Physics Unit8: Rotational Motion

1#

Angular displacement is usually ex tau;/ da3bgqm.d 9x9uth+fzuw9/ ec)press in units of (1.0 分)

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is edtyu( v0xy d3(lk 5fm)8aft8gxpressed in units of (1.0 分)

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 i sb);xr 3ubi8is expressed in units of (1.0 分)

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 turnilgm3t6( p ;1 maycx3pjng at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greattlx3p;3m y6(1acpmg j er angular displacement? (1.0 分)

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 whi o(h,p uuf4rz(ps/ 9hfdqb ,*ych is turning at a constant rate. The boy is near the outer edge, and the girl is closer toz sf94/up,drhpyu h obf(q,( * the center. Who has the greater angular speed? (1.0 分)

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 turninl jk2s tnij( v0pl18x-g at a constant rate. The boy is near the outer edge, and the girl lljvj8s 1k2n x0-pi (tis closer to the center. Who has the greater linear speed? (1.0 分)

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 whix hxu/ o-k31b.fp mop6ch 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 centripetal acceleratu 6oxbx3f/1 .opkmhp- ion? (1.0 分)

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 r3+oeam2dhi18 lqfd - :q l8v*yyxyl v3iding a merry-go-round which 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 acceleratio 3l qe2+ xvd8dmi38 q1fvhl*a-o y:yyln? (1.0 分)

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 ro)cebtly lam8ctq( + r .-n5-eytating. Which of the following is an accurate stata n 5beq8yt.+- e m(-rt)lclcyement? (1.0 分)

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 slipp;j1x k3i4l*dje( 97vycvz)ceehqbp +ing depends on (1.0 分)

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 forvh eb4m51* quu.olofl;h:n8yce is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces arem.l:o4hf h 1 luu5o;bn evy8*q applied perpendicular to the door. Which force exerts the greater torque? (1.0 分)

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The first force is p tv 1g-lvje.y319 znd/jah p*applied perpendicular to the door; the second lpja.tg-z/1vp1jyn 3*devh9force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque? (1.0 分)

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 appli jf9z.2k wsc/yz9j/gsfibf-g8/vtn01m yct 4ed to a doorknob, perpendicular to the door. The first force is twwv8/92 k9m0zf-yy jg s tftz/ ic/c4b.ngsf1 jice as large as the second force. The ratio of the torque of the first to the torque of the second is (1.0 分)

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 jsg7g3t,9kqf an object's resistance to changes in rotation?,gjg t3f 9k7qs (1.0 分)

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 g62nz ej/uj zek/svmm, 4:u 3gboth 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 smaller moment of iner uej2mjs4 nk // vm3:gz,g6euztia is (1.0 分)

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16#

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Two uniform solid spheres have t6ooyp ,) y3s s )f,e2ncxsq-olhe same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to thacos),f ny, oe6)o 2xlyp3 ss-qt of the smaller sphere is (1.0 分)

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;blj: tnhi,8 kameter of the other. The ratio of the larger moment of inertia to that of the 8,k j:h;b inltsmaller moment of inertia is (1.0 分)

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18#

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A uniform solid sphere has mass M and radius R. If the pp-k3x2dou/rsj8zx)3),ultk/wo sjw 71epk se are increased to 2M and 3R, what happens to the sphere's mokdewo-s 78 )xp/3,luk3 szp1p)w jrjx/tu2 koment of inertia about a central axis? (1.0 分)

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 tol:5i0/9rdo t t ,gofz tlfd,9w an object, that object will (1.0 分)

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 sv c-*f- p a62)ozdvrchcm;- bis given by 0.5 MR2. If this cylinder rolls without slipping, the rat;v zb)-6drfapc-*oc-c shm 2v io of its rotational kinetic energy to its translational kinetic energy is (1.0 分)

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 t-*uux 2.tzu7s j u8gqmass of 10 kg and a radius of 30 c q- *sutx.uz2uu7 j8gtm. 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. (1.0 分)

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 sl- sf jqzb83z3wipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the inclin33zwsqbjz 8f-e depends on (1.0 分)

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 matu aq(ornw+ip*2. ,enss M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottinr 2euoq+,w .tn* ap(om of the incline depends on (1.0 分)

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 pa28;wtvtyl)pus+ ci8e rticles changes when a net external force acts on the system." This statement yst2v+8i; e lcuwp8)t is (1.0 分)

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 veloci72 xkzy-q xeo(ty of system of particles change without any change in the system's angular momentum?qx-kzye72ox ( (1.0 分)

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 mayco29+ve 7oivpgmds u7* 3c)ni be present. What happens overs cpve+d93conv77*)2i omg ui time to the Earth's angular momentum about the Sun? (1.0 分)

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 ellipticauwgfx l(5az+y j0.p m+ d+e8uyla3rr (l orbit. As the Earth moves close tou p+( gz(l5+m8r+f awe3 yur.aj0xd ly the Sun, then which of the following best describes the orbiting speed of the Earth about the Sun? (1.0 分)

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 pullingdx2 l4 1q2twmjay9m 5n in his outstretched arms close to his body. What happens to his angular momentum about the axis of rotatio9d4t2l1mj qy na2xm5w n? (1.0 分)

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 ou0 l,*n z rnk)mk3ms/zwtstretched arms close to his body. What happens to his rotational kinetic energy about the axis of rotationk03z r)wnns* zlkm /,m? (1.0 分)

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 9v ;87p 4gkj3lz0x)me xawriss0l-r z fast spin) by pulling in his outstretched arms close to his bodxe9m83)0 lr0zgspw4az;r-i vsx kl7 j y. What happens to his moment of inertia about the axis of rotation? (1.0 分)

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 conservatio vyr eqc 0jwbr-q1s )19d5v1ehn of angular momentum. (1.0 分)

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 Eak 2m(uqj:q, hsod;p lp s2 1scn:dl4f2rth travel in a three month period in its nearly circu :fnjsdc2udpmql;4kshso:l 12 ,(q2p lar orbit about the Sun with a radius of $1.5 \times 10^{11} \; m$? (1.0 分)

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 length8ue1zxspnlh)xj, +: gqw8;af of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes q f:8,g)nae1lsh xjupx+ 8zw;and 45 seconds? (1.0 分)

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 0qp;u-k wk6 +kck ;wymrevolutions per minute equivalent to? (1.0 分)

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 uniforml2dxy2c* wqs r j94z,/wleg/o gy through 2.0 revolutions in 4.0 s. What is the frequency oxze2 l /o24 w,cqd*jr/gsyg 9wf the wheel's rotation? (1.0 分)

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)i r8,j8b 7rokyh+; zkf emits pulses at a frequency of 0.40 kHz. The pero7k8jr +,y8f; ibhz rkiod of its rotation is (1.0 分)

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. Throughv o)00z)pybzvc iwl44a9 a-rp what angle does it turn in 0.20 s0r4ap4 vcz) -bw)ozy0 p9alvi? (1.0 分)

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 pointk-nmmsy(8p 9x, c yuv5 on the outer rim move iyum( kyxp v -8smcn59,n 2.1 s? (1.0 分)

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 throuf/xx2e uo2s )gi7:fr cz8lo h;gh 2.0 revolutions in 4.0 s. What is the aveg x22o)io ;zelhr7f/ f: csux8rage angular speed of the wheel? (1.0 分)

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. What is tqwi8jjri *h8 9he linear speed of ir 898j *qhwija point 0.10 m from the center of the wheel? (1.0 分)

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 r7uq.b q thh:t/esort carries skiers a distance of 6.8 km. The cable which mov/thh.qt:b q7u es 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? (1.0 分)

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

单选题搜藏此题

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 rad/s. +a::bl r sf*/ddt-qqd What is the linear speed of la*d r:qb:- /fstd+qd a point on the wheel's rim? (1.0 分)

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 length./ux jd 7iw0rq7 If the motor rotates at the rate of 20 rev/s, wha/0d i 7urxq7jwt is the approximate linear speed of the end of the cord? (1.0 分)

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 ronw (n al:e-+botating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleratoae ( -wn:lb+nion of a point on the wheel's rim? (1.0 分)

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#

单选题搜藏此题

What is the centripetal accele)oa )7vtgj4fl ration of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is moviv o)gtl) af47jng 8.00 m/s? (1.0 分)

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, rdn2 qpyb1g20 t;mec(jotating space station (r = 1000 m) rot0dqg 2etjc1mb 2ny p;(ate to produce an artificial gravity of $9.80 \; m/s^2$? (1.0 分)

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 of 208 q7( f+pbbbny m/s. The maximum centripetal bbnp +bf7(qy 8force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car? (1.0 分)

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#

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A car is negotiating a flat circular curve of radius 50 m with a spgr efwyxmx /,g40v a,4eed of 20 m/s. The maximum centripetal force (provided by static friction) is rmg4w ,,vg4yx 0 axe/f$1.2 \times 10^{4} \; N$. What is the mass of the car? (1.0 分)

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, ijo:t2dl;k1 yz s whirled around in a smooth level o;t jz1d2k :yltable. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break? (1.0 分)

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 mas hwd;n wi18cj*;bxw/ gs 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a la*8cwg;w dhj;1wx/n b ine 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) (1.0 分)

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51#

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A wheel accelerates with a constan,,jqhezs; 0qs6hqp wa c:hz)8t 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? (1.0 分)

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

单选题搜藏此题

A wheel accelerates with a constant angular accelera 9o1c f( 0bmfxo6/cfc8q uh pr7kw54grtion 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? (1.0 分)

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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How many radians does a 0.300-m radius automobile tire rotate after stx9-)e bpg1n p xxqx+-sarting from rest and accelerating at a constant angular accelerationsbp gx--exx q)+xn9p 1 of $2.00 \; rad/s^2$ over a 5.00-s interval? (1.0 分)

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

单选题搜藏此题

A wheel starts at rescp i+sk6 4lfm*t, and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s? (1.0 分)

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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A Ferris wheel rotating at 20 rad/s decelerates with a constant angular accelersd ut/p g; 2t 0*7ibjoc,vf0vsation of 0jt0 tcud7 ssvi, v 2o*pg;/fb$-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest? (1.0 分)

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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A wheel starts from rest and reaches an angular speed o kx m*3mnp8 x:m*7ty0 8km jjfx6v)suyf 6.0 rad/s while turning through 2.0 revolutions. What is ummks*t v:7 0k6x3mnx8 fx)y jpm*jy8 the average angular acceleration of the wheel? (1.0 分)

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#

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A wheel of diameter of 68.0 cm slows down ufyo ,;c8nba k2niformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutiof,kc8oab2 ;ny ns the wheel rotates in coming to rest? (1.0 分)

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

单选题搜藏此题

A wheel of diameter of 68.0 cm slows down uniformi w(bs (bpwr7-ly from 8.40 m/s to rest over a distance of 115 m. w-wbi7rbs((p What is the angular acceleration? (1.0 分)

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#

单选题搜藏此题

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to resx,lcux02v )pjksd*p1 t over a distance of 11*uxkl,d1pspc 0v )2j x5 m. How long does it take for the wheel to come to the stop? (1.0 分)

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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A centrifuge in a medicalsn ,wf,arv92)etvw ; a laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before )tev w,, w2v snr;afa9coming 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. $s$ (1.0 分)

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61#

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The bolts on a car wheel require tightenin5me(:(sgr s zhsn1go3a5l sj4,s iy7eg to a torque of 90 Nm. If a 30 cm longs7y1ei jm( sshgan5ro(eg3 z4:5ss l , wrench is used, what is the magnitude of the force required when the force applied at $53^{\circ}$ to the wrench? (1.0 分)

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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A wheel with moment of i;wzot m86f3kba2i(mn nertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience? (1.0 分)

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#

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A triatomic molecule is modeled as follows: mass m is at the origin, m2:.qt4 e+l o0unrb zutass 2m is at x = a, and, mass 3m is at x = 2a. eurln 4b.tuq:0t o+2z What is the moment of inertia about the origin? (1.0 分)

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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A solid cylinder of mass 10 kg is pivoted about a frictv6n siq :u(dtm60 h5elionless 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 aroun0t :h (ndu5 vqes6lim6d another 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?

(1.0 分)

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#

单选题搜藏此题

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thou fniv yq gxf(q08586oyght 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 anqviffg8(0 65 o y8xnyqother 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? (1.0 分)

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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A 4.00-m long rod is hinged at one end. The rod is init7dju tnbo,sz-jkk s 8 ,0rmi28ially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as i mit, ,8j-kzunss7 0ojd8kr2bt is released? (The moment of inertia of a rod about one end is ML2/3.) (1.0 分)

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#

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Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kg. Neglect+t+j g,e)vbd+ry4 vs s the mass of the axle and sprocket.tdveb,j s 4++vrsgy)+ If 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? (1.0 分)

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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A 1.53-kg mass hangs on a rope wrapped around j m6.m1tahc-qct gp9rp)0 :rma frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration of the r)p gc6m. j9: phtmq1cm0a r-tpulley? (1.0 分)

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#

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A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of mabonwwt1++s y8-+x 6pk1jrq czss 7.07 kg and radius 66.j1yr+ +6ww1-8k o xnspc +zbtq0 cm. What is the acceleration of the mass? (1.0 分)

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#

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A rotating flywheel can be used to store energy. If it is req; r.wet)klxrmll-2 7np, wti,uired 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 $kgm^{2}$? (1.0 分)

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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A wheel of moment of inertia ys*bmr4 l)hcrc g -el.-7 x4eju ;b(raof $5.00 \; kgm^{2}$ 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? (1.0 分)

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and rolls )u5lbtj-de /gwithout slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaj-gu) t /bdel5ches the bottom of the inclined plane? (1.0 分)

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#

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A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. a08n yl b-o52r9ifkkxHow high up an incli5 lbxoaf9rk-8iy 0n2k ned plane can it climb before coming to rest? (1.0 分)

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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A hoop of radius 0.50 m andug1u .dku h wlg8;ul9)zoocxrn z 3496 a mass of 0.20 kg is released from rest and allowed to roll down an i8uu96gglnd4ozx )ok; u z hlc93 1u.rwnclined plane. How fast is it moving after dropping a vertical distance of 3.0 m? (1.0 分)

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without s yehzv 9ed4*:mlipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a spzmd :evh4y *9ehere 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? (1.0 分)

该题自我估分: (必填) (满分:1.0分)

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76#

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An object's angular momentu8m cuj6zza+fw 55bp k/m changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object? (1.0 分)

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton? (1.0 分)

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

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

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

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

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78#

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An ice skater has a moment ofu4bc 6vjj4y7b3 7 nmfc 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? (1.0 分)

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad/s with arms extended has a moment of . ftii9 z-1gw ob+sxx uq;;9)hzk-n hqinertiaoxs zi;nb-wh )h +t-q;u1i9 xg9q fk.z 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? (1.0 分)

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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