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

1#

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Angular displacement is usually exr3,7qy fqy zm7 j5qex8press 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 ok2nkgjd);-b -t3 l7vrgw vw*u f

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 iin5t8*bmeqqk )t, b(a n 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 afba mwg iw4 vb1xn9b1p w(*ir- 24;digt a constant rate. Thefbi g w-brbi44gmwpa9 i2;1x*v(1d nw boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round whi(9b(1h ws a6qnopm5 aich is turning at a constant rate. The boy is near the outer edge, and the girl is closer toa5abwm9(q6i (sn oh p1 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 4p ;r,3m ln mp owiea8yo/2su1rate. The boy is n,mo;p yo2w/ puel n34asi m1r8ear the outer edge, and the girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merpyw n 9v: unp04kt f,chu8zp.+ry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl pk,u v nh9tzn4+fu:wpc 0y8p.is closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

C. Both have the same non-zero centripetal acceleration.

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is turning at a constant ra w(-si ;:cckztte. The boy is near the outer edge, while the girl is closer to the center. Who has thez:iws-t;( cc k 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 kpp 2f9uid4n 4of the following is an accurate statep4dki42nfp u9 ment?

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 slippiwq/q ih7h yo(/ng 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 d7hjwj1g4(k lh u4;nkc oor. The first force is applied at the midpoint of the door; the second force is app4j;7jg4 hnuc( 1l wkkhlied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied t8 2 6aehalbd7yo a door at the doorknob. The first force is applied perpendi8 ea76dy2b ahlcular to 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, perpendiculadlmaw 36zmmz/i ):x 3mr to the door. The first force is twice as i:z /33mx6lzmw) dmmalarge 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 an object's resistance to changesvu(6oa(jt;wms0r5an i7l ex- in rotati st5(iav (6-lrwu mnao0x ej;7on?

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 xd l90 / ik 0pi)bjr5nl81iniadiameter, but one has twice the mass of the other. The r )bidij5 nxl91k ainlp8 /0i0ratio 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 t vbx.d 78bpdr x4.8xicds;v3 the same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment s..7i ;d 3c8r xbxpbddtv 8xv4of 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 solt-b(9 1n(kt(u.x*y n q td fbys2l(asuid spheres 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 nyl. fus yk sdt t(92(btxn-(1*au(bqinertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increag3lb )ftgcy j 1dpu9w9z)m0c .sed to 2M and 3R, what happens to the sph1jwb 0 3 9).f9cu)tpmgzgc ydlere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is apf,1bky(u5.c df jzvi+plied 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 givjm(v .-z-yvywb1 s 7tyen by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy m t 17wv-szb.y (yvyj-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, h4 tfm g q0euji-w*o,jst656eone wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks *4s6ei fj -g0eumjot6t,5hqw.

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 wi1f i cfp;fx.gcul t6 p-*-7hhvthout slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the inclineg. hhfx p-ufi-cl c f1v7;p*t6 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 rj1 y4ezr *cgw-pjr: 9badius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the inclinecpjr4ry :z *9b1jwg- e 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 s qe+-(kztal:of a system of particles changes when a net external force acts on the system."a-k s: (etql+z 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 (3j*er8 fdfm1 rq d4mjthe angular velocity of system of particles change without any change in the system'sq 1r dm4 8fr(fe3*jdmj 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. Ignore any friction which7s vg-;+ csbsb may be present. What happens over time to the Earth's angular momg -;s7cb vs+sbentum 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 abou4nk: 729 -boq3pxxjafqliq f3 t the Sun in an elliptical orbit. As the Earth moves close to the Sun,kni4l f39qq p -xx7 obaqf:32j then which of the following 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 fastb*wg6kv he09t*-zddivn:.aw spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum a*v-:nwb k 9ddhwa*tv6z e0.i gbout the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin) by pulling in his pm :oejj r-/7n8s:v twhrr a.0bna-j9outstretched arms close to his body. What happens to his rotam a789asr v/j0rr j:-j bte-n pw:n.ohtional 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 performs a pirouette (a f95;vnbc4;gyw czi .mxast spin) by pulling in his outstretched arms cl .cmn4x i ;yg;vz5w9cbose to his body. What happens to his moment of inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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

State the law of conservation of angular moment4f.0* reob, a0wrywo/ gyqi1 hum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month period in its neats 4 2 44dars o+c+sw kd;t6dlmbzvi4(rly circul 2 s;zm4t 4bswrd 6il+o(vcdtk44a+sdar orbit about the Sun with a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.30 m. What distance does the tkm dq))tvcw* m 4cuc43 x*)vagip of thed4)*4 ct )cx qmv)vu* mwg3kca 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 revol u),m+ *yje-xph ywx3rtgv q1(utions per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.h/g (icb1nn: m0 s. What is the frequency of the wheel'n1c n(m ih:/gbs 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 n4/7ete *lwy0w9onut geutron star) emits pulses at a frequency of 0.40 kHz. The l tuo79we ten40 /gwy*period 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 3b 21z1ul ib;ephz uhxvex+ 40at 45 rpm. Through what angle does it turn in 0.20 s?bup+z4u vzhe3xe ;12xi1b lh0

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 tuo 1gtba: p cel28 vfc-p5zn1b)rns at 1500 rpm. How far will a point on the outer rim move i p 8fpvlco1tb)e1 -ng5azc2b:n 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 uniforu7wmc4llk 4p+mly through 2.0 revolutions in 4.0 s. What is the average angular speed of the whe 4wcl+m plk47uel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. v n1ot ,.1 pvm-crn7qgi0 c+to What is the linear speed of a point 0.10 m from the center of the whee,ct1r.m qn0p7-1 gionc +tvvol?

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 skiex4vizl 0cybuk2 +;zv /1f:e vrrs a distance of 6.8 km. The cable which mov+ ;f2v:ecyvzru4 0b/z ivx1kles 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 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotatingog7e o6)+s8*fkb wzcb with a constant angular speed of 2.0 rad/s. What is the lin8+eo b)k zc7fo*6wsg bear speed of 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#

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The cutting cord on a gas-powered weedwxkg;d (. dj5xeuuf ., cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of t xedu.;(f5kx .gjdwu,he end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular sp p6+m(p1lxqiuhz.o-s zu6n0 f eed of 2.0 rad/s. What is the centripetal acceleration of a p+u 6xm.zi1p ulh zf-(o6nsqp0oint 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#

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What is the centripetal acceleration of a point on thce:+n8:p g jirj02mluvx 2 h4we perimeter of a bicycle wheel of diameter 70.0 cm when th:jgwm42 :28h0cxriuj evpn l +e 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#

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How many revolutions per minute (rpmggh .:sp) bphqp50i+s) must a circular, rotating space station (r = 1000 m)gps bip s0+5 hphq.:g) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve of radius 5p-(sgu *k-y 6visw1lu0 m with a speed of 20 m/s. The max 1u ui-6v swlg(*ksy-pimum 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 circular curve of radius 50 m with a speee.r4i1 n4i yald of 20 m/s. Th1y44ei.n arlie maximum centripetal force (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 ti.xji5eiu/mx7t2 :nu rqhd4 .he end of a 0.750-m string, is whirled around in a smooth level tabdxm.4ixutuen q 7./ i2 :hj5irle. 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 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#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipping 10 ;xk ftcy.cq,al:n9t 62 2msvom down a lane at 4.3 t:tn6v s;2fx92 m ycl.qka ,ocm/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 wpl;aufip 30le(zzrm e42 e.+qith a 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 acnnf p;q5 6.iytisli*y c:5-j 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 ujqmx;d kc:zo4.8 ya(ifin;0 0.300-m radius automobile tire rotate after starting from rest and accelerating at a consi4 zxadn o:qc0y.8;f j uimk;(tant 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 angular acceleratikvt /:h*s+8p 6rmd(ofg 3lsr con 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 constant u.nrvun4sd1 tkrm, a62 0.eus angular acceleration of0n.6r2un uma ru.t k4ves,1ds $-5.0 \; rad/s^2$. 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 ;cqba.k/goit c;j0m .bh ;*ge angular speed of 6.0 rad/s while turningthcba m*;g. o0ki e;/c.g qj;b through 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 z 2a e3xjj3+m6t8oar;c 9 xddf68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the r 26 dazcfj3omx; 8txaejd9+3total 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 lr0zg uf*ikqa 032d .qof 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 1 figrqd2zk*la0qu3 .0 15 m. What is the angular acceleration?

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

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

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

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

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59#

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

A wheel of diameter of 68.0 cm slows dow1v az, tiw26 lokvo+8tn uniformly from 8.40 m/s to rest over a distance l681ti+ao kv z2t ,vwoof 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 f: nvh+z;jhx08 kzxv3 a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times ankzxvx8 zv+;f h0 hj3:t 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 w8g, q)8bvaavju29 bjv heel require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required g,qa2aj9b8vub8 )vjv 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 in4eudu 4b bg+ irz-u 2;f(vsb0mertia $3.00 kgm^{2}$ 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 moleculeev is 4)o-wzi rtoirxe 25/)c5 is modeled as follows: mass m is at the origin, mass 2m is at/o e w 5)cze-ixs54vorir)t 2i x = 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 aboutz2ll hf bv3og*q4b+m64 w 2sfh a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a forcf4 ms2*f4lqh2w 6 lbz 3+hgvboe 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 frictionless axis thought the ymfq* (d7m/oucenter 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 = 6.0 Nf*ou/7 q(ymmd 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 +8xib q7gb;(ky :gobwone 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 r8woyk ix;(q:bb+g g7beleased? (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 t e 0kfub2*n2g.gtggd6.jt oh:o be 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 tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel2.gfg20 k . egtuhn6o:jb *tgd 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 m:13( q ykw 3bnieejp.uass 7.07 kg and radius 6jw keubi3n .(1p:qye36.0 cm. What is the angular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on nj 6iur1 3o+i.k3u7mqoz + itqa rope wrapped around a frictionless disk pulley of mass 7.07 kg and rad3 knr. jt6u i+i i71qoqum3+ozius 66.0 cm. What is the acceleration of the mass?

A. $9.26 \; m/s^2$

B. $2.96 \; m/s^2$

C. $6.29 \; m/s^2$

D. zero

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70#

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

A rotating flywheel can be used to store energy. If it is required to sojeh+x ipp+0 +tore $1.00 \times 10^{6} \; J$ 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 inertiarvh(n ; *y;tlzjuz(i- 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 romezz4 dji-g+, +2tu5 b 9axaknlls without slipping down a 1.0-m high inclined na2mdte z,49x+-z g5bjkaui+ 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 rollzajc- u6nz1; 4kui7kds with a speed of 10 m/s. How high up u7ca i4-1;du jkkzz6 nan inclined plane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of ;r 6p./ieu9whnfn5dc 0.20 kg is released from rest and allowed to roll down an nh .iu e9pw;c6n/r5fdinclined plane. 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. u c83v22v9fhets 6fkf5 kg and radius 15 cm rolls without slipping down a 35e incline that is 7.fv22 fftke u v36chs980 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular momentum changes jzg jp14bp t5 :p 6daansw6is 8lh59.lby $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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

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78#

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

An ice skater has a moment of inertia bnz/va 79;b a-keu)h aof $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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

A figure skater rotating at 5.00 ram6w tk)-pe w,id/s with arms extended has a moment of inertia o6ke)mww-p ,ti f
$2.25 \; kgm^{2}$. 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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