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

1#

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Angular displacement imh+ayny xhr/dpqdh- k99 .3 +cs 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 units vlc*bg/ e/,miq0hyx3 of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed in units oyn)bskh:m)u *.7o+,lpx l dief

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 ridi905qiy.vk g:sb4*la dzot2 .0ryxnf ang on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is close. 5ir ab0.:0 q2yx4t* nk9ogav dylzsfr 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-go-round which is turnin:v5its 8vv,tj g at a constant rate. Thv5vi,ttv js 8:e 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 turning at a constant s*2jm4t t 2biurate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater lint u* 4sbt2jim2ear 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-7ip(p adw.562bp ijmv t.(hrqround 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 i.(t ph pd6bm5v2wjpa i. rq(7greater 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 medko;ej)v/6 l jqy)xd4 rry-go-round which is turning at a constant rate. The bo )jy/)kex4jv6qo ld ;dy 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)7g+ tw2wxi1 a7oc9 6;g)rtrff nego m is rotating. Which of the following is an accurate stat r7 gmi))tgg 69caxon2w+1ro7fef; w 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 slippi1cc w0ykb*m ;nng 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 applied to a d 1zk3j)m3uv,sffse:yoor. The first force is applied at the midpoint of the door; the second force is applied at 1)3usfymsef3k ,j:vz the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doo rgyi:u37ul(drknob. The first force is applied perpendicular 7i uu:(g3yd rlto 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, perpendiiqh1jz d5 (b25xv+8qog7 5+szawyucscular to the door. The first force is twice as large1+58sayis+d5bqz xwou vj2z(q5h g7c 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 measure a061eimb1woat kvm((l *u ltp8n object's resistance to changes in rotation?t1mv temo8( ipl abu60kl *(1w

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 sameefi,q*-s+3f bv iqpk : diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of thee v :k3qipi,fqb+f*s- 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 twicgqp m1d/.g0 mde the radius of the other. The ratio of the larger sphere's moment of inertia to that of 1gp. 0mddgm/qthe 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 thzxvq.c3 i22the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertiaiv.2 q2htczx3 is

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18#

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A uniform solid sphere has mass M and radius R. l)yat nlz0r;8+ s*wh8jqym1x If these are increased to 2M an1zyt ) ashwjn8 yq80;x+*lmr ld 3R, what happens to the sphere'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#

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

If a constant net torque is app,15 mhd(vce3h d*yj splied 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 inertia of a solid cylinder about its axis is given by 0.5 Mxcii*tqzs2stu0 857 1lih j-iR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its tranii 17h xis-*ttz20iu jql c85sslational 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 10 kg adsw5e74qb hq,f5u 8f end a radius h4weq5q5 f7e ufd8bs,of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

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 without slipping dzd(6isvu c3gm5f8 azl/fn kcx((j 2p+own an inclined plane starting from + d5(icf( av3u/jxnf8(pzzksl 2gc6 mrest. 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 a4yep 0.k f(lq6y)/di )klw1ap6dvzxand radius R rolls without slipping down an inclifk al4 l6 i6ay1x/qd.0 )p)zepwdky(vned plane 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 s5yr jp*zfk7t (.u gjmcq5akn 6 7jt*)tystem of particles changes when a net external force acts on the system." This state( jtk7*7crmtn 5p jtz)6ay5 k*u jqf.gment 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 parcax 60ca4ux, kv;. cfrticles change without any change in the syste6a cx f cukr0a4v.x;c,m'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 in an elliptical orbit. Ign:flj u dw1t44kore any friction which may be present. What happens over time to the Earth's angular m jw: t1klfd44uomentum 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 elliptical orbit. As the Earth moves closeebkdif 5;1 p.epg (n.y to the Sun, then which of the fkgf e.d einyp(b.1p5;ollowing best describes 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 pirouette (a fast spin) by pulling in his outstoknio/3,kxg 2ai-pc- retched arms close to his body.2oio/3-,k n p ikcag-x 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) byo,9;teqgzrjws* :zqnis q +i,1fxb : 7 pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of rotaqnf7 j,xq r1i 9 sob,zg*+ w:ie:tz;qstion?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstr+rn f z ;+3y8tywbiur+ w g4redbc-c./etched arms close to his body. What happens to his moment of inertia about the axis of rota tn.ycrr+ g+ iu4dr3z ycfww8 -e;+/bbtion?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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State the law of conservation ohm2.qnzr+q zdnw/2c4h**z e af 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 ci;wafx7efm ).frcular orbit about the af fx.7f)e;mwSun 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 lengma5suxm9ikh * jj:3h*th of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes and 45 s:m j h5x*a*usjmh 3i9keconds?

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 equivale feid-z6ibi/:85 bp qbnt 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 revolution ,rudafxzeajy )m a,0u.0t30w s in 4.0 s. What is the frequency of0z u ,,dfjrx) aeuamaty0.03w 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#

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A pulsar (a rotating neutron star) emits pulsesoen-6v 2sj,ro d95g9hhgs om : at a frequency of 0.40 kHz. The peri2 5vrh9jdn6oso:m9h, sog g-eod of its rotation 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 dodozbm4 n51ie7es it turn in 0.20 sozbi5 dm174ne ?

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 rtkjr yd -h;g:u-o d,u9pm. How far will a point on the outer ri-hur k g;:y-d 9tudj,om 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 2m p )l06( l;kmjybck0u47x yah.0 revolutions in 4.0 s. What is the average j 6m)lka;yy0 7cbh(xl4p kum0angular 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 revi,i);lsyoqr(*ii0 sy 9.pl qf olutions in 4.0 s. What is the i;ls*p)iqy rf s9(i .0iyq ,lolinear speed of a point 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distance p5l. pqku 0kzdc /e 4i.wjg g4o7hjmd+o69sy3of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minujd e s4dgi g.uph96cpzl 7qo0.4k/yjkw3om5+tes?

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 at(e/ *c ,tnqywith a constant angular speed of 2.0 rad/s. What is the linear speed (ta*qtey,/c nof a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 0.16 m i *3 / i2l 6lu6fxwhweknadun0:n length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end o *fkaw0h xin :lue3d66/ul2wnf 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 angue*kl 1 ;cqn6o0f 8ihwelar speed of 2.0 rad/s. What is the centripetal acceleration ofiw0l n o8*h6; eekcq1f 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 poinwvekvs k i 6w.)0jku+-t on the perimeter of a bicycle wheel of diameter 70.0 cm ) +kskw.-jue0ki6wvv 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 circula8jhcpf*s jb+ *ry rtchc.x*5 1r, rotating space station (r = 1000 m) rotate to produce an artificial gpc*r* r tjhf8chc5 s +.*byjx1ravity 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 kde(b-( . p;clu.xue,br5d :9poc oia of radius 50 m with a speed of 20 m/s. The maximum centripet d-i(9bl ,ceuurc5bp: ka(x..ooe;dpal 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 circulmi3:mljfvz kx6k z; (7ar curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (providedxm v7:lji3(k kf6;mzz 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 0.750-m string, q8iqd8khkl; j0 6 r* qhs4zra6is whirled around in a smooth level table. If the maximhi* jqlzd6 qks0 ;h8k r48rq6aum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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

A bowling ball of mass 7.5 kg and radius 9.0 cm rxmw(vg+-1 ,b7ytawtv olls without slipping 10 m down a lane at 4.3 b -+,tv7ay(wxvg m tw1m/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 ak tq5ixpj,i0e) s1sw oeg5r,0 constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant angular acceleratrpu t7lk(q0 (mk sm(98s3 zgution 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 4yf .;qvmqsg08mbho ,tw92mhtire rotate after starting from 0q84gh m v29hm; f tq,s.ywobmrest 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 alj64x/xb o5) v 7inqmengular 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 l/;a0c mdh1 bcyd0nk9 with a constant angular accelerat/ ah0cbkl1;m09 n ddcyion 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 turning xh: mswz:i5e+okdq2/ through 2.0 revolutions. What is the average angular+hz 5m wskdx 2:iq:/oe 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 orv8*4hawv w( 4/ke qtk.zivz9 f 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in coming to re iq v8(4hrw4k/*zkew.vvt9a zst?

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 o.f))b m,(yfng p(jh bvver a distance of 115 m. What is the angular acceleratjp.( v gmb, )bfyn(fh)ion?

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 unifowqu5ah: ,s6gp0; n hpm2zv r7ormly from 8.40 m/s to rest over a distanczh m0g6q sv5a :uor7pn;wh,2pe 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 a rotatiom)yw0l0q7wc c nal speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleratym w7qc0 cl0)wion 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 tighteni+ u7e8pe/p ojdng to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force rj odpeu+p 8e/7equired 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 in7z. oojp0ozu *ertia $3.00 kgm^{2}$ 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: mass m is at the origin, mass gb0 /)btic-zk 2m is at x = a, and, mass 3m is at x = 2a. What isbbt)-i0g kzc / 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 kct);vdtnch-8xxx32 bm vp2/ dg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50;cxx/d m2 b d vtt8vhn)3px-2c 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 kgudb7-lc-awt v9*f1 wgo uv:20baknw2 is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = wn*dv-g 9a 2bubl20:vwow1u7tf c-a k6.0 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 initially held in the hop9way+s 6gdla+u1 ;sorizontal position, and then released as the free end is allowed to fall. What is the angular acceu+gd+19o w p aya;sl6sleration 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 beutlk : 5at6orso76mg*j(u yc4 a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of th*socu (6lgjm6 ryt 5k4t7 o:aue axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it 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 eh27 ; 1f*en,km;qmhxij7 buw disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angula;eqfx*mmnk ,2e17ujw hbih; 7r 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 *freajz*b*6/ 5wen xcaround a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. 6eeb/za xc *n5f*jr*w 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 sekl-eih ph. a1 tg)u.)g 8/mnstore $1.00 \times 10^{6} \; J$ 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 6jie mmi+a u.2ts5-) ugkf klh*n oj19inertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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

A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and roy 62i pfa1,*lm1hsyxtx2*bf wlls without slipping down a 1.0-m high intf11xpfsyb6 *y* h2l x2,w maiclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s+fnsz/ib oe,*+xy zv (. How high up an inclined plane can it climb before bxz sv of,/+e(nizy+*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 0lpq24lfu2+*sg x1la6 inw2e ss2rts +.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it m p4sss+*rt2e n fg2l2+s ll126qixua woving 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 u5c wf jogd29u;e5 avj; u,b3ta0si+k and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given bjtcsb9 +a u,vi5uw ;e afu3o;5 g0k2jdy $I = (2/5)MR^2$.
(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 moment svx1nr-t )5fkum 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#

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An ice skater has a moment of inertia 6g 5xmxv ufbd -dd2i2/ y8rvm(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 with arms extended h*4(erfvps: vxas a moment of inertia or* :vsv(e 4fpxf
$2.25 \; kgm^{2}$. 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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