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

1#

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Angular displacement is:vv6kqdll 4-l 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 expresse kbhizc2q83 v3ck b::on7 )bpud 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 e70p7/fffksm:e -j gvc *rz(uzxpressed 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 areslc71jeg;6yoj9 hdm5 riding on a merry-go-round which is turning at a constant rate. The boy is near the o5mg6j1;o7l9 s jyehcduter 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 which is turning at a cons a+wh; l5,axfqp0 p+swtant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular spee5++ a,w hq;px0lp fwasd?

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 ,a ,aytl8/geuriding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, aeu/8gy l, ata,nd 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 merrys8 ayo/pbg(9 y-go-round which is turning at a constant rate. The boy is near the outer edgsbpy 98/yoa g(e, while the girl 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 constants,e,0nq d*b lw rate. The boy is n,wbn elq s*d0,ear the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the following is xq195g8b tg hwu0kwo wj3c 6,aan accurate statement,wga 6k9q8buwo g30cjhxt5w1?

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 slippixi hzjcy b799.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 door. The fir+b2 4pnwrij5cst force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greatjn cr45wb 2+pier 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 ajl/zlc/m 8-p/fw09i+j bgu x)g( gv pmt the doorknob. The first force is applied perpendicular to the door; the smv 8bgi+/-zul )/9j(mwgcpjp fl0g/x econd force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The fir q8t7oz l 2x5g+ta/,4iskvbxrst force is twice as large as the second force. The ratio of the torque of the first to the tor5otia7/ z tvxgl, b+8k4 q2sxrque 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 resista+jk9( (oi lraince to changes in rotatio 9i(+(ailrjkon?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid sphepyf3xd)+ -,j pkqh.e)n a)bd jres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to,ya )-jddpn)3p+hfb q e )jk.x that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but onc )nmu5hanqso *9 9k*ge has twice the radius of the other. The ratio of the larger sphere's momen9s9c hq5nm kn *o*gua)t 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 twiceza,x(5zk wji 89 5inwkmi*b4m the mass and twice the diameter of the other. The ratio of the larger moment of inertia ikxz,n589a4 (wimb*mj zkwi5to that of the smaller moment of inertia is

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18#

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A uniform solid sphejn b lh-.1iz zwuc:w0r09fw4rre has mass M and radius R. If these are increased to 2M and 3R, what hbuwj h0wr -4zzl1 9cwnf 0.ir:appens 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 applied to an object, that object wil yie;a a:ls 7iaegj bq+9(;xl5l

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 soe.mapi+ *2q0ey:v /vo5 o nxatlid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rottv2qyoonx:/05v+*pi mae e a.ational 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 motorcyclee) esij*+vm 1*m z(zjwd 16cei of mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. 6 i+wie z1z)edej(j1 *mvmc*sWhat 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 an9yxzn s+sz91 hd radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline dependsnx1 y9 h9sz+zs 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 -m cw k kurg9gfi.a2(n3hftd e85 /l:nslipping down an inclined plane starting from restk kanhdnrtf.w2:l ie/ g 8f93-uc5m( g. 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 particles changes whey9 ruc 6r;u*/:mizkysn a net external force acts on the system." Thisy/ umyri 6:ucsrz;*9 k 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 system of part,huaaq8-/ a sv )i4q 4gwc;rcdicles change without any change in the system'sc4 w ghq,c)avd;iar a-84 s/qu 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 p 5zjygh(2 snh5f4fz2 1b ;iykfriction which may be present. What happens over time to the Earth's angular momentum about the Su52y5 i;fgzksby1h (p4zfh2nj n?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earthz-wfj rzy2hi77 /vq( k moves close to the Sun, then which of the following beskhr(jzzi7v 7yw 2f/q -t describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spinq)8jjj)zgivn9 .a2 x b) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis of rotationn28q i)vj x)bjg9j.az?

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 pul rpeos(j0k0g,ling in his outstretched arms close to his b (o pg0rek0sj,ody. What happens 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 in his outstretche n7 8u,ulyenvnq1s: j.d arms close to his body. What happens to h 1 vuy,.:nlqun7 njes8is 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#

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State the law of conser.d pq on-t8a:qymnklf ;bp:8(vation 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 Ear/rw rxk6 37bseth travel in a three month period in its nearly circular orbit about the Sun with a radiuk/wx7 r3er6s bs 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 0pyd7b44 ww3wd,v hm -j.30 m. What distance does the tip of the second hand swe dpm3ww4 v-dw4j7,bhy ep 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 revolutionsx.5 f+b z4oivl 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 2.0onq)s0w ,c w;qb4u q+a revolutions in 4.0 s. What is the frequency of the wheeoac u4qn,bwwq+;s0) ql's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency hqic5cfuy- qj 9vu :,,of 0.40 kHz. The period of its rotation isq-:9j ,cquic yf v,hu5

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle q.fr .l r:b-umflao9 t)j)7pwg;wg9 tkgq*4g does it turn in 0.20 ; rg.9fl:mo.)7kwfut* a-9rgj g gw)b qpqlt4s?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far gm tbt.aw3mh/o z x40h-8pju -will a point on the outer rimhmg jtzpto 4- 0b3m-8 wa.h/ux move in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly through 2.0 revolutions/-(+c/ fhbyb+ a mtsbx o 7t(.toy.qzc in 4.0 s. What is the average angular speed of the yz( .f xbq+ -tt/h (/+ 7cyst.mboocbawheel?

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 rotalfs+; fw y+0g btq(pf0tes uniformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 b ;+ tfsf0w +fgylq(0pm from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skie2ul3+ pabuqk) rs a 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 tuq 3 +plbu2k)ahe 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 rotating with a ctwf6o a cbvwt7gx4 rq3-q,8;wonstant angular speed of 2.0 rad/s. What is the lin wb- vw f,qwq4tcta3786g;rx oear 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 cutter is 0.16-*3ar3w.q6mkjeg 6 s,whu d hd m in length. If the motor rotates at the rate o-w6 m6gj, uds 3hhe*d w3.arqkf 20 rev/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 constans ;ett .3p hovc.34azmt angular speed of 2.0 rad/s. What is the centripetal acceleration of a pointz.v 3eahtp;ms o.43c t on the wheel's rim?

A. $0.50 \; m/s^2$

B. $1.0 \; m/s^2$

C. $2.0 \; m/s^2$

D. $4.0 \; m/s^2$

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45#

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

What is the centripetal acceleration .e1tbh 72ee2tl ezbo/5bu4za of a point on the perimeter of a bicycle wh hb15uzb7. l4a/tezeoe2 be t2eel 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#

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

How many revolutions per +5exccin) 7*av 6ah)+ pgtwr,xgxe 0o minute (rpm) must a circular, rotating space station (r = 100t5* en7)g)oxcx a ,0iv6+hgx epa+w cr0 m) 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 50k *ykh 6za2p-i m with a speed of 20 m/s. The maximum centripetal force (provided by stakiay *z p-2hk6tic 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 5fs dmp8kbhl*2 1 w;9oubgf.n/0 m with a speed of 20 m/s. The maximum centripetal force (provided by static frico lp29/nd*b ghuffm;.b k18 wstion) 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 e v9c yvhp( afm1:t-ds0xq 98tmr6n e;knd of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the - ;hr nd0 tvats189qex:mfy9k( v6 mpcstring 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 s4yua9 9 0khm tg9wb0dnlipping 10 m down yk9gd9w4h 9uamn0 0tb a 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 constk5r qrybd9ew (w.0/xwze jmou-5u z0+ ant 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 withg.vc:ermj q zuu,q)57v 2dk;xeq66 rx;zan q. 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#

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

How many radians does a 0.300-m radius automobile t; gg;d51p zqxeire rotate after starting from rest and accelerating at a constant angqd;px5 e1g;zgular 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 angu 4i w-yig g170e.ugccilar 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 radshnt; /g2z7b j/s decelerates with a constant angular acceleration o b72;g/shjt nzf $-5.0 \; rad/s^2$. 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 reaca5 5yyi9f*k clhes an angular speed of 6.0 rad/s while turning through 2.0 revolutions. Whkfc l a5yyi9*5at 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 unifo(2t3secd/*n )ea im, yrr n0nhrmly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolut 3,tn nydn0 hsr)c(/* ma2ieerions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest overm*x6z;b,iri k;8fh*w 2y jxbw(3ne st a distance of 115 m. What is the angular acceleration?(s*6x *8hymen j,3br 2twxfzkiw ; i;b

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 uni,ah9sgx 78 +ok nkirt:formly from 8.40 m/s to rest over a dii xor,:k98n+thk g a7sstance of 115 m. How long does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rea1xlu;emsm(xk 3 v (*lv/min. When switched off, it rotates 50.0 times at a constant angular acceleration before x(l 13eu(; mv xmsl*kacoming 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 tightening3gh usccvct4 l)5o q6+ to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force a+sh c)cg6cu5 o43vltqpplied 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 inery k qvw1u/m-+j(4/2q nznzz3pu5 oakdtia $3.00 kgm^{2}$ 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 follocwsp0da. 6*ivgdu: c3 ws: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia pd.cvg6s0wa*u dci3: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 1 m; i5dh6i.g jnadl6g70 kg is pivoted about a frictionless axis thought the center O. A ropii 656mghald j;gd7n.e 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. (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 fric xs broeypf7uotm7uc gk/ 3m7a*5/23btionless 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 =2s5yt3c f ob/omk/7ubmx7p3are* 7ug 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hingcly.homeb a5 a y2z7 j1;v9f-ded at one end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is MLcy-9aym o1aed2;zlj fb. vh572/3.)

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 massetq7s,b +t:vfp* gx) u-4 pcos 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 sp xt+7fst)s:cb4uevp- qgo*,, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a fricv.1d zi im3mqv/a+/v z h9rv2 lq9c.g6bmayv(tionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acc2vvam3v a+.9m y6vbv/i 9qzlrc1mdhq.ig(z/eleration 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 wrappedm+idd. p1y4 zmx9ph* )khc0z l around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cddz . xk+40z1ml*ciph9) hpym m. 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 energemv9l4pv wnguk34wyv92 a 69zy. 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 inertia ofvanx0 89rcy) zg;naw: $5.00 \; kgm^{2}$ 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 ro 5tq5fhs3nev9+n c(2ak; tr, w*iscta lls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bot5f+9h,sati 25wcn3 ;qevatks(crnt * tom 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 radius9od+cvan(esc,: 1b ak d ;n/5soscv0s 0.010 m rolls with a speed of 10 m/s. How high nc(:ss0 ve+avo9;cad,dokss c /5 bn1up 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 kbi(: +cf .jldkwu )4lwg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.w.kwiflb: j4u) (+c ld0 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 qox :1ky5 wcdv +o,4rgradius 15 cm rolls without slipping down a 35e incline that is 7.0 m long.1g4wrkcovq:d +,o5x y 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 db)r :t(a9reqby $20 \; kgm^{2}/s$ 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 momentq,a fjp4u/+ub qsw +(x :gdri8 of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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A figure skater rotating at 5.00 rad/s with arms extended has a moment of ;afl0wx(l j2 9 ayr)peinertia off (l;0aw2elrjyp )9x a
$2.25 \; kgm^{2}$. 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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