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

1#

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Angular displacement is usual9ryio44lrv s)ly express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is express2x 31i01j*c-d jjtxqf/i v- x.xeacssed in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expres thcx zmh4/j5ox k-3l-sed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which ie7( d dh4:3- lkzgt,gvdxdrh/ s turning at a constant rate. The 7h4: (kltddxg-zgh /3r,ddve boy is 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 which is turnu y: 3d)jx2qzring at a constant rate. The boy is :d)j3q2uxr z ynear 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 riding on a merry-go-round which is turning atyo+7.fiem ) dl a constant rate. The boy is near the outer edge, and the girl is closer to the center.l)mdif+7 o.y e Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at a consz*v)rr:tk ok; tant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the gr ;k)*krvzr: oteater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-rouw v 6m18 kq*xm3aj- kuip(p;m6vyju; ynd 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 tangentia;qy3 m6i*x;vv8kwm(u 1-pp6 a mjuj kyl 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 following is an accuxqnl 1-1 5nqitrate statemen xlq1-1nt5i nqt?

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 slip:yh ky ed(bt31ping 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 ivulha l-p- qi+3c*v. first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces arlihpaq+. 3ui* lcv -v-e 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 the doorknob. et ry.f/qt9) v The first force is applied perpendicular to the door; the second force is appvt).eq/ f9tyr lied 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 doorkx88 , tzih,yakzhg 8r)wgh+ +onob, perpendicular to the door. The first force is twice as large as the second 8+ iwy h,toz r)hkzgah+,xg88force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resista65rkzkw + k4rhxlf a)+nce to changes in rotatih 4af)wr +xl6k rkz5k+on?

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, .szp - eo)eec7but one has twiczseoce. 7ep- )e the mass of the other. 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 ha- i1lpp2 rxunxt9c.3*agp-e o ve the same mass, but one has twice the radius of the other. *gel-c 9.3ur2x1aoi-txpn pp The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheresno)/md3f4 *effjknna-f;1a ytv i 8l* where one has twice the mass and twice the diameter of the other. The ratio of the lafe t*nn-v)jofn kl* df /f4;imya813arger 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 Rtrfi cqp8 r0;uu jz;-+5bndj5. If these are increased to 2M and 3R, whatu+z-n850jpcqfi t;; 5rd ujbr happens to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applienq/h 9q4op/4lgk+r lpd to an object, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia*;xkw :bo;p4 ubn7 mwi of a solid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to it*i o ; upwkmbbx4n:w;7s 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 o3s f (cik i3p;;iitdw.b:,umff 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 kinetic energy of the wheels to the total translational kinetic energy of the bikecffi3mti(.b, s;kpd : uwi3;i? 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 bs3ugxs0y +9y/ucig* e5zk1 hmass M and radius R rolls without slipping down an inclined plane starting from rest. The linear vg1/ z sechbkux*0 yi9y5u3 sg+elocity 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 radiue8czg6 j+hkz ic64ab:bmn) f8s R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline dependb:)bgziajh8ccz8e+k n4 m6f6s on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles changes when zrd x9p(rr; cb0rfym 1k+zl3 0a net external force acts on the system." This stateme0rx0+y 1z;rr lf93c bdr(mpzknt 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 p -aax:hulfsm+t 8;gg-:a p gt-sng+j: articles change without anyalamgat:g gn +8 --j;-:sh+p:t xgfus change 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. Ignore any g e u txujfbxslb 9g.3,)1*2xzfriction which may be present. What happens over time to the Earth's anef2tbl 13j9*sxx xgu u)b,zg. gular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

D. It increases during some parts of the orbit, and decreases during others.

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27#

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The Earth moves about the Sun in an elliptical or;kob i7kf2rf/ bit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth about theikkr ;f2ob7f / 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 pirou0 0qz58qae8 yqti0u6g(/hby p u9ukl oette (a fast spin) by pulling in his outstretched arms close to his body. What happy 0go 5(azut6/ 8ku elipb0uqqh08y9qens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstreagy2.howm8 85udp 6dktched arms close t d2ud8g 85a.p6mkw yoho his body. What happens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette (a fast spin) by pulling iy0rurl: 1s.rwmsm:1;nx ta6hok*j ,z n his outstretched arms close to his body. What happens to his moment of inertia abow6 .r:xk;zys1mnlo:*u 0 1 ,as trjmhrut the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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State the law of conservation of angular momenhhuc3 g5nc7ff.ui;lz6wl2zy xnu -ik)) m 9n,tum.

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 pejhi(se ,5;dmsqw - vs(riod in its nearly circular orbi;iv(, mws( se jqd-sh5t 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. What distance does tfvcbu34 kpgjo4 q/42c)y g.v hhe tip of the second hand yfq. bck4o23g up4vhv )4gcj/ 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#

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How many rad/s is 25 revolutions per minute equivab9vg7h)k bt82-t:vgy m/ rbn8 shjx6c lent 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 uniformi v fie5tz2 f.,:s4gj86hyzqqly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's rtiz, q2sehz v:ig48j.6fqy f 5otation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequyrtvqsd(*r d01.um k,jwckyc);m n 9(ency of 0.40 kHz. The period of its rotan0*cdc;rwku)9k(r(ts1d y , mvmjq y .tion is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Th e:q9iyj;mndq*b6;q xrough what angle does it turn in 0.20 sbe d;;qxn9* :mq6i jyq?

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. Ho+ vh-y lq-qvh/w far will a point on the outer rihv+vqylhq-/ - m 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 revoln19 i;q+uo aglutions in 4.0 s. What is the avq au i;glo9+1nerage angular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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A bicycle wheel rotates uniformly through 2.9b,cvh,ytc: w 0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m frh v,bw9, ty:ccom the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distance of+xb,nhk.v5gt./zj i, +d7 a un tos.rz 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 tj/ tkg irn +x,hz5.z7n. bud+vosa., the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating with a constant angse9ddsrfg286 sj4 x2e ular speed of 2.0 rad/s. What is the line2sjrs4e9g2s 68dd exfar speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 0.16 myng32tqbq bor4:bd:7de g( 3m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear spe gbq3rd: 3q :4(y27tgmnbebo ded of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant.c0hl*5j.m. amr ergp angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wgh5.re..jma* lcm0pr heel's rim?

A. $0.50 \; m/s^2$

B. $1.0 \; m/s^2$

C. $2.0 \; m/s^2$

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

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45#

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

What is the centripetal acceleration of a point o3 dov-m bqt6p;n the perimeter of a bicycle wheel of diameter 70.0 cm when the bike iq d;pbv6m-o3ts 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 stat3zi:qiempruc6. thu3/ rz o7 *ion (r = 1000 upizrq6./r ci* huoe 73ztm3: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#

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

A car is negotiating a flat circular curve of radius 50 m with aa o./7 nj.x axzbvk+znbz0v++ speed of 20 m/s. The maximum centripetal force (provided by statiz+v. 0az7x.jbk vnnzo+xa +b/c 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 p43n-iru ro4 r j:vap3flat circular curve of radius 50 m with a speed of 20 m/s. Th4uivp-r p o :34r3anjre maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

A. $0.50 \times 10^{3} \; kg$

B. $1.0 \times 10^{3} \; kg$

C. $1.5 \times 10^{3} \; kg$

D. $2.0 \times 10^{3} \; kg$

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49#

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A 0.300-kg mass, attached to thvo ,rg v* b (:sdbwjpajnl,,btsn1 .b;89;ja ge end of a 0.750-m string, is whirled around in a smooth level table. If the maximum 8gdb bpwav.( s,;,bbgr9j,*vlsjn; tj: n1aotension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of mass 7.5 kg avj k1d5jitq/wd 8tg+4 nd radius 9.0 cm rolls without slipping 10 m down awq/g 5 ddt1jit8v4+jk lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angular accel4 8;9 jhn-ggnb;phyaoeration 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 abxn + m9.yz7n+j+bm sb constant 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 automobili fe,n4/fzx3/7bfd0sz*xln ,kh avp6 e tire rotate after starting from rest and accelerating at a constant angular acceleratil x0k6hz enni/b ,zx4apsd ff3, /vf7*on 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, and pfjf;g37( 92ac:toi* i. o twkv0bdcqhas 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 decelerates wedcj*q7eyoo ebnu+ m 3f,8:g+ith a constant angular acceleratieb+m, cuon d 8je7yeqog*+ :3fon of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s while turningtu/tekgj v3fc13c7rai8 l.v ( rf+7 yxa 4u4oh through 2.0 revolutions. What is the average angular acceleration of the wheerkl 8aue +vcj1tt3c/afh7 ry44ixvf73o.g( ul?

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 c z*ay k 5ll-lba;zyra9g( l;j9m slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total numberlzg j;lar9(- *a zy;k9ybal5l of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down u 4k) ecbzrk(b 5(b+ 0 ctxplj,i7x2jshniformly from 8.40 m/s to rest over a distance of 115 m. What is the angul)+bbpjr2exkcc,kl 5t 4h0j (xs (7bziar acceleration?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

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

A wheel of diameter of 68.0 cm slows down uniformly j74j-zvaj4 nzt./s5s-vix 0wvbn4rfq h4ui,from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to the stop? 7v-qj4n5a4zw-4j4zbusfx vjh /svn 0t, r.i i

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotov4p qge9k(o50a;u5 x 7fiy mxational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before coming to rest. q;(pu k5954 a gfo0evmyioxx 7
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torque of 90 Nm. Ifqgcn;ut;pqtt*yznu 4 .ja 9-2 a 30 cm long wrench is used, what is the magnitude of *qn2ttt4.;;qg9 ajcp n y-zuu the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of inertf7 q1r2g(vc6vx ;upllulh69 h ia $3.00 kgm^{2}$ 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 foll8uly l5x 1je0uows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of iner80lxyejuu1 l 5tia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axbwjg /zp9hu7v+k +*dbis 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 downward. (Seez/ udp*7++ 9hwvbgbkj Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought txs3* d/6ostcy he center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a t/ s6d*sxo yc3force 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#

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

A 4.00-m long rod is hingel(7lotn/ nzm;nxs 2 8pd at one end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is relenx; t2z/mp (ol8 l7snnased? (The moment of inertia of a rod about one end is ML2/3.)

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

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

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

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

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67#

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

Consider a bicycle wheel to be a ring of radius 30 cm-76;aj7*mz k7 q;a rkutvkbzy and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentiallu6* ktbvy;jka ;zza7mrq7 k7-y 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 w/*7,7se gvf c9ehki2dcj+ zcdisk pulley of mass 7.07 kg and radius 66.0 c7 2c+ ihjdkf,ecgz*7 ev c/w9sm. What is the angular acceleration 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 ro 6gnc5g3a jqaj5/*cwtpe wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the accelerati 5/q63 gangwt5ca*jj con of the mass?

A. $9.26 \; m/s^2$

B. $2.96 \; m/s^2$

C. $6.29 \; m/s^2$

D. zero

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70#

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

A rotating flywheel can be used to store energ8de ,z 8tk kh+6j2huzry. 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 inertiajp/ou.k g7h i+ of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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

A solid sphere of mass 1.0 kg and radius 0.010 m stara. *4c,x qal g,ktga+hts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches th4a*tx+ga,ql gc h,k .ae bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and radius 0.010 m roll 8n cr kiy2iqbf-u+9f+ik((nx s with a speed of 10 m/s. How high up an inclined plane can it climb before com nyn -kk(+biu+i 9 fciq(28xfring to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is released from rest and allows mh)2 k7w8m*5mx corked to roll down an inclined plane. How fast is s k kx28*m5om)7r wcmhit 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 slippiv3v/u.d57 hni-8 :cgb zizez1m c4f ehng down a 35e incline tz1 h8c. m4euv7d znf zv/:ebi3g ih5c-hat is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular momev, x13zoo/eu8 ehz1* 5mqpwqh ntum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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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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78#

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An ice skater has a moment of 4b ucm*lbbfujwvc3q,+aw ,0 2inertia 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#

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A figure skater rotating at 5.00 rad/s with arms extended has a moment of iner+ bn l3d*a5eg jrp+w*ntigl+nj3pre dw* a bn5*+a 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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教师可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力

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