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

1#

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Angular displacement is usuall 1,rp3,o-k :rizbpfgty 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 is0zzj *ual d7(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 expressed s6cobdkm 7v*;6xmv6,oapm1f 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 mepa; nrsm( zcw9+r a4tvh :( wulv:p/o1/jb)j crry-go-round which is turning at a constant rate. The boy is1 /v r wubpp;hc:a)/zc(94( +lwamtjvjons :r near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round wl 8/j idilel1c2(z+k zhich is turning at a constant rate. The boy is zl18 ic ile(j2+zdl/ knear the outer edge, and the 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 2lezu lz w3o0,riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear spezlz3l2u0 oe ,wed?

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 constankm zl bl75k c3ju8fe5pv8q5s9 t rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?v5u8ebm9f5s8lck3 p lkq57jz

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 mc(o btho/2 u9ovd7b.v erry-go-round which is turning at a constant rate. b7odtb2o.c o /v( 9hvuThe boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the followingt7 lo eww3hi., hv)daw9w yb;* is an accurate st7iy)l vto3 d.www ;*eh,bhw 9aatement?

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 slippinbe1q c fo7ata sv;wb644vva3+g depends on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The f4cwj1pe6 bo rc(4)pyd irst force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces ad4y)(46b1po crjc wepre applied perpendicular to the door. Which force exerts the 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 applied to a door at tw7bi(* dv49 rd/wbazdhe doorknob. The first force is applied perpendicular to the door; thdbd/z* wir aw94d7bv( e 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, perpendicucaq5) xvxzh9r5;h7hn lar to the door. The first force is twice as large as the second force. The h)97arxxvq;zch5 hn5 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 resis.a:;tzwq / v9n(z+ytfcj1qiuq; 5bmb tance to changes in rotatio( tq:q91b 5 ju+itzf cm;yz/q;b vwan.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 diameter,hh 6w6*x9 qb7 3rdznjs but one has twice the mass of the o6s* dqh 7rwb3j9z 6xhnther. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass,*st()h 7qdiqhs4 9mh(bgq -gr but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller sphe*9-r i4htsh q7 dg()qqgsbm (hre 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 di 6unj)s8bn:. r y.fdzgameter of the other. The ratio of b fsdyr.n.u:n8zg6j)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 radius R. If these are increased tf(q)x) k,0/h zhg ha8daa k,yuo 2M and 3R, what happens to the sphere's momen h8y)h ,aqkz0gfa,kx )/(adhu t of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied tsxlt4o 9g k6v+o 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 cylinder about its axis is givenp/bk mdn+c4+ i by 0.5 MR2. If this cylinder rolls without slipping, the ratio of it k/dmb+p+4ncis 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 uxejl yt*9g3 tp/))it4mue+ iof mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kine4i/iglj p9 uyt*u)3t)tm+ex etic 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 whm s3y+ojd4; githout slipping down an inclined plane styjmh 3do4sg +;arting 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 without slipping gim1mc4i d3mhwvc+8 8down an inclined plane starting from rest. The angular velocity of the sphere at the botto8m m84mg+i3c hi dv1wcm 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 sysw ope8guj:5-dv *q1mstem of particles changes when a net external forceq8: -pveujm15 gdw*os acts on the 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 );g7iuyklp,-rx kc) 9z yyh6 vparticles change without any chan7hl ury6x- z,)y 9vikk cy)gp;ge in the system's angular momentum?

A. This cannot happen under any circumstances.

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

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

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

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26#

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The Earth orbits the Sun in an elliptical orbit. Igyxzle/w 3q0 ;wnore any friction which may be present. What happens ozx;3ly ww e/0qver 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 ;9e s1hv )xzmt*c4 oexan elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting *9xsevcet1 x;hmz4o)speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast5)l.kx7 oc, xhqgwl(27 4g6qxtvfup z spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis of rotatio xfqt2lx,k 4zgu(c7h6p gow )vl.x7q5n?

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 outstretched- )t8 w9rtnjwavs.5 as arms close to his body. What happens to his rota. -na)t95ajrswv8stwtional 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 inhb6 3t50s /kvbnvxa6k;1 kltjlf: f 0m his outstretched arms close to his body. What happens to his moment of inertia about thn6b:x;mk0k ljs1 fvb0fla3hvk6 tt /5 e 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 conserva6vo fhkl96za-81 fer2jayc;ftion 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 a three month period in its nearly n kwzs3wha/ z,30y9u2 exrj +icirculaz z2u0awjeis,9 k3w+nrhyx3 /r 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 0.30 m. k0zw za,*-d3-0pf ,r efzizi yWhat distance does the tip of the second hand sweep through in 3 minu-z 0i30 p, ,karyfzz*wi-ezd ftes 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 minut/o4/hj7z q6mdx48z7 4i;uu auxhdnrw e 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 4.0 s. Wh )8q y(jnqv(jkat is the frequency of the wheel's rotat)vq (q8k y(jnjion?

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 neutro;:6c2p f)8 vnd wcjktmje 7,gen star) emits pulses at a frequency of 0.40 kHz. The perd ,vfw ne8 )t67cek2mc:gjp j;iod of its 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. Throughcyq gejvlvg/x6./2)w.w k h 0p what angle does it turn in 0.20 s eq.cw jkxp6 l0v2g)hg/ /.wvy?

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 turns at 1;9bg 37 qaabvb 8c.kic500 rpm. How far will a point on the outer rb;b b3 9ckaai 8qv7cg.im move in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. W,zq(o1:hv)30vxplds ll7n i r q38e1udcqz; ihat is the average anghq riu0 : xq3,8vescl lo3;1 d(lvzn7zqp 1)idular 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 uniformly through 2.0 revolutions in 4.0 s. Wjfiov (*,r o) .fquj(that is the linear speed of a point 0.10 m from the center of the whee)(vffjtj(r oqi,*. oul?

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 s4ejm:f )8zep j42 p k4:ej pzn;pddg8jkiers 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 fap44:k:z gpepdjm )j8jpf2 jz48e;denst 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 speedgnj1z( 2vqwqn1rk; 0x of 2.0 rad/s. What is the linear speed of a poiz 0n121wvr xq;kgqj(nnt 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 cutter is 0.16 m in dt:d. ,ub 6ppjlength. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speedtpd j6b p.u:d, 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#

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A wheel of radius 1.0 m is rotating with a constant angular spx9(q rps( 4;3lxij bhseed of 2.0 rad/s. What is the centripetal accele3shr;(p xl4(9six jqbration 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#

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What is the centripetal acceleration of a point on the pe3l(3d+rxdi.ibr aj 0q rimeter of a bicycle wheel of did 3b.+qai3rxljr(d0 iameter 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a circular, rotating space statio32u nxlitx3:h n (r = 1000 m) rotate to produce an artificial gravii xh 33lut:2xnty 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 with a speed +l5 d ;oacutogx-q x3i3w-q4vof 20 m/s. The max3w l a-5 -iqo4cxdx;utv+3qgoimum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radius 50js,s;ttmh r /j-gq4c7 :hi)tlakr 98g m with a speed of 20 m/s. The maximum centripetal force (provided by statict)h:ct7jg/ k ;ssqr-t8i4 m,jrlg 9ha 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 )r1d 8sv8zxakwxvc l5v2;2ecin 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 8lc5d)c e1822xwvskv;ar zvx 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#

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A bowling ball of mass 7o 7s)+qn1 )z51 l; xkuhe fx*vq8lusnn.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 z v+fxqn *ks71x;)8)1 ne5slolunquhm/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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Mark Problem

51#

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

A wheel accelerates with a constant angular acceleratioc9nh / em.dj5jn 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 consny;0m+pml9ismz 4;qil ,den( tant 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 starti 2*gi.pkzphwc: 27xpt2m m a*sng from rest and accelerating at a constant angular accelerawh mmxp *zs *ka2p72cti2g.:ption 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,zb,n q)/6v9f d:xbjxk k)+ils 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 decele: 4qq;vt*i kqxfpc sv04t r:t7rates with a constant angular accelerat4:;xfv4qq0t: it*v qtprsk 7cion 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 xqig .4i:epn ,vn u--zreaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the averagepnnz .xui-:vqe4g, -i 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 ff0nq76kroei.l kg4/) w) f6dqcldq a 7rom 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in cqwqk/agq)o407n iedf f) k.r7 ld 6c6loming 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 b dk02eby9. n7cn-yu 47,w;lhvadevl down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angu4d .la-,kb9 ydv euy 7nn2wh;vl7be0clar 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 x:ctniq ;ns9u c*e g,n,l)pp368.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come i np )g,n:* q l;cxuetpcsn9,3to 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 medi- q 8rvl2fuv4pcal laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceler84v fvu2 -qrplation 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#

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The bolts on a car wheel require tightening to a torqamj d s2ce8 s;e5 2o424lnpyqsue of 90 Nm. If a 30 cm long wrench is used, what is the m2p 4laj28s 4 se5dsqmy2o;ecnagnitude 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 o2t tq :wq nyt-ph)10nrf 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: efv7v, wy4g;ninvf;3 mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x v n3;nf74fie v;ygw,v = 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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Mark Problem

64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thopicw0 *m4vmx3ught 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 downmcx p04m3vwi*ward. (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 pivo;9lzn or3 vgi9ted 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 downwargizo99 ;lnrv 3d. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. The rod is initially held a5uz fsl;(s-xin the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is release5z-lxs (fas ;ud? (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 tv(kx h aq1:j:it9u- ktq+hfl7o be a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applf9t k -tqhxaj( ul7hi 1+kv:q:ied 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 dis 2hrr.p4cz0*ozgw5np8, kvu ek pulley of mass 7.07 kg and radius 66.0 cm. What is the angular accepcpzr gnv*4eh5r 2o, 08.w kzuleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of kp qci;p+vb9llxy ep-2du0 7/yrl(e3mass 7.07 kg and radius 66.0 cmk 9i lcpurp+xd( 3;p y/e 7ql02veyb-l. 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 r yyv:y; s/3(zbh oz89 3jofpiused to store 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 inertd/e nlvkx4 l,/ia 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 radiuswcu(rq.t9q 96v5x5 prf/sv lx 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the spev 5w v./(px95rusqlfcr 6 9qxted 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 kgsv uh 9* pvmv/tynuav5 4f8p,0a klw:- and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can ith klavm v:yt0snpfv, *8v/wua9u5 p4- climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.2ndzaqfpp.z:x83 (+ mm 0 kg is released from rest and allowed to roll down an inclin d(qzz +3m. ppafn8x:med 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 kg and radius 15 cm rolls without slivit3e;x1n q(oiwj.) q pping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a .j(vt) iwenoxi; 13qqsphere 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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Mark Problem

76#

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An object's angular momentum changes daqj-*l74-utmm 1;lf 5h0 (xh ljkgel by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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Mark Problem

77#

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

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

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

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

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

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Mark Problem

78#

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An ice skater has a moment om9 4 on*h1;g;n ldsnlhf inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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Mark Problem

79#

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

A figure skater rotating d6s4;ak8x.xlm-axgjr ur8s( at 5.00 rad/s with arms extended has a moment of inertiaa.;x(s sdkm4-8 l8g x6rxaurj 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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