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

1#

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Angular displacement *zb w,zz55sabr z/er 3is 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 expressedfz8tc7 6q;mphbegpj+(;c3v z 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 expn-,.8wltxjn c gz:u-kressed 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 o9q e5qdb9uz6eta6m0m nh; c6* 8e;dk idy(qpan a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacea;6dpky;q u5 9m*6h qbiaq8ze9dmt e0e 6d(ncment?

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 merg d ,73e7ldmmzry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the gread7mlm g3,z de7ter 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 fq)v y3.x xfiv5x:.ek is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear 3 yxk5xvxfi).:ve fq.speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is tb5o05ibnk6 rp qmx7v:yycazd z,t9vo p:5k:)urning at a constant rate. The boy is near the outer edge, while the 5r :9zcx t7n, pdi6y)0q:ob:5 a5vzvbkykpomgirl 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 al)tyue83; lg f constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acclyugelft8; 3) eleration?

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 of the follow03di)r( 0dkotaf/v k ding is an accurate statemen(oiak/t3)dv f0d kd r0t?

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 hie *r:kk -ii9o +*+nd bla fo;rcf;-g)bn1 zfdepends 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 appliendcww0 14p5pbd to a door. The first force is applied at the midpoint ofp1bp 0wnw54cd the door; the second force is applied 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 to a door at the doorknob. The first xp0,m vd,b2 l bsu1;ocforce is applied perpendicular to the door; the second force is applied;puvbcb, ,o02x m 1lds 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, pe) sz c,1ry49ho9bchlz 3in.hfrpendicular to the door. The first force is twice as large as the1ofczhcr9hy,lzi)bs.3 4 n9 h 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 a+bwcd(t5h.tk a *6nsv: fr6ir3 e)mr bn object's resistance to changes in rotation?wbdr kem3c)bn+6*6.irt r(5: s aftvh

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*wsm1i j- 8 1fpwkty9c where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertijf9kt- *pyi scw11m8wa is

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16#

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Two uniform solid spheres have th0w u t8l.6ibkde same mass, but one has twice the radius of the other. The rati8 d biwlu6kt0.o 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 spheres where one has twice gxt9e,65*(socjd zs ur8 m5wyur9:jythe mass and twice the diameter of the other t:95jdu5wxr r (6 yys* mzejsc9,gu8o. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If the(0:me k3topjj j8g;hwse are increased to 2M and 3R, what happens to the sphere's moment to0jj3jh8gmkw(: ; e pof inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an ob(wk,yu(( li3yr wf wq zzas-l (:;tss-ject, 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 inertiad0x3p7bj 71 fsew zod to.+n,1ln 1zz ofa2,qo of a solid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls withou1adf0zenx.bjof17w3,zd 2 o1tolq s zp,7+on t slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a m sam-yg*2.fhq zt6 ifr3/*n flass of 10 kg and a radius of 30 cm. What is the ratio of the rotatiaf 3y*l mf.-hq/2tfsg6z *nr ional 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 down an ink;1p vc5bf8qc :pjpo5 clined plane starting from rest. The linear velocity of t5o cfj:p bpc581kpq;vhe 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 rb:wvmt(hh:; of mass M and radius R rolls without slipping down an inclined plane starting from rest. h( rtmh:;bwv:The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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24#

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"The total angular momentum of a system of particle7gn ze5acok:zt1saeqp 1;n,7 s changes when a net external f zc775onekgas;,z e1qn:t1ap orce 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 the angular velocity of systx c 8+efvk1weni3qlg3 zf zn6i208u/vem of particles change without xn3c8i +2v/v e8fz3wg1ilk f0uezn6 q any change in the system'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#

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

The Earth orbits the Suns, -nfbk vk(i+t t8i0n in an elliptical orbit. Ignore any friction which may be present. What happens over time t n,tk8 v-n bi+f(ki0tso the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun ingw1b)(kqvd* .zcvc m;3p/ v zp an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speedq(bk wp* 1czcv;dpv .3mvgz/) 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 *0;rfdj jz0x-xmrg 1boutstretched arms close to his body. What happens to his angular *dj1mf0rxzg;jbx 0- rmomentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin) by pulling in hisn 8u97q(pmug / ztz(oa outstretched arms close to his body. What hama u/z((8 gu7nqz9po tppens to his rotational 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 fast spin) by pulling-.ss73ewqj sq i7k/ we in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rotat e73sqs.qsk 7w ewj/i-ion?

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 of angular mome7) v -y8wlvrlemjhj20ntum.

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 tfh4yf ,): q a nssrbe*2s)y5auhe Earth travel in a three month period in its nearly circular orbit about the Sun with a rasf4fny*5) a:ybh)2r,suq e sa dius 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 clot pw0ok,xb:2bx*t4dyck has a length of 0.30 m. What distance does the tip of the second hand sweep thrtdwbp0k4 to:2x,x*by ough in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minuivkc)i:ywr4t:h* 3px te 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#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. u 4 9 ov)f(uqa)ff36ks 0hcxac What is the frequency of the wheel's rot(s4 vc qcof ua6hf)3uf a)0kx9ation?

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 pulses at a frequency of 0.40 kHz.,i,)9je:b cr kst y l,pp.o8xq The period of it b9)isyqj,l,. kpce: op tr,x8s 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 turjq(m tg,kz jndt :21)yn in 0.20 sqy1ttjd,j: k)n ( g2zm?

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 150,.e/q+a8 *d 8g ad,eprl5agq: )+yxrawiilwp 0 rpm. How far will a point on the outer rim move in 2pae*rl:ae5) +yqpaqiwlg/ g+dx8 wai ,,8. dr.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is zrwhc93twh81chm pc;-p 7f:i the averagepc zp9w7 t1-;3 imccfh8w hhr: 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 rotates uniformly thro;maiue5(lv1 , :sq rrdugh 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the center q,r5l;(asuvd m:i 1reof 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(2m : p ddye.)e9zwmhy7w +orb skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuminmdmpe:7 z2(w r+)yw9oed.byh g 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 rotat kbzibhrr9 ehq6y)q9 iw564fejz4) -ving with a constant angular speed of 2.0 rad/s. What is the linear speed of a poinr6b -rw9vj zkiq56h)hey4)b9i4 zfqet 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 weed cutter is 0.16 m in leng1;mm/oei b i2nth. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the eb/ mm1e2ion i;nd of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 rai:7iiio5:mw j16tuxc d/s. What is the centripetal acceleration of a point on the wheel's r: ci17iwx j it:ou5im6im?

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:cyh 7 hb 6xxnx4.(xya point on the perimeter of a bicycle whe 7.6:h4cxyb any(xx hxel of diameter 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minut .v.1k6*khh8jty2 js3 b drd8vvp a:wee (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an ajb3twdsa..h*y 8pj 2kr vve8:6h 1 kdvrtificial 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 offz nor;s+utyj .,jn/6yy o z2, radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) is yjs;oz/, oryy jzu,nnt.2+6f$1.2 \times 10^{4} \; N$. 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 speed oft7dla ,.nf8h4 buyli, 20 m/s. b4,in tya7fl,.8d lhu The 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 the end of a 0.750-m string, is whirled around in 6eubb ev o)lzd4h2/8pa smooth level table. 8o6p/db4h ev e)ulb2zIf 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#

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

A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without +p0mehhy1 m (tslipping 10 m down +p(h y1tem hm0a lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant ani7v gkve:sum 1y(:eew006 ayhgular 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 acceler1/ijyn rdm)9 jation of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m radius automobile tire rotate afterq; t0 y)cz6gxq starting from rest and x;y6q t0zq)gcaccelerating 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, and3gvaw0dj k u9: 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 withv6pxp lpwb633d mr* h- a constant angular accelerati3v3w * pd6 pphxrm6l-bon 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 6.0jjc/wu :fe9o0 rad/s while turning through 2.0 revolutions. What is the average angular acc/9o0juec: j wfeleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/sv(doyydw(kn2a vt8-4 to rest over a distance of 115 m. What is ny dw- yvdkv(8a4o(t2the 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 w;v)q:le7w ec 8.40 m/s to rest over a distance o7lwcwe ev) :;qf 115 m. What is the angular acceleration?

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

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

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

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

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59#

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

A wheel of diameter of 68.0 cm slows down uno, cxmt2rk zecd-4n1. iformly from 8.40 m/s to rest over a distance of 115. 2 r 14m-kcnxzcdo,te 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 medica0j3jqa2 n )fgf8zqvtb3tl; (.eo/mjjl laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular aqel3 j8j j jf/tm(zf 0tv2bqa3)o g.n;cceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to b;ni9jzht1 e,el 6d1la torque of 90 Nm. If a 30 cm long wrench is used, what is the magnit9zbe,1jll eih1 dt;6nude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of ined s y2x;l cfff-1q;.sirtia $3.00 kgm^{2}$ 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 2y u6de(jbst5/xwdjk*w: d /:jm is5 jtj :*sxukddy/bd 6( ewwj:/ at 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 lro22eq1p* 6v*lw;qtz+svk d 10 kg 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 qdlw tvko ze l*+*sv;r2pq216. 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 t)k( o7k,noxnt he 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 = 6.0o7t) xk(n, nok 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. 8ci+m)opv ;gnq0 emw; 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 releaswogq ;cm08 nm ;ve+i)ped? (The moment of inertia of a rod about one end is ML2/3.)

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

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

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

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

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67#

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

Consider a bicycle wheel to be a ring of radius 30 cm and maszyo0ma8k/f n t 5zde50s 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 wheel achieve, assuming it rolls wt8n yamdz5 /z0f5 k0oeithout 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 o2qwyf de4(*a6 buv wa*f mass 7.07 6f 4 qdey*2*w(bwa uavkg and radius 66.0 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 a rope wrappe xvt j.t.ua15cd around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the atx.c 1jv5a.tucceleration 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 2iq( q,2dipie7tn(, ag) qnux used to store energy. 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 of ki,h gs x q3*lwy.pl0,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 m starts from rest and rohgb/ip-:j-, 5njpqlv lnl*f-lls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when itlh5/-n*l: bj,vgn pjql- -fip 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 maspagp ,hgbr-+/x)r, vss 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane ca b+hxgpv, p)a rs-r,/gn 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 is2i8dzxjez hz3xu 6* +y released from rest and allowed to roll down an inclined plane. How fast izu36*x j eydzzx h8+i2s 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 rolls without slipping dojo,lfk :yu. y2dxp m97wn a 35e inclinelmfy o xjyp.k7,du9:2 that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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An object's angular momentum c x( 0eu 7r,ccqq*i 7/syk).rsad hmui)hanges by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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78#

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An ice skater has a moment o 8z( qr qa9lbmpbd2h23f 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/;wgjgb*2n 3.t d;in lvs with arms extended has a moment of inerti;3 g*2.dijt wv lngb;na of
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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