt v :d hl5p88nertia 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 mf+ek7 be sr5y:*tbj( womentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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78#

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An ice skater has a mo8b/v(c z xwk6w8 ,ybhkn2c lz+ment of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

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/s withzza3y 6b48fq v nia8f( arms extended has a moment of inertia f38za vn4i y68qb(fazof
$2.25 \; kgm^{2}$. 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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