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

1#

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Angular displacement is o h 493y, (pap1z/ )uoydtslybusually 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 )yfamiqbv oflwu/aj -4u0h1jdz,1 3:mae j/ *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 expren 8a;ea94dibd r) /8z19ft kh/sadnbk ssed 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 const46sn)5xtnvp.k q3s3cm u arh1 +9b 4ftkxry.y ant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?4s xuq3rbt1r 45m.9) a6cynks.3kvn y x+hfpt

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-rouni2y8b0htl *d qd which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has thetb 2qy hil8*0d 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 turnin o2pf( osehi,b+a x20bg at a constant rate. The boy is nearfb(ih2 poaob, e02xs+ 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 g c.r t mdd9dwv*:jc/;rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetgj;ccm9wdr/td. v d: *al 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 turd 1*gpx-7 wmm.i-yui cning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the gmwicp1 7x*ud- -gi.y mreater 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 rotatixe7lb wbp( 7;rcdj)hyq08sm) ng. Which of the following is an accurate statement7 xbs(peqj blyc;) wm78d)0hr?

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 dependst 6udx(:jfuiy0o ,l7m 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 2.eutrm .lgp b1jag, -h6ciu 2first 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 torqa16-t..c2l,jgire 2p mb gh uuue?

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 acb 1pwvit13f)zj k5i1t the doorknob. The first force is applied perpendicular to the door; the second forcezcjib fp5v1k)3t iw11 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 first fp 8h8p+07nvf3hr4cm w( leat4 qu j2bforce is 4h8fjm +8hwbfan3 q4p02(7cpeluvrt twice as large as the second force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistance to ccwda p0ju* a4 m+lr)3fhanges in rotatio+alr3u*da pf4c0w jm)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 spherv cb85f jq-1jtes where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smalleq85f1vj-tc bj r moment of inertia is

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16#

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Two uniform solid spheres have the saentp s+9o1-s cw8pqryur 3p7 :jom)-sme mass, but one has twice the radius of the o+89pco:u7)rwmj rqe pnt-spsoy 3s1-ther. The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and tp( tz5rw4 hcxz+2ete /wice the diameter of the other. The ratio of the larger momex( /+4t52ztzehcr pe wnt of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphes3y k(jjt y)-rts7 s-pcxus:k*6 l -lrre has mass M and radius R. If these are increased to 2M and 3R, whapk:-rttulks js*r-( 7 yj6s lxscy)3 -t happens 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 appliedce:we0 aryr x kvz)) /(.kowhq0-s 6ri to an object, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylindeen + *r4s,gpcdj3cs7jbh /0lp4c jii3ggn f 2(r about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energ,r4p*s+b gjj2 c( l si407c /ipfn ghdgc3n3jey to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 1pp1i i*; mkot)0 kg and a rato*1;ii pmkp)dius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without slipping 4laos )ze; )ib3sj/el4w (zac down an inclined plane starting from rest. The linear veloci)zj ;ss44 lb(e/icwo3a lae)z ty of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without slipping*afu8yt-/3 vynl2 o8 fgne ll4 down an inclined plane starting from rest. The angular velocity of the su-y8/ taflg n 4ello2n3v*8yfphere 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 we e(zqc ji57(j3ce;caa w0n6particles changes when a net external force acts on thei6ecazj e ecjq7(3( 0w wa5c;n system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of particles chanr7 xgrahqq4x/g2 68mtq8c: kxge without any change in the system's agcq8 8: r7xkaqm4r/thq26gxx ngular 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 friction which mayroo1y c 9)jwnvxbb8,gj p8 5k- be present. What happens over time to the Eart b9p18 jo-by8nog,5 )v wxcjrkh'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 inge0a/ 26 jod0s/ja n)6 oup xpfw m3d9ku6b3md an elliptical orbit. As the Earth moves close to the Sun, then which of t/f09 j 0nam3u6 w)j6 k 6o3ddbxpudpmo2s g/aehe 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 pirouett+/+epqb (ac d :qz ,ddc88j ofm9zx4pze (a fast spin) by pulling in his outstretched arms close to his bodd+ 8adebz p ,qz/ox 4mc 8cd+zpq:f(9jy. 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) by pulling in his outstre97avc dgh,5 hwtched arms close to his body. What happens to d,a gvwhc759hhis 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 (q /hk+adba7cspin) by pulling in his outstretched arms close to his body. What haphdqa7 bk+a /(cpens to his 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 consed*4m 50wq *smoh,z hsagb:) cervation of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in v .*lm*oka mfunhc2,yk t.vq+x3)q d5 a three month period in its nearly circu,f k)v d* n*q5xhltkam+yu.mc2o.q v3 lar orbit about the Sun with a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.3z1k65tq e1ee h qmh2l;0 m. What distance does the tip of the second hand sweep throeq;e tm25k6lhe hq1z1ugh in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minute*1 9lz l eedt-d n(hywn.gr9y5 equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.oy 6 4wcfn:nhp/h(,0cwy0hdn 0 s. What is the frequency of the wheel's rotation/ny4:cw,wc0hnnhfy 6p odh 0 (?

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. ) 579/3hbqfw+ukvko u gdwr)h5zzg v;40 kHz. The period of its rotation +vqkrgzwk )o9ub ;/v5 f7hw)gzdu35h 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. Through what angle doet.9icyx6r+ e(wetz ;)v8 w o,;zktrrxs it turn in 0.20 s e kyw (xr;otzwt+v ; ir,.986cterz)x?

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 wx o+ eo6*rm)jxr4,8 ghfoj dy-ill a point on the outer rim move in 2*mdrjo8f hxj6 +egoyo-x r) 4,.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 inalw4/) :)luvc( widjr 4.0 s. What is the averw w 4:jca)ludv)rl( i/age angular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. Whatt4+ies mr+5kgdk*y ts6+o 4e o is the linear speed of a point 0.10 m from the ce g +s5is 4e6o+t ye+4drt*kmkonter 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 distance of 6.8 km. Th+hgh87 hc5xm6yk )v sie cable which movesikm865)h c7h sh yxv+g the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 rad/s.y/ jws v:r93paf3kv b- What is the linear speed of a point on the wheel's3/vf-3kvj:sp b9 aryw 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-powereflxby 2)v q59xd6f2n2 rib ss5d weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear s59xvrq sbbi2l sxfy 26n)52 dfpeed 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 cob)c2,m j) uvlb:kic-snstant angular speed of 2.0 rad/s. What is the centripeb)2i-:kl)jc,vsb m cutal 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 acceleration of a point on the perimeter of-;9+yc,rlz mji dlt7gr7. wpg a bicycle wheel of diameter 70.0 cmdg;.wgiz+jr rm -c 7l9 pyl7t, 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 s xp,vt 3n+ k)w;8wwalper minute (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce kaw+xt,nwv s8 3p)wl;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 50 m with a speed of 20 a.5c4)iwagmt uq-cfv4h x-1 pm/s. The maximum centripetal force (prtx5-gpqu 4 1-aw4vhif.a )cc movided 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 5 z8butd,p )w1z0 m with a speed of 20 m/s. The maximum centripetal fodu) zzpt ,bw81rce (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 0.750-m string, is whirled around in g, r4u)kyf:tza smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can th4kzr,gt y)u: fe 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 slipping 10 m down0u5q b b db r3vuu;)ov/;pzm:m a lane at 4.3 m/szv: mo /q;r5db ;u03b)pmubvu.
(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 withg7fl97h ou3l v 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 constant angular aanet2pmp :5i )9cst)h9+z okxcceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m radius automobile tire rotate r cx-(7ekckv my+ 8kx3 i0dsn5after starting from restck-3 xr ki8nsxvk d+(yc0m7e5 and accelerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest,f x;s7fjyn+z)zw6 2u pm/q 7sl 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 rotatingwmkbwg4a9 r+( at 20 rad/s decelerates with a constant angular accelera+ b9(wkrgw am4tion of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest amx *l19-dbut ymchz45z /zuu:nd reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular accelery dul czu 5x/mmbz9uzt1*- 4h:ation 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 slow a2-9tbsiml 0ns down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates n0-b 9 iat2lmsin 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. s ru;vbx2dti klk vw3485w)f4li-lt+0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular accelerat i dk48k+u; 2rlvsxwf3vll 5tw-bi4 t)ion?

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 downjk9yitc 5 5t.o uniformly from 8.40 m/s to rest over a distance of 115 m. How long dyi 5.tkct 9o5joes 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 spee9y 9tmg9cq)b8+kk(bmzp2 oun d of 3600 rev/min. When switched off, it r9mc9bo2(g )m8k9ykupn z +tbqotates 50.0 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 tighteni k -mzd1g+isu 3t3*m/p(a wm,8kdncbeng to a torque of 90 Nm. If a 30 cm long wrench is us+ kbcasgmk( uie8*w/ntdm mpz- d13 ,3ed, 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 of inertia;cd i y0mxqs)) $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

A. $0.857 \; rad/s^2$

B. $1.17 \; rad/s^2$

C. $3.00 \; rad/s^2$

D. $3.50 \; rad/s^2$

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63#

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

A triatomic molecule is modeled as follows: mass m is at the origin, mass 2m i*3yy(xlhtl d0s at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the origi3 ( hyyd0xltl*n?

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 :v-ov.ry0tef kn w0 *uis 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 re*vrk.:w vfuo-t0 n y0adius 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 frictioson/.0(tv3 tp2lxj o tnless 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 anoxsotlt v pn 0/3tj(2.other 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 ejhxw2p/g 5*q 7- g +jhhywz54qtg9itend. The rod is initially held in the horizontal position, and then released x gyq 9z-e4j5gth7i+5j*ww/q2 ht h pgas 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 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 kgy)u:e0y ,gbov. Neglect the mass of the axle and sprocket. Igo:uye bv) 0y,f 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 wru /960cyfr7b2aa f 0b kndzzp,apped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration oz p a 6,k970bffur2yc/zd0anb f 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 diskv v41 oyovt61o pulley of mass 7.07 kg and radius 66.0 cm. What is the vt1o vv4o61 oyacceleration 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 (mk /dke* s- 8tjvkt5lstore 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 idw-p(g+;p g* ojr uylkk -m1l)nertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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

A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and rotb mif:q ,y- f;/hsi1h2k0uqqlls without slipping down a 1.0-m high inc/0h ih-qtkiufq1b,mfy 2q:; slined 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 radius 0.010 m rolls with a spee edn+2h mc)xc(uk+g9m d of 10 m/s. How high up an inclined plane can it climb beforehc u)2 mcd+k(mg 9+nex 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 allowed grn58ad jonwz. 71 -;tavqcit7h5/jq to roll down an incline gh8itwaa.nz1o-qv/nrt5 ;qdjjc57 7 d plane. How fast is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.5 kgijik+6q tn.*lt02cttyi ,4ve w71nws and radius 15 cm rolls without slipping down a 35e incline thit n4vtt2t +jy .il*s6,i w1cw7nke0qat is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

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Mark Problem

76#

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

An object's angular momentum changes by qx s7 .gps(ionrb.,y ,$20 \; kgm^{2}/s$ 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#

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

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

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

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

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

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

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78#

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

An ice skater has a moment of ine n:e jtp vl0rd-ui*;o9rtia 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 5.00 rad/s with arms extended has a moment of inerp ydvwd5l(og:9wk3if ,pjh70ti7 i whw(k3j5 lpvgoydfp:,0 9da of
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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