Physics Unit8: Rotational Motion

1#

Angular displacement isrs y-3q3b( xlt usually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Angular velocity is expre)*s ony*pu ire .:1vpbssed in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Angular acceleration is expressed in unita,v w9;fogic,ua pzt 4 s6;:qws 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boy and a girl are riding on a merry-go-ro1 ghb. vz+o2lp hj5a2pund which is turning at a constant rate. The boy is near the outera 2pgjblh+2v zp1h .5o 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boy and a girl are riding on a merry-go-round which is turning at a con8g e+2sump )uwml(r 1(kyis7nstant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular spe7+ mum2snpls(er u1gyik8 w ()ed?

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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boy and a girl are riding on a merry-go-ra1ru*f t ;q1ssya ,xx*ound which is turning at a constant rate. Thesrqaafux, 1y*;xs1 * t boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boy and a girl are riding a merry-go-round which is turning at a q q gflxj,iw4;:(jkssx8,5ty c ;*rnf constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the gxrt 8sjy x4q:flw jickg ;qfs;,,n(*5reater 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A boy and a girl are riding a merry-go-round which is turning,,vkq 2 xs,xgx+ry2 ,i lhhxw; at a constant rate. The boy is near t+2,qkhyw xr ,; ,, gsihx2xvxlhe 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider a rigid body)(vakhq.jq9iniwg(8kw3 /w:cl 6 kdy that is rotating. Which of the following is an accurate statei9whd6w: n8lg (w y qik3cjaq/ v)(.kkment?

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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Rolling without slip gc59v1/ un +-nnyohibping 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two equal forces are applied to a doy 56/o+mxy uqmor. The first force is applied at the midpoint of the door; the second fom+ yqy5/6ux morce is applied at the doorknob. Both forces are 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two equal forces are a s7yrm 4 3x)rzzxby9;jpplied to a door at the doorknob. The first force is applied perpendicular to the door; the second force is appliy 4)x bs9;jmr r37xzyzed 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two forces are applied to a doorknob, perpendicular to the d n+k;2pfoisrlnh;9 0 7 nw0x1thun8ykoor. The first force is twice as large as the second fonnirft9 uops 0 01;nlx78hhk;yn2wk+ rce. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the quantity used to measure an oshib+ p50p(fv 0)zpdxa h8ud;bject's resistance to changes in rotatioxd (vas f8p b0hipp );zud05+hn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider two uniform gpbu5 vq*c.qf00a4an :g)1 (n oebpzv solid spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smallerq0aga.bbfe c 41o50*q(u)gnpvzpn:v moment of inertia is

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16#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Two uniform solid spheres have the same mass, but one has twicxzt buq8ikxyzk.h /g+1/h 50de the radius of the other. T/h1t 0x8 .dxzykzi b/ugq+ 5khhe ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider two uniform solid spheres where one has twice the mass and twice the dip*ew a0h0yob .ots3y.ameter of the other. The ratio of ay3 pt0bysoe* 0.o wh.the larger moment of inertia to that of the smaller moment of inertia is

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18#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A uniform solid sphere has m9:;pzh jjm( iuass M and radius R. If these are increased to 2M and 3R, jh:pi(m z u;9jwhat happens to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

If a constant net torque is applied to an object, thk:3f* vipl6cwv,zf b 3at 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The moment of inertia of a b0k.-:e :u /5y zxeqsdoym /zrsolid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy.u o5:r/ zqsy ed/y z0emk:b-x is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 10 k .wo5k)/ojnzl2ry a,r g and a radius of 30 cm. What is the ratio of the rotational kinetic z r .)yln,wkj52rao /oenergy 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Suppose a solid sphere of mass M and /y ihqs9 k)z6uradius R rolls without slipping down an inclined plane starting from rest. The linear vi69uzh/s yk) qelocity 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Suppose a solid sphere of mass M and radius R rolls without slipping down an7kf(jebfw4/:r s *fckkxz 0qhy+ ,(tbtb y/u ( inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incxez/ k :c/b,bt t h(*jwfrsy0yf ku(k(7 bq+4fline 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

"The total angular momentum of a system of particles changes when a net exterb q5ara++ibr.nal ra+ b. +iab5qrforce 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

In what circumstances can the angular velocity of system of pakr , 0+lzmo26mc-sq7t yd+o narticles change without any change in the system's angular momock n6t2a7zy0m o, m++d-q lsrentum?

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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The Earth orbits the Sun in an elliptical orbit. Ignore any friction d oz2o.8g5 kye 4fxujx4 *-odtwhich may be present. What happens over time to the kz u5ed.xdf j24goxy-84*o o tEarth'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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The Earth moves about dumx, du-++pf y2oe0n the Sun in an elliptical orbit. As the Earth moves close to the Sun, theupy 2md+-d0 e,x+nu fon which of the following best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An ice skater performs a pirowzxv+/rwk 6g5;pr6n zuette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum abopww/ rz+k r5gx;66v znut 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An ice skater performs a pirouette (a fast spin) by pulling in his outstretched 9*js mnce-pt-arms close to his body. What happens to his rotational kinetic energy aboutnspe-cj t-*9m 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An ice skater performs a pirouette (a fast spin) by pulling in hi1-ixis ( .tnens outstretched arms close to his body. What happens to his momentn1t.ii( -xsne of inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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31#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

State the law of conservation of angsr9/+31s s(nbb ,mjooh6d apoular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What arc length does the Earth travel in*;f,oigzd . prw/2v )dsk(tia a three month period in its nearly circular orbit about the Su i,dopg(s w rfkdv 2tz/.)a*;in 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The second hand of a clock has a le2arsnv3l)px a+aknot: 0s/; +zc 2gz hngth of 0.30 m. What distance does the tip of the second handava:lt)+2 z0 kas2 +r;z cxsnoh/3gpn sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How many rad/s is 25 revolutions per minute equivalelutx2v a.y3n i:horr0b0rb61 nt to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A bicycle wheel rotates uniformly thrcft.0br z wihs9) v5.gough 2.0 revolutions in 4.0 s. What is the frequency orv5 f0ztisw bc9h). .gf the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A pulsar (a rotating neutron star) emits pulses t2965ctrzms3ctr-b cat a frequency of 0.40 kHz. The period of its rotation is-rccrt9z bm 3s6c25tt

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A phonograph record rota0ze m, pd;uoyo *4n)ehtes at 45 rpm. Through what angle does it turn in 0.20 s;do4p) *oy0huzem en,?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the outery avno/ 8ajfuot,8/k , rim move in 2. /a y,8tu/a8v ,kjfono1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A bicycle wheel rotates uniformly througf390yozyg4hydn wz-kdru,nbr k8r4 -lm3 +t3h 2.0 revolutions in 4.0 s. What is the average angular speed of the wh nh 3o-zy8yd4m ,k k+wgrt3l-3dbr0n9ru zf y4eel?

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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A bicycle wheel rotates uniformly through 2.0 revolutions 1pk+k;jgcdw;d aux dch hx-+6,g6b: uin 4.0 s. What is the linear speed of a point 0.10 m from the centerxg,ja- xwbp6 16d c+ud+;h; dhgk:k cu 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A cable car at a ski resort cwh46ja;nc ;duac4j 1larries 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 the pulley rotate for the cable car to make the tripjj u w4caln;1 ach4d;6 in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 0l/poqm* 4 juirad/s. What is the linear speed of a poupl * qo0ijm4/int 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The cutting cord on a gas-powered weed cutter is 2-g el4.4pr;yq q edyr: nxl9u0.16 m in length. If the motor rotatesu y4rgdqqx4- er;2ln.9yep:l at the rate of 20 rev/s, 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel of radius 1.0 m is rotating with a const 9ajx9ikweq:2kr we( er6+xg/ant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheel9qrexjki rge(ew2x 9k/aw+6: '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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

What is the centripetal acceleration of a point on the perimeter of a bicycle 7 f/rpilzn-6kwhee-/ fliprk67 nzl of diameter 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How many revolutions per minute (rpm) must a circu)mq(tpzh(:ad v -mm 1olar, rotating space station (r = dqm(omh:pt a)-z1 v(m1000 m) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A car is negotiating a flat circular curve of radius 50 m with i3vgp oz,ty-+ a speed of 20 m/s. The maximum centripet ,ztgypi +vo-3al 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A car is negotiating a flat circular curve of radius 50 m: jczb1- l9fsh with a speed of 20 m/s. The maximum centripetal force (provided by static friction)jh:f 9bcz-1l s 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A 0.300-kg mass, attached to the end of a 0.750-m string, is whirled (o/6r we) g:)ycys-egl kisj:around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the stre)yelog:-:6s/w y i) skjgc(ring 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#

填空题 ( 1.0 分) 切至整卷模式搜藏此题

A bowling ball of mass 7.5 kg and radius 9.0 cm rolls withoulf4 ax5m 6x2ij2 xi:est slipping 10 m down a lane at 4.3 m/si2axx2ijm x l fs6e:54.
(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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel accelerates with a constant angular accelek,a)cgv/y: on) -hdgrration 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel accelerates with a constant angular a:1ctst mw/s/c4 z,:;tcd y eckcceleration 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

How many radians does a 0.300-m radiunoq9:+sedn kd -h(i03ry2tzza2t g*b s automobile tire rotate after starting from rest and accelerating at 9sr(za *det yq 2i3+bkn2-t0h:z ngdo a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel starts at rest, and has an angularh h7,c zo vyl8g0/x*pq 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A Ferris wheel rotating at 20 rad/s d*o)ups(+c jm aecelerates with a constant angular acceleration ja)s*m +ocu(pof $-5.0 \; rad/s^2$. 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel starts from rest and reaches an angu(ozhqb 4o3 ev ,b00piqlar speed of 6.0 rad/s while turning through 24 (b3z,io q0bop 0heqv.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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel of diameter of 68.0 cm slows down unpfogk8a r g e4i)q,-is ra30/jiformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the whees 3i/0gjoaq pkf)e r, i84-agrl rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel of diameter of 68.0 cm slows down uniformly hbqz)+mg5r k8 from 8.40 m/s to rest over a dista)58 khgrz qb+mnce of 115 m. What is the 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel of diameter of 68.0 cm slows do6 ebgpr ;/i fsuji/19awn uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the whe;aisg1ref 6 /piub9j /el 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#

填空题 ( 1.0 分) 切至整卷模式搜藏此题

A centrifuge in a medical 6mqwntdvt cz( 5hy )+2laboratory rotates at a rotational speed of 3600 rev/min. Whem5vydh wtt+nc6 zq(2 )n switched off, it rotates 50.0 times at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge. $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest. $rad$
(c) Calculate the constant angular acceleration of the centrifuge. $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest. $s$

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61#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

The bolts on a car wheel require tzbwodx v20x5-ightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when thexbzo0x5 wd v-2 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel with moment of inertiae: 5nm.4t gpyi7 qfz26u d:yvi4yoc*i $3.00 kgm^{2}$ 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A triatomic molecule is modeled as follows: masmg n8fzxp-dv g1b-33l s m is at the origin, mass 2m is at x = a, and, mass 3m is a3 8-mfzx-p3gn1dbv lg t 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A solid cylinder of z4l i nkz4 gg2q9mjt03mass 10 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 rom4zg j ziq93kt g2n40lpe wrapped around 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?

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 ( 1.0 分) 切至整卷模式搜藏此题

A solid cylinder of mass 10 kg is pivoted about a frictionless a.h0z /p3om crnxis thought the center O. A rope wrapped around the outer radi .3m /r0pozchnus R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A 4.00-m long rod is hinge/kt dz3jp/i+y/pb4s qd 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 spb3t/zyk4d/ i+/ jpqas it is released? (The moment of inertia of a rod about one end is ML2/3.)

A. $2.45 \; rad/s^2$

B. $3.68 \; rad/s^2$

C. $4.90 \; rad/s^2$

D. $6.75 \; rad/s^2$

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67#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

Consider a bicycle wheel to be a ring of radius 30 cm and mass1mqa dd1 6udu0 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what lm dua101u qd6dinear 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A 1.53-kg mass hangs on a rope wrapp /)pq1hlug 91jgfu z fe1eri2a+s.u7ded around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration ofu9f1 iugq171 udlhs e/2 +.eza )fgprj 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A 1.53-kg mass hangs on a rope wrapped around a frice7oa)e v,l3x qbcabd8o ca7- af2.yt2tionless disk pulley of mass 7.07bq xao e d.teco a7,)b3-278v2a lcafy kg and radius 66.0 cm. 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A rotating flywheel can be ub(m/qjy1fyy7 sed 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A wheel of moment of in 6qs)80ll- dfhv mlgwtrdx:,*+g8wb nertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A solid sphere of mass 1.0 kg and radius 0.010 m startu2dqjyu f 2qo:or+qhklnn8q8 m75+y9 s 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 bottom of the inclinedyuu5+rhn7mod j 2ok: f 9qylq8+n2 8qq 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A solid sphere of mass 1.0 kg and radi *o(uq-c0vp 0vybpkl60ekt 3 eus 0.010 m rolls with a speed of 10 m/s. How high up an p0bt* 3v ep0lyuk0ev qcok-6(inclined 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A hoop of radius 0.50 m and a mass ofpigl14 :)za dn 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertilzin)p14 a: dgcal 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#

问答题 ( 1.0 分) 切至整卷模式搜藏此题

A solid sphere of mass 1.5 kg and radius 15 cm rolls ea:vevj8mb syjuu;ahy ,46 1+e3tt9 awithout slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertiav6 m:8avs1ytu9 ; ,e34yh+e j uebaajt 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An object's angular momentum changes by mcjb4 nptw45 2l4gqr8 $20 \; kgm^{2}/s$ 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#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

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

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

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

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

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

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78#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

An ice skater has a yphks ,oey,:5m80hrgmoment of 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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79#

单选题 ( 1.0 分) 切至整卷模式搜藏此题

A figure skater rotating at ra . x.rosh9w05.00 rad/s with arms extended has a moment of inertia ohorswa9x0. r.f
$2.25 \; kgm^{2}$. 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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