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

1#

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Angular displacement is *h6x 9 o/yewavusually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed i0u mpr bnwcyk*8d.h; 9x17bqe n 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 expr 4ds 7/pgt jpbfhn3p5,essed 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 turning at a co.w6h8* dd( ed mf(qdgqnstant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacemend*fe m( (qg8d6h. qddwt?

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-ge.gx 9 kg))bdt( to6llb0f4 ijo-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to t(jblt)09gkxd b)g6il .oef t4he center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is pei i35-c9 hdwturning at a constant ra3wd5i 9 phice-te. The boy is near 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 myga0--c0r e xrerry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to th-a rr ex00yc-ge 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 h:*oq vrqk i:. cu)d g+kn9 moonz((h/a constant rate. The boy is near the outer edge, whilzo(/v 9i+oqk:m o)*h:.q cuhd r(gn nke 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 z gan2rfxg :.r u09to dzt)k;t4k4 uo+is an accurate statg xu94d2;0u gr ttr)nfoa.z:zk+ ok 4tement?

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 depeyi:ux1tnawo8y;2 4u2 mox-i pnds 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 kkpoe.w )d8s*to a door. The 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 door. Which force exerts the greater ws .8 okdp*ke)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 force is as dcu -lkg-5d3yd 7*ikcmr6*qpplied perped7qi c5-6* *dkr-kd3uclgmys ndicular 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 doors2 egpre o58o5lb4)ef ua xrt3v2o64k. The first force is twice as large as the second fos e ob6or5u3)r2 v4l85 gteae2xp 4fkorce. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistance to changes inzlxw7mzn,,tm cd /2q1ebt;f ; rotatio1qb;z,xzm 7/ m,t edfncw;t2l n?

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 dif0xd /tv4gyq,6voks/ e5 hql0fmt :9l ameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smal 5 lth:ystq,v40xfmd0vkqe 6/flo9/ gler moment of inertia is

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16#

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Two uniform solid spheres have the saldapnz 2(08;h7d elrme4q3lb me mass, but one has twice the radius of the other. The ratio of mp a 4;0 rlzlqh2bd3ee7n8dl(the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres wupag d.5z slu *6e)pw/here one has twice the mass and twice the diameter of the other. The rat l.*esd/w a g5up6)pzuio 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 r*.vb-gen6kl+ww4fu4 nuy 0kd ; tx5jeadius R. If these are increased to 2M and 3R, what happens to the sphere's moment of inerkd .ke6x l* euw ;4n5j-gnvuw0t4+ fybtia 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,zgdyv2f 60fj*gk+k qnu)x-n ) 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 ol;1faq9ws tis4; l zj:rj7 rdg hk*7+vf a solid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its l*a +qvg7r7:;j9fzr tsjs h 1 dikw;l4rotational 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 kgaxmz ld).tw 7v(8nx0n, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotation znd x8al.(vtn7xm) w0al 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 n/;znm(e9up k6; c+*h zmz g 7xl m3nrbm0*iljwithout slipping down an inclined plane starting from rest. The lin r0 9cpumg + x(7l en6lhk;b/*nn*;zzm mjiz3mear 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 mszehw 2azucnn 83z,-w0 q+ c;oass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the spherucw3;a -nz ehc ,snz0q+woz82e 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 change:2 hm(+aw e*u7q pqpcvs when a net external force acts on the system.ve:w +ch( mqpp* u2a7q" This statement is

A. always true.

B. never true.

C. sometimes true. It depends on the force's magnitude.

D. sometimes true. It depends on the force's point of application.

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25#

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In what circumstances can the angular velocity of system o ycpql,d823qu ;igt; df particles change without any change in theylqqdp,d;i8c u3t2 g; 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 Sun6z(ma(5 ucwnu in an elliptical orbit. Ignore any friction which may be presenz(mn 6w(c5ua ut. What happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an 2 pka5or89)jq qen(baelliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of tho25np8a qb9 )ej(qka re 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 o;r+f27o )gn 4ymuko wqutstretched arms close to his bodg)m;7of24 q+ nuroyw ky. 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 pirouette (a fast spin) nk;pn -f8bg l)cg8.dmby pulling in his outstretched arms close to his body. What happens to his rotatig.;lp ) gmdfnnc-b88 konal 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 outstretch5riglkfi ( ,g- k/vv(5x0f kyhed arms close to his body. What happens to his moment of inertia aboutffgx0 5k 5 i,hvi-(kv(/klgry 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 conservation uxc4uyd pl:4e 4r8ck1+8q u khof 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 k69f i;v-jyb(e-2ksd6 ajzab nearly circular orbit about the Sun with a radius of2;-s6y( ekvk-zi fj6 jadbb9a $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.30 m. What distance ai v,we4a8cj /does the tip of the second a c8v4jweia /,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 jo4v4(8pbz7nr *uisj revolutions per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutos6z: xk7wecb *6 vic:ions in 4.0 s. What is the cw s7c6x e6:i:ozvk* bfrequency of the 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 neutron star) emits pulses at a frequency of 0.40 kHz. c 0 gb. qp)c9,ilb;;v0sfigjrThe period of its rotqbpfi009);cr i ; gblsj g.cv,ation 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 45rs68d mm8u6nj dt8b. qre42wa rpm. Through what angle does it turn in 0.20 s?mde bq486m6a j88s ru. 2tnwdr

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 te ab 2njcw:77iurns at 1500 rpm. How far will a point on the outer rim mo2b 7i: ncj7aweve 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 s. Whatzy 5/q byq2u w;miu1v2 is the average angular speed of the wheyw mu5z quq2v1yi2/;b el?

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 unifb 3w9fzg6dgxnuc*4dhhw, ; z 5ormly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from thwuw 4hczg6,d *9b ;f53dnzghxe 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 carrie 3pqh:k7yyz5ca( 5v:3w kbwjn s skiers 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 y3aqn35 (vkhpw: jbk: wc7yz5fast must the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 rj -ks0dw+t 6zktl h/v9ad/s. What is the linear shw+v9 -k0s tdz6kj /ltpeed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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The cutting cord on a gas-powered weed cutterofp 8atzpm6:36anz coo))w2t is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximatetf26t6w ao appc3):8nmz)zoo 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 rk949 lhjientx+*) rhm is rotating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheej xlh)h rk9i* 4t+nr9el'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 of a point on the perspj) uz7,wau9imeter of a bicycle wheel of diameter 70. upaj9w)u,7sz0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a circular, rotating space statij smr4l2be8r 0on (r = 1000 mbl2rre 480msj ) 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#

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A car is negotiating a flat circular curve of radius 50 m w:c. vggsqi) 4j a8.pgyith a speed of 20 m/s. The maximum centripetal force (provided by sg)gcaig:s .8 .qj4vyptatic 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 speed of.y61 4wbqzafp 20 m/s. The maximum centripetal force (provided by z q4 .abpf1wy6static 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 0.750-m string,ok4slwz2 .3ftt -e6ga 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 mass have if the string 2okz3f.at- eg4 wt6sl is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of mass 7.5 kg and radius 9.0 cm robug g3vei49y ja+sm08*bb a7m lls without slipping 10 m down a lane atugmb*+ 3ms 0ej9bb4g87a yvia 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#

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A wheel accelerates wit+ bd ry60ibsisq8c/eb8eyh e .v/8j 6vh a constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constanq/ l9llduyt +7nyx;*e t 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 tire rotat cijv1/da8 lq)e after starting from rest and acc)la8cq dvij1/ elerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at re-klo,k o74*jh3qe z2udvau 9zitpqc *::mz5 cst, and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s deceleraezvn88vjvh 27tes with a constant angular acceleratij nv2v8h8 zv7eon 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#

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A wheel starts from rest and reaches an angurl qgj5vt:y(po ;o05 w z;fj+zlar speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of the p;jwygo0r;5 lz vf+q5otj:(z 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 vb ./gexd* cedqqk eaat39uu7:2pr04 slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel/tuu*7kdq ev r0p3c g2b:49e.qeaa dx 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 red0th4+x tkfl b p3vpyu:hg+ +uju1(yh e0 5q/gst over a distance of 115 m. What is ty:l0 tjvxe+u u3p4h 10+hy /g5uq(dpkh fb+gthe angular acceleration?

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

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

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

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

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59#

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

A wheel of diameter of 68.0 cm slows down uniforpqd1re17 +jnzd)e vs ;mly from 8.40 m/s to rest over a distance of 115 m. How long does s +rqpd1)dz 1n j7;veeit 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 rotationa.5u+ jbwjd1 z*lxe7.if tj- w1nkzhl+ l speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angufb.uz1nk jelw-+7zw*t+ xdj .1hl 5ijlar 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 tifoqxt1zq 1+9n0 sf 1jxghtening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of tx9n1zfs jqt+f 10 qox1he 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 0 75agboasdj6 ul.st2 fms+ g5of 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 tx hk p6qww pl*b62ha:,ez2lwgbc 84s /u8v4tshe origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the orig * w6hb/uqvct4s6l2l488h,kpwa:b eg wz x2spin?

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 frictionngk*5r(7 t2oel4ro jsless 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 k g7e4ljrr(o* n 52tsoforce 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 kh69f w.djei t8g 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 rope 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, 6e.dfiw9 jt8h 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 initiall *hf9z vefem4ie8h0 b;y held in the horizontal position, and then released as the free end is allowed to fall. What is thh iv0e;9f*mf h e48beze angular 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 to be a ring of radius 30 cm and mass 1.5 kg. Neglectr:iq(lof4 . t*sl5rny the mass of the axle and sprocket. If* onsq.rt l(5fryil:4 a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley 10sqhdpzwgidt9:k . 3of mass 7.0 q. dz130wski:gd9hp t7 kg and radius 66.0 cm. What is the angular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a fr- b*:/bkrm lkh0igp2 cisd;4bictionless disk pulley of mass 7.07 kg and radius 66.0 cm.l2 birb /is :c4kdk*ph; 0b-mg What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store energy. If it is requi2.6yir tj .m)sl0sbwjred 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 inemrj f0,6a4pd gkj bu ,5xw0ii2rtia 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 radiq z/*l.+pq. of td2swius 0.010 m starts from rest and rolls without slippin2zs.df/l . pwi+qqt* og down a 1.0-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 1.0iyw2 nh9cqy2 zwve,4uq,nmu fl*v7s9qb5 h.8 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb2 .qsnuh5 il,v,q7u9wnf 9h w4e zv*8c yym2qb 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 from rest and allowedr s)h1ou 1;hibmj ,,tohg,u 42qto w4d to roll down an inclined plane. How fast is it moving after dropping a vertical distance t ,,w g4qjh4,o;) htriumduob12 1oshof 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#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without slfl z1aernog)) y4nng0+ 7( ihjipping down a 35e incline that is 7.0 m long. Assume it started frg zh n )ienly14g7f)0o(jna +rom 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?

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76#

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An object's angular mfv 4w(2zarl uwd*j.cqk (:xm /omentum 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#

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

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

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

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

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

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78#

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An ice skater has a moment of inertia *c(wx2shh+ e 7rhtq/ws7h4vlof $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad/s with arms extended has a m:eys9q c,rn 6loment of inertia 9:lq6nc ,ye srof
$2.25 \; kgm^{2}$. 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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