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

1#

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Angular displacement is usually -pd-mic q ev xvvqo5k3wr-1e 4-,yro9 express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressej;urm9 nr7ne*w0c.2vu bmcn 0 d 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 accelerationev*wusb/ 4+ec 7 ,saqv is expressed 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 on a merry-go-round which is tur zz*nztf8,w4vc 4r9r58 tjk woning at a constant rate.wvknttcr z58zw 4rj* 94,z8of The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round which is turning at a consta:8(wvp;avrx q nt rate. The boy is near the outer edge, and the girl is closer to the center. Who has thx(p;:qw va8r ve greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turning at a contcwnrig q,y rs0z*zr*90 dk8:stant rate. The boy is r r:ysgc9,8*zwktn * 00idzrqnear the outer edge, and the girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at a constant rxw6sppt9g:-tygp0 v 1ate. Tv:sw0t1 g6ptp9-ypg xhe boy is near the outer edge, 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; .gke ew2f1eu a constant rate. The boy is near the outer edge, whi1ew f2uk.g ee;le 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 body5tupg39: va 0sfeo( ji that is rotating. Which of the following is an accurate statementpo:s i gfu5t(03aevj9?

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 de1uwwkk6o,3 cm/ef; lbpends 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 first force is applied0kd33i++nlycxl m37xieh) xx 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 greater torque?deh3+3 3 0kixxx x7 nliymc)l+

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 dooro umba,r w: *:,kap5bj/ndh;r at the doorknob. The first force is applied no b,j;*mb: ha:kpd ,5awru/r perpendicular to the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. hrz/x0wx a+( sThe first force is twice as large as the second force. The ratio of the torque of the first to the torque of the second isswz/ r(x+0 xha

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 objecijkb 2,1 avttwu3 m.jq(q u6h naa.g*-t's resistance to changes in rotatiq gv-utj1*k.aunajb 2im6 3 (qwhta.,on?

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 same9js t)hc lj8s ;fp 2did95n 4xxo7xmg0 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 itodcsjx 9 8hi9xgm)d20 7l sn4xj 5f;pnertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice th-g* wkbc;l3, tw*qhdg ci9t6ze radius of the other. The ratio of the larger sphere's moment of inertia to that of the smhd6- lcz *g3wgi , *9;bcwkqttaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform s,misy(dhkhep hi*m 7.3u ;7wtolid spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger7 ; ,h.ympdwk(tue3*7mih sih 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 anl p q.dobi5)(4lc 7r elowo)f+d radius R. If these are increased to 2M and 3R, what happens to the sphere's mooeo l+( p)q7i 4lc.bl)wfd5orment 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 objec0 +hq7iehy5 d7gk 2bxar1,ywdt, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder a15 4biegi,z jxbout its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational 54i1g e x,zbijkinetic 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 of5dmtfk6*u:rqrl 0 x .v which has a mass of 10 kg and a radius of 30 cm.r fxd:6 m*vqtu.krl50 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 wit i)ohod 6h8*0wqbmm.j hout slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline dependshmh q)*wdm.b 6 joo8i0 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 slipping 8okbpc h/fc/6nqq) p;down an inclined plane starting from rest. The angular velocity o8o)/;hqpb cckn f6 pq/f 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 systegeewu8f9y 6 e5yqxs3-m of particles changes when a net external force acts on the system." This statement is-x 5feye68ge 9s wq3yu

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 particles chann ::efz.ff -rgge without any cha . f-::enfrfgznge 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 Sr +b/76s,cajhu p4ps yun in an elliptical orbit. Ignore any friction which may be present. What happens over time to thehs7,jbp6sy r cp/au +4 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 in an elliptical orbt4hb1,t 4 eq,t t,rcji/k;jm2 nf +aotit. As the Earth moves close to the S14 qk+ct,h tte mjbo ;4fnrt,/j i,at2un, then which of the following best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstretchedt-kq 4-u 2ulnk4isk 8z arms closu-s4 tlik z2-knq 8u4ke to his body. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouemb j)d1+p4x czvh*t3z x(i r8ctte (a fast spin) by pulling in his outstretched arms close to hisdr4 bjzi(1 xtxcz hv8+c*)p3m body. 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 oust)73cdcvo*vq;ms eb/- 7oorpl/k4 r tstretched arms close to his body. What happens to his moment of inertia about eqdrrvs)sl/7;/4-*ovb tcm 7cko o3 pthe 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 conservation of angulac( o pu:rucl7w 0v.uc,r 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 sbjg--lx d- 6*um4zr7t3 klfbperiod in its nearly circular orbit about the Sun with a radius -l bs476u*fldj-rbm 3kx -zgtof $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.30 brk:k 6kxv .*.4raip im. What distance does the tip of t pax6irb. .:*kriv4kk he second hand sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolu9rft ,zs 8zi iq,9ju0gtions 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 uniformp 0 3uh.+voy 0+s l vshj1s4r,spmfur;ly through 2.0 revolutions in 4.0 s. What is the frequency of thvy rsf r s0+o+v m30s1j4ps,l.u hp;hue wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutr.qh )h(dy uu/ nu*y/skon star) emits pulses at a frequency of 0.40 kHz. The period of its rotation h*//unhqk u)suyy.d ( is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Throkdu- db+u9(lnqr:bv4ugh what angle does it turn in 0.20 nd+9:-dk(bl 4ru bqu vs?

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. xo;hps:qk,d /nf(b5 u How far will a point on the outer h/x,sdq(p; nbo kuf5:rim 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 in 4.0 s6ojevq )/ cq(d. What is the average angular speed of the 6cqv jq e)o(/dwheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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A bicycle wheel rotates uniformly through qpow +*3dw7* t l.ppwg2.0 revolutions in 4.0 s. What is the linear splqwpgwwp+*p. dt7 3o*eed of a point 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a disteq2*xa1 u pvcp0)iq /th0-fuoance 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 pulleytq)0 -ua10p*i/fxucqhpov 2 e 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 fup :71bmvlyb3c+d l0 m is rotating with a constant angular speed of 2.0 rad/s. What is the 3vbl l+m:f0y dcb1u7p linear 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 m in length. If the 6vavg /2y )p zya0. an.fww+iomotor rotates at the rate of 20 rev/s, what is the approximate linear speed of t v a aw2i6yaz.yn )vwgo+.0fp/he end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular spny ol9f25l3tcr,5esfe0 (sxv eed of 2.0 rad/s. What is the lc950,yv o f elsfn23(e5 tsrxcentripetal acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetal accxdz3/;upnxod 7t (q9( kme -xseleration of a point on the perimeter of a bicycle wheel of diameter 70.0 c(qxm( - xu7dokxsn/ zet9;p3 dm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm) k39:jn7qmxdigs8gwlq 0.b+o must a circular, rotating space station (r = 1000 m) rotate to produce an artificial gravitj. 8dgo+ksi9b7xmnql w0 q:3gy 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 negotiatingwjy2(yvx3w(opf50 mc a flat circular curve of radius 50 m with a speed of 20 m/s. The maxip3v2oxyfy( 0(cj5m ww mum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

A. $0.40 \; m/s^2$

B. $0.80 \; m/s^2$

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

D. $8.0 \; m/s^2$

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a sv2 h+tw8ue:ud8 quyq0peed of 20 m/s. The maximum centripetal fo8qvu tuew y0 8+dhu2q:rce (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#

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A 0.300-kg mass, attached to the end of a 0.750d6sw;9j .14 q rtl guvyvwzf(9-m string, is whirled around in a smooth level table. If fyv 4swwqzv.6d91(g;t l9uj r 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 7q gjw f j+-4gfkig4x.9yu2h1 l09hyjm.5 kg and radius 9.0 cm rolls without slipping 10 m down a y4fq01fw 2 mg9hjgxki.+hy-u 49jgjl 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 anguka f m4bjbe4n06um4 5jlar 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 accehlv: w,bihb /-leration 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 0.30: hvq0msm.9 bkm4z cu00-m radius automobile tire rotate after starting from rest and accelerating at a constan: h.s4mbv90mkq0m c uzt angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an angular acceleratioo /y(o chstt9(+ben,u6/khs tp)d +fwn 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 rotatiu,5d(lla 4n qsetw8t s r3l6;sng at 20 rad/s decelerates with a constant angular acceleration strasqe5ws 4tn6l,8 ;(d3lulof $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s w * kd43atf8n as9ha0hg: clc,6gz1 kjmhile turning through 2.0 revolutions. What *8kncgk:lca640a 3 ,zjt d9fsha mg1his 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 y4f3rpg(ep*r cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the totalfg 4pe *yr(pr3 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 o g nz z);xl9,wrfs/.uyf 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the g rw.nz 9lzfu ;y),sx/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 ds,cb6/nx ah,fown uniformly from 8.40 m/s to rest over a distance of 115 ma xh,6fcb,s/ n. 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 laborator ( qimsvgkq.r(16l w .d)y6qks d1eh6g7rw 8ysy rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 5)wge((6l6d r71sy rqivq w6hsqy.dk m g.ks180.0 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 t2a44t 2; gs;nlpp u)sffphg* bightening to a torque of 90 Nm. If a 30 cm long wren f pl4s4; hb2p*pagt);nf2 gusch is used, what is the magnitude 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 oy:r+unz g,h6,vru mh +f inertia $3.00 kgm^{2}$ 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 theok epu* 37owl.ta-i; s 4a+utp origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of itsel3pia. p*wto-;4ao uk7 +unertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thoughebtlfc avr)1:kzj )4sv:/ r-tt 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. (See Fig. below) l) k)tz c:1be:arf/4 vjs-trv 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 1i517v4 g.mi6c9hfsz0+ewfok.blpu1 g 4iu c q0 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. A second rop7.mpi1kfwq4l1 5c sf igo0i4ev. z +9ch ubgu6e wrapped around another section of radius R2 = 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 hinged at one end. The rod is initially hrtzgq:d+hld-mlmt 2f /v,,:n v v 2;cxeld 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 /:l ,qt2ml ;fgm,x rdd:-2+htczvvnvmoment 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 mass 12gr*x71csk scft rf); .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, what2f1r f *s7s)xgck; rtc linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pull0jgeitnuf7p k1 sfek7-9 5q ufa +9/wqey of mass 7.07 kg and radius 66.0 cm. What 7kw5uqf 7 1 faus+etn -fkj0qg/pe9 9iis 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 wrapped around a frictionless disk pulley of ma( 12n7 ifm7nyybxs -u97 g2cxmhbsqm(ss 7.07 kg and ra 2mbnx7 ms9qcn7ih(u 2s 1x7b-y(fmgydius 66.0 cm. What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to st0(*ibv :d mazrore 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 inertia of c1 1rl gc2(gwr$5.00 \; kgm^{2}$ 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 rollu 3af4ht 1vs3vs without slipping down a 1vsft3vua13h4 .0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and +n;y+ielml d d;1n/cv radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane ccn+ ; l;dvil 1dm/e+nyan 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 is released fzv80q4-xfa )s3k zzp( d*qbdlrom rest and allowed to roll down an inclined plane. How fast is it moving after dropping a 84)dk p*-0zb zaz q3(xvfldqsvertical 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 rolih5uc f35fkj kjv215e d y;u,qls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inujd;u5h1k,cqyje 2v5k5 if3f ertia 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 momen/e(op u yq(se*p. *cwftum 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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Mark Problem

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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Mark Problem

78#

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

An ice skater has a moment ozj.;8cbn3o-, jprm :gv o+misf 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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Mark Problem

79#

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

A figure skater rotating at 5.0bar9*n ,f *qfb0 rad/s with arms extended has a moment of inertia ofa9**rqnb f ,bf
$2.25 \; kgm^{2}$. 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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