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

1#

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Angular displacement is usualupy)o9;gtx1b 6p hcup i-c.: uly express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is v.zk 5y xm:c8g /o*pyk/ /rofiexpressed 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 expressed in unitp ,2rr/o9rkee s 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 mero3,e7d.dco k yry-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 ha co 3o7dky.de,s 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 y,lww (p r)c+uxut7 (wa 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.p7ur(, (w+ ul)wyc wxt 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:go :bdk in2+r riding on a merry-go-round which is turning at a constant rate. The boy is nk ng +:2dorbi:ear 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 zp; .ur3 kvt(y1wvgpzj- +8zj riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater cen3r+ vj(pz u 1jvk-tg8z;yw.zp tripetal 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 whdp um6- m0y(rw xff.7hich is turning at a constant rate. The boy is near the outer edge, while thempm-xhw(. 7 6 0dffryu 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 is rotating. Which of the following is xrb1idc9rcx)fhbzr//x 5 57xan accurate stateb/ hrr7x 5d/i9x5xfb z1)ccrxment?

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 depend;dbf bcd)s8wge q:,qkbd hty25 t,+ bb pc6h99s 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 door. The g ex.g8zu b 0b;amkyf-+ hnjyw7l-1)d first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the 7k 1yw-mhz bg a)gn0xd.+jlfyeb8 ; u-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 form q x2 dqtu9rr)v(7yv/3wk8u vce is applied perpendicular to the d9m u2v xu)/rq(vk3 wy rv8tqd7oor; 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 appliej 0m ;hu81zohp6fb mguu:(qd3d to a doorknob, perpendicular to the door. The first force is t(dmu ;0hh mgbu 3fpu1oqz:8 6jwice as large 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 me+o5f :hqpe t9c:9haa olam)- rasure an object's resistance to changes in rotationthae:-qfh9c+ pa95 )alm ro:o?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameter, but one hnjgiqp p(2o(v 8hpc8 :as twice the mass of the other. The r8 qo :(piphp(8nv2cjg atio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the s :*s.t ue 0wqcikg. (lfjrzc89ame mass, but one has twice the radius of the other. The ratio of the larger sphere's moment f:l.c.etru jw0k sc98( *gqizof inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and tgt398ghebog3biky3.6 9k k gmwice the diameter of the other. The hgtgkk g9oym.38b3 3 keg6i9b 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 these are increased to 2M s9galc 0qci nil1.m)g 2p+ 4xgand 3R, what happ4i)ll cim.02gqc s a+gx9n pg1ens 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#

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If a constant net torque is 6 8ltqaoy22sv applied 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 gng(6 u.y mx egk96+g6ps4)gr2hip c scylinder about its axis is given by 0.5 MR2. If this cylinder rollsg h y+mp6gn6(s6ic)ukp gx gg.42se 9r without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 1sr f)88obb-zji61e dv 0 kg and a radiufj8 -bz o)v8 1eb6idsrs 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 wit4sym.qv3 gc. bdaau1 )hout slipping down an incline.av1cuy gs.4) da3qbm d plane starting from rest. 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 and radius R rolls without slippin h-2l39f -40k7tr u vbait-)9cioupgf:ogxmzg down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depend)ugp-zrgu4c 3 lhmto 07f:-bf2toia9 vk9-ixs 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 ofu-b2f1q rt0nq co4 x1s a system of particles changes when a net externalc uotr411xf q0 bns2q- force 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 veloci4k5sgas4p4. (n+jm g 9tuyhcmty of system of particles change without any ch s 4ak4mh +(pm .4u9gs5ygjnctange 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#

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The Earth orbits the Sun in an el*0jh)zn * vibjtbk-3 aa/)y brliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentum about the Sun?*)*ha 3 itba /kv-jj0rnyzbb)

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.e+o7p:xm o. qw As the Earth moves close to the Sun, then which of the followinoo p7+xm:we. qg 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 pirouxsb yyu,qfnokn00 8,5x)z/bd ette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momensuxyoz8nd),yx00 fbb ,/q5kntum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouetttbv nen)*l4j 89bgpw 3.qime,e (a fast spin) by pulling in his outstretched arms close to his body. What hqew i84.mngn) 3btelb pjv,9*appens 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) bugqq1. h-/tt 73x mele)pfk1sy pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rotatioel) 13-/x h.1qk pef t7mqgtsun?

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 conservatsa:isi -(pfizh8d/+dlyy9 6u j2 hyr*ion of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its nearly cyy/ * )0nh2no2rdoja bircular orbit about the Suyyajn22 h)0or/b *nodn 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 5:i1ahnm- p9b85r,5qdt rask* s vwnsclock has a length of 0.30 m. What distance does the tip of the secon ndptv5w*a:srnrsas ibq hm,95k 518-d hand sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minut-r1 zk;lbk6qibspq. tx /k-g-jcp5 t5e 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 o:7weo)ki 6yv4, w k+f xlzj)w4.0 s. What is the frequency of the wykw 6e w4+oiv:l ow)7z,kj fx)heel'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) emit09q(x 5o0on p*zr n(c;gkv0ye/ujcr i s pulses at a frequency of 0.40 kHz. The period of cn( 0ze0cg5o9 kv qnyo/rr( p0* xjui;its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rofo;58 vii8*)zux b vv:os 1 ve9fkec5ftates at 45 rpm. Through what angle does it turn in 0.20 su :)vvvf8ifo5 9ok5b*vesfxe;8i1z c?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turn 06 ;fr8hfripys at 1500 rpm. How far will a point on the outer 0firr;y8fh p6 rim 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 the1*gxhk z -8titjer4g ;nm:(arough 2.0 revolutions in 4.0 s. What is the average angular speed of the whtg(1m-n8xhe z* k:e a gj4tri;eel?

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 revolutiolo n:;zivzb p-as;lsrkfpd /q)408) h ns in 4.0 s. What is the linear speed of a point 0.10 m from the center of the wheel?k8ndo z :4h;i0pa sv)b-)lpq/sz rlf;

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 ohg.a 2d5+zl7t ers (yq1mky8 distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to makeosz+gy2 retkh 51y7dm (l8q a. 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 rotatin59 xaaekrl; .xe ksor4n2m;(rsuhb ; 2g with a constant angular speed of 2.0 rad/s. What is the las 52ulka9n msh; 4r;;e(r.kxb2ore xinear 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#

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

The cutting cord on a gas-powered weed cutterms) vdd;euy3-rtai0 / is 0.16 m in length. If the motor rotates at the rate of 20 rem3d d)0 rauiv-e/ts ;yv/s, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant ax*1oat -pqh-myxa;; nmvb;w 4ngular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheel'st y;v;*h m4 xbxm1p aq-oa;-nw 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 theven -g evd,vl05,.hp r perimeter of a bicycle wheel of diameter 70.0 cm when the bike is mov,rg,plev5v ev0n-h d .ing 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 (rpm) r v6: l+ka7mo2c d+skr+sxze k5cy, -c4jmd 2emust a circular, rotating space station (r = 1000 m) rotat :oj6r dz+2cerksld m +-k5key+,msa4cc72xve 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 cirj-bk )a; a3ntzcular curve of radius 50 m with a speed of 20 m/s. The maximum j 3atn;-)bak zcentripetal 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 ran lzf f 2+/tkn0u*a;ocdius 50 m with a speed of 20 m/s. The maximum centripetal force (provided nl+ f2zc*tak; u0n/ofby 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 d obp0.* qsku 4 w+)jyjn.(vicstring, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the massw i4uc pv)0ydjs+(o.q*.jkbn 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 7.5yt.6j j-hn st8ry()bf kg and radius 9.0 cm rolls without slipping 10 m down a lane aryt 8 nsbjy)- .tf6(hjt 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 consvofqpm9 ju ,f-;uaic cw v6;*4tant 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 wi 4z.99m6c iiqq3g nrk4pla6uxth a 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#

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How many radians does a 0.300-m radius automobile tire rot : ous0rj+e;/ 5xp9kaxuei)ygate after starting from rest and accelerating at a co)+0jsp9 o xgeux ra e5y:/;iuknstant 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 1s7j0 z;)j/ mhp,wpwnz ni6dqan angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s decelerates with a constant angular accele+tjy cj 0t)g9a2f os7c7vi 7aaratis coti7) a2 7+ya9g0afjv7 ctjon 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 ous0s;x6fn,m ui;il2pc1y n. reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutis1suxnf0o y i u,6l.mpc2in; ;ons. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.45fb zk 5bg1jt50 m/s to rest over a distance of 115 mjfz55 tk1 5bbg. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly fr yv5::-xwpvtu2i: 0 yiei 6guxom 8.40 m/s to rest over a distance of 115 m. What is the angular accelerationiuy6:u evw x:pty- gvii5: 20x?

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

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

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

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

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59#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest ov.;7srcnfj-da7; ed c oer a distance of 115 m. How long does it take for the wheel to come to the stj-c eo ca;r7ddn7s.f;op?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rev/v btfa *59vf63mbgh2tmin. When switched off, it rotates 50 *fvb3 tt5a f9vhbm62g.0 times at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require+vs2:yufj5oa.vmv fa m) j7v0 tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of thf7mv )+ v yjm2.vjoa :af5u0vse 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 fa9 ,gi*tmhyam .y03pwlz h .rz9cb/3inertia $3.00 kgm^{2}$ 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 n s +5rmqku1f+follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What u s+1q5fkrn+mis 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 piv krg y/u efr:d)za 7a:qj,tb)2e1jk+hoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a fh1d/akatq:bf7zyju , k2rrge) je):+orce 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 pivosys0ofs x1nokr(iw go4k85 3/lvb5k3j6c-x eted 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 = 6.0 N downward. Hkosbrjysc8f(- 0i3e g/ x 45wxo6kl3s1vokn5ow 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 5: xi d-qjmpkdc:2d qifne..3rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angdeknj..-c :fqmidip3 x5q d:2 ular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

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

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

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

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

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67#

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

Consider a bicycle wheel tzhu6pb nx8 p v738qh1ho 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 w pupv7nbh3 h1q88zx6hheel 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 dis ym/ j qyrj4e/gz+yu/p3j)c6bk pulley of mass 7.07 kg and radius 66.0 cm. What is the a 4/ m/q3y b6/j zjrgpy)uye+cjngular 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 around a frictionless dis3(*ev f:r ejhjk pulley of mass 7.07 kg and radi fjj(e:e3*hvrus 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 ca*ev/dqb, e:an f0b aywttb/3/s3u/c j n be 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 oflr/,npl/3 thin 4f l;e 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 st14sob .s j zjistl4:g t)4j)ooarts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the spheres1jgit z).:4otj j4oo s4b )sl 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 mm) gdvdww hy)p40:p j/p2.tgu /s. How high up4 )dg)p yv.dpgwt0ju mwp2h:/ an 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 0.20 kg is7evn 4skw2 sj/ released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.0svw2j4e 7ks n/ 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 9wky ji0:1cjw kg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it starw9 kjciw: j0y1ted 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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Mark Problem

76#

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

An object's angular momentum8:ts7fczrt 5 piokj*dw89;. v mvvek/ 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#

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

An ice skater has a moment of ine)su/x j8*ra mqrtia 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#

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

A figure skater rotating at 5.00 rad/s with arms extend 3 t,g)mce4nj vms/5,r m,sna/ fdw/wued has a moment of inertia of5,/utmnra gesm,w / w4sm n3,fcvd)j/
$2.25 \; kgm^{2}$. 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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