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

1#

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Angular displacement is usually expressp n4ncm,3 mliu:,* doo in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed i awi hda6cmc)l84 0rt)0y3 thqn units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed 4c8iey,g qk4dhf(v 8rin 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 cosd)s(o9xybx n8u b7m zq 7,sb0nstant rate. The boy is near the osyd(szx8, bq7 9bxb0 )un 7smouter 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 m sw (*7j(bis58avdxwxerry-go-round which is turning at a constant rate. The boy is near the outer edge, and i (x57ab*v swsd(xw 8jthe girl is closer to the 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 whna(dbd0g i8(+jqr0e e ich is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who gid0beden+(8 0qaj(r 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 rak wk(ad y 9,0*pvu1jnqvitz 50te. The boy is near the outer edz0,05y v*nk9q tv k(dwpa1j iuge, 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 ws,g)gp; xu*:kg:yfh+n6hx tq hich is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential accelerat6;uxy) kq*fgpgxg:sn +, h: htion?

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 fold v-wbo .y9,5bxev :0ami /mqllowing is an accurate st5xea0bm/ vyol wd,m:9qi.b -vatement?

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 depends o1gi gt 6nr,gt;oo8a 4u 6bm-win

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 applied at the midpgq rm 4hwrzi8u o*67wnos;06ioint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts tn 4urwwi 86z rqsgi76moo* 0;hhe greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are appliedav7q34tvsm u z)tt: sw93rz5o to a door at the doorknob. The first force is applied perpendicul3raqt)s 93u7t5 vm zwstvo4 z:ar 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. mx tlyd q-(5dghf. p:cz.e6/xThe first force is twice as large as the second force. The ratio of the torque of the first to the torque of the-lpyz( xf.6mt5cx hg/q:.d ed 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 cwseidj-g 6c.1zqj.7 nhanges in rotation?z7.jgsei.6cqn -wdj 1

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 jxt g l:,tu8w( f71v w r/)y,az8tuvjiwhere 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 ) a /vt8:8 ,x i(ujl7wjzru1vfg,twytsmaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice the radius g(d -b a iv/rplv2l xlg*jk83+of the other. The ratio of the larger sphere'sik *2/b3-v8lj grd+v (plal xg 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 twice the dik1vc/ 7 rc2c-ph h.;8 no*aokyr 9tqwpameter of the other. The ratio of the larger moment8k. 7h1th v2*kpn cy rpq9-cac/ro;wo of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R.gcl6z/o ; hh( h3/rikz If these are increased to 2M and 3R, what happens to the sphere's moment of inerti(g6kr h/ 3;zoilzhc/ ha about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, that ia d* vgr*xjq4.0;s85u-talzf j ;vbx 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 cylh rd6vysz( 55dinder about its axis is given by 0.5 MR2. If this cylinder rolls wdy sr6( zhd55vithout slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 1i ga rysd p88vm7m6;.v2sj/ il50 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheelssrs8v;y72. g l6 i/ vmiapdmj8 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 down an inc 61vdhpqz12yhqyft :0 lined plane 6q1vpyt f1:zd hq0yh2 starting from rest. The linear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls wiy3p 6z 2wtn ti)a2k)hjthout slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottonh) 2pakyt)t2z3 j wi6m 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 systm0gr gb3dv3wk 2jibp:5,ef4zem of particles changes when a net external force acts on tk 0 34v,rpi b5jz2 bgm3e:dfgwhe 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 changeot/.m *q:ouig ,wn n9g without any change in/g .on w ,*qgutn:o9mi the system's angular momentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun in an elliptical orbit. Ignore any friction which mao) m1q8sbg9 akme8pu6y be presen)ka1m 6usp8ombge q98t. 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 elliptical orbit. As the Earth moveskcgh)t4h;y /z close to the Sun, then which of the following best describes the orbiting speed of the Earth about thckg /hy;)tzh4e 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 hilzbh(ds ;-sqs9o tonbuh 7nxv5c8 s02 gkr( -)s outstretched arms close to his body. hu dhn;olvsgsz-s2t 9sn 058)bq kc(-orb(7x 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 outstretche.zu3d c-vjl6 nd arms close to his body. What happens to his rotational kinetic energy about t -nu zvlc6dj.3he 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 hip y:2vdaeicy)xx3c plv /2*i/s outstretched arms close to his body. What happens to his moment of inertia i)l*y x/p: pca23div2xe cv/yabout 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 of angularyr m08l3:i8 yzlcc,hb momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a t4 .ebx)i4-zutp2 cj sthree month period in its nearly circular orbit about s j4ute2 -i p.4xzcb)tthe 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 0.30 m. What distui-+(dilm, avx )b g0lance does the tip of the second hand sweep through in 3 minutes and 45 secondlbv 0(- mui)d g,+alxis?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25 revolutize;3 bzh0d+4 jase.rcons 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 h5ej-h (5rzsw2.0 revolutions in 4.0 s. What is the frequency of t ezjhsw5(5- hrhe wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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

A pulsar (a rotating neut(-fvc/g dg lj;ron star) emits pulses at a frequency of 0.40 kHz. The period of its cvl(; ggfjd-/ rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rotates at 45 rpm. Through what angle does itt;mf3 pv:: 5ryannds/ turn in 0.20 s :;r v/adnt3snfyp5:m?

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 will a point on thqas.c4 +u0o ,8uc-c,k kgrjlee outer rj glca +r seu,,ko4.qkc8-c0u im move in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniformly through 2.0 rerks z/n5t,/r evolutions in 4.0 s. What is the averagen, srkz /e/5tr 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#

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

A bicycle wheel rotates uniform ff*t1q/zey 4hly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.4/eftf*q h1zy 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#

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

A cable car at a ski resort carriehpo ))rl*s -kvtunf.2s 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 fast must ov)tslnp*f 2u.k)h r -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 radmbu5:rxz5 b/f/s. What is the linear s u5/:zx r5fmbbpeed 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. ws. abyda85y6wys:pwe/(,kv If the motor rotates at the rate of 20 rev/s, w(d65bsv . yp asy8ew:/kawy, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angulabvyrk7ywk y 6) ::* kbb45kzxyr speed of 2.0 rad/s. What is the centripetal)k 7yb*6ybkb:5xkk wzyvy4 r : 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 accele/l kgos37xw.hration of a point on the perimeter of a bicycle wheel of diameter 70.0 cm wwl oskh7./x g3hen 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 (rp w qn(oxqf/b2b c*4.evm) must a circular, rotating space station (r = 1000 m) rotatenob*2.x/( bw4e q vfcq to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat ci5hl c5fe8m rxpcn1 j-g ll5a;m-caw.4 rcular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by nr-lemh 5a g4ac51c;-x5 .ll fcjw8pm 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 50cg,,py dlzn+1 m with a speed of 20 m/s. The maximum centripl+1ydc p,g ,nzetal force (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#

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

A 0.300-kg mass, attached to the end of a 0.750-m srn/h zu3n:;j(3 pggmotring, is whirled around in a smooth level table. If the maximum tension that the /:3zghpnmgo3u jn r(; 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 7.5 kg and radius 9.0 cm rolls without slippr i7. z2l*lbskt(dq 0king 10 m down asrk2qdll bk* .t7iz0( 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 )so(mt 07s3e8ne ltkvconstant 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 con*mv2t zrt9 .ldstant 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 rotate after startijizcc ooo wf./ok* 7.,ng from rest and accelerating at a constant angular acceleratj.o of/. *icokowz7c,ion 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 ycqp)cd gb6* yi/e65hst, 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:r4t u+-k x5zsk (tysk rad/s decelerates with a constant angular acceleratkks t4x5 k-y+:u (srztion of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an b0q3ve oo0m r*(u8pzn angular speed of 6.0 rad/s while turningq*b8zooun3 00(pv mre through 2.0 revolutions. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s tmltp db1zwri(5 l+a;. f3t o+lo rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in comi+pml5t;rzlw i3 l.b 1f(t a+odng 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 36bd 6*pog2 g.p lzywafrom 8.40 m/s to rest over a distance of 115 m. What is theoyla zpg6d3b.* w6g p2 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 uniformly from 8.40 m/s to rest ovxwsx+bg l8 d3rcc02 9ver a distance of 115c2+0 g8wxd3scbx lv9 r m. How long does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laborato3pgg,p4zr(r o ry rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular accel(o,g 3prr4zp geration 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 tightening to a torquev8)7 kvfv3x/ y8jafvi of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force rvafv /k873 iyf8x)vjvequired 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 inertiaekjuc 0,0k;ur o x.fx9 pxok*oe-i5k 2 $3.00 kgm^{2}$ 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 mosf7l3nki 3qz 3d3j b*bdeled as follows: mass m is at the origin, mass 2m is at x = a, and,qsd ljz *3ki37 f33nbb mass 3m is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 103p2s (tw ic,7ml(hbw nv(,e oq 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 rope wrapped around anothblo( wwt( shm (v723pec ,iqn,er section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

A. $1.0 \; rad/s^2$

B. $0.60 \; rad/s^2$

C. $0.40 \; rad/s^2$

D. $0.80 \; rad/s^2$

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65#

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

A solid cylinder of mass 10 kg is pivoted about a fric,8zi lxs)kt .ktionless 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 xl),8z skit.kof 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 hingedhema.l 8;o.nw at one end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one endhowl.me8 na.; 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 30pg *ysb8 o)poxgt:u/ , cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket g s x8/*pu:ytop gbo),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 rdfrj iqxiiul9; mr7 j5pj9(78 ope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration of the puiq7;7m(j j rirlfup8 x59ij d9lley?

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 friczsraq r 3 /nvev8)tt+5tionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is tha38 +t5nvs)rqtev/ zre 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 energo( ag (u qj2c6/+y7xik 6kkoeoy. 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 inet9( fc4nxo1xju f8y: mrtia 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 radiusjbn)m2jt /)ze)4ff0 ja oq2si 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottomn)a o z4)fjsm2f e/)0t2iqjjb 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 radt(v7v sxi6au 1ius 0.010 m rolls with a speed of 10 m/s. How high up an incl7sxvu 1 (vita6ined plane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass ol /7k+dq ldk 2m.scz *5qhmnuvl/ qnjn, +ej(,f 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast / 7.qkv2du / e+*zn,j,hmlq 5ls ck m+nqd(jnlis 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 kg and radius 1jv*rd:3x df1h 5 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from3:j* hdvdrf1 x rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular moma-4 ;s snt,pknd7rz 7rr; a.haentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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

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Mark Problem

78#

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An ice skater has a moment of ioc.frn9ma t 9/nertia 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 ratik)oettp 5n4y j85e.d/s with arms extended has a moment of inertia ofet4pik 5 t8.jo)t y5en
$2.25 \; kgm^{2}$. 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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教师可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力

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