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

1#

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Angular displacement is i6i*bo9 t8(ko,xq x.xe wef)cusually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expr+ddtp 3iy 8ym:c8in; lessed 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 is6qh4 5zf wfch/ expressed 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-gd4o8:4w6fz koz,,v mak fg,jz o-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has twkz6 4f,zg aj,o ,:8vzk 4dfomhe 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 turning at a bv 6 of8q17;t .ybleabconstant rate. The boy is near the outer edge, and thy7v1b le.;6 q aobbtf8e 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 aais5 la10wikdc.h7a - merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the glha7-.a5aci 1k 0 dwisirl 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#

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A boy and a girl are riding a merry-go-1 uma8ex8tp 4zround which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to thm ua8 tz4px81ee center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-q i bkjit 5t)ka0:1t. sufj:z:round which is turning at a constant rate. The boy is nezqs.: tkj jbtakt)iif::0 5 1uar the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the fodh) a4mme):aozx/q p; llowing is an accurate sta)4xdh:m )p;mqaoaze /tement?

A. Its center of rotation is its center of gravity.

B. All points on the body are moving with the same angular velocity.

C. All points on the body are moving with the same linear velocity.

D. Its center of rotation is at rest, i.e., not moving.

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10#

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Rolling without slipping de.7 p-bp yh0, 5a3nzo4o n*wp6chrjx pbpends 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 first force is appnsc9 v9m6g erj5s g pq .d:u:vbeq)5d8lied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Whic9vved)5rbq gn 5eups.j8 : 9 dm6c:qsgh 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. The fiqlzt 05wlzwm51 oq-1j rst force is applied perpendicular to the door; the secondlw-1loqq5j0wzm t1 z5 force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perff:5qp:m+ 8;b8 ntgrenp.xh spendicular to the door. The first force is twice as large as the second force. The ratio of the tog nfppxn8ft+ ;.re::s8hm q b5rque 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 measurh-+9,kqzf h2ocwnmrj i: ;x z*e an object's resistance to changes in rotation 2oqz,r-ic: h;mfwxzj*hn + 9k?

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 diatjxk(r m8qdi: .(.lv0qmi 7fameter, but one has twice the mass of the other. The ratio ofq:xqt7km aj8m..ii(lvr d0 f( the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice the radir2, , zlo- q4nyo +,;m tdsbwhe9l7yucus of the other. The ratio of the larger sphere'c yn,4h,+rld,u7b- mwlste yz oq o;92s moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the massxis qfh7780 ogs 4-ne i0ww.6n7co cnf and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller mome-x no i6 n siwwe f7c8g407qchn.0ofs7nt of inertia is

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18#

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A uniform solid sphere has ma;h 6 d7ssx/jjpss M and radius R. If these are increased to 2M and 3R, what happens to the sphere's moment of7d /jhj;p s6sx inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, that object) 6-5s7x g;djkkaqmpx will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cyg38be;ezf2 xun +n.s blinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rot+es8xu2. n f z;ne3bgbational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which ha/qk f/ oy8uao/+6a l4p s*w nqhk-t9vjs 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 kqutan hk6vs//qj*9ol4o + -y /p8wfkainetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and raarbe .xry8;hb qdz )*z-iv5x5dius R rolls without slipping down an inclined plane starting from rest. The linear velocity of . r*bqi8rxhb5z5yx-vze ad;)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 mas3h: fx:zhw++rwo upn9s M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the i3ho:fnw+9:hzp w+xurncline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles changes when a net xie75sa f29bd5y wn2y external forcieb25xy9ys f 57adnw2e acts on the system." This statement is

A. always true.

B. never true.

C. sometimes true. It depends on the force's magnitude.

D. sometimes true. It depends on the force's point of application.

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25#

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In what circumstances cakmmgl3c ;: 9 qg/zc.04fgh.jkcz u3apn the angular velocity of system of particles change without any change in the system's angu u z.l p.cf;gm 9ka4qhg3/0gj 3m:cczklar momentum?

A. This cannot happen under any circumstances.

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

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

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

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26#

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The Earth orbits the Sun in an elliptical orbit. Ignore any friction which mayytqn 6;,lxl*q be present. What h,y;t *xllq6 qnappens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun m8gqf2h. p dp)in an elliptical orbit. As the Earth moves close to the Sun, then whichp8f)m.p g2dhq 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#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstrj93 1/p 00u hfg1-knotqpj r9tk9la wgetched arms close to h1kp p9wg0 90n kuth3jr/ft-gjlo 9aq1 is body. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin) by pulling inr;nqtt8qz2tuf,(w 9o6ix j+ y his outstretched arms close to his body. What happens t(if,rwtyqj2 t+ z;qt 69no8xuo 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#

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

An ice skater performs a pirouette (a fast spin) by6g48 2-up 7fy*yp)qbzvy2wsuhtk6 m6mna 0he pulling in his outstretched arms clm6yu4y 7ze *8- u2fqpvpm s2b 6kta)wgn6hy h0ose to his body. What happens to his moment 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#

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State the law of conservati (emrsq+w) yly( /b8tcon of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a thrj;wcxw).2sgcx /wf 7 nee month period in its nearly circular orbit aboxj /2c.7)ns;wgfcw wxut 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 d+45 y)xz jfp s*afpkmko,.w k-oes the tip of the second hand sweep throu,ka+o 5f.*ppy xs )wm kzk4-fjgh 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#

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

How many rad/s is 25 revolutions per minute equivaleh7m;xye-.tuyp( +a cd 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#

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A bicycle wheel rotates unj (t:a;(k4 dp 6qlcykziformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheelk (d: z6ycqjkla(pt;4's rotation?

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 frequency of 0.40 kH. 3;rdavy*72qgkx zrq z. The period of qrarq3d kx2yv;z7*.g its rotation 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. Through what angle does it turn i)p( tox;ci)q*hk(3fqd o1 aqmn 0.20 ( xc3mkoqq d1* (qpi);h ftoa)s?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turns at 1500 rpm. How far will a phj0 / *:iudy8 by(i1b9f.mw snm f4mkxoint on the outer rim /d hb80f.mj9y:u y4fms * m nxi(1ikbwmove in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates unifzb* t.urqk :j,ormly through 2.0 revolutions in 4.0 s. What is the akt,j:*r b z.quverage angular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly ,9q th8w dxshs59d:h8ua9a wba*u1hj through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from th8a9sd9dbqushh*9w8au :hj ,htw5 a1x e center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski resort carries ski4 p5xjln( q8hwers 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 5nq4lp8xjwh(to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 ra gft95 7vpcs zflw;;)ud/s. What il;tgwp7csf 5zvuf ) 9;s the linear 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 wkvipyj3k9lvq);78 m leed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rey p3;kvijlq l8)v7k9m v/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#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 radn b 1+fxbm1k7x)f)l vo/s. What is the centripetal acceleration+o1xf1k fxvmbnbl)) 7 of a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetal acceleration of a point on theo8jl/oc -;ia(4 kn vg2dol*v t perimeter of a bicycle wheel of diameter 70.0 cm when the bike is movjiaok*n;g -o / v(ctl24ovdl8ing 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (mes *,m(d8ih(scslg*rpm) must a circular, rotating space station (r = h 8mm(s d*sie ,(*clgs1000 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 radiuyax+k7*k u2y ws 50 m with a speed of 20 m/s. The*aykxw+yk7 u2 maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating s n(j75kda7wmad*yn 1 a flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (p5wsd(djy 7 a1a7kn mn*rovided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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

A 0.300-kg mass, attached to the end of a 0.750-m string, is whirled around inccgm5*,74uz-k 6q f3oji jwvx a smooth level table. If the maximum tension cz 3c*4,6ig-j qwmfku 5vxo j7that 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#

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

A bowling ball of mass 7.5 kg and radius qigv0tk;:pu;x/ )cn /tsar -fv 8psw:9.0 cm rolls without slipping 10 m down a lane at 4.3 8-;)q/;fssc gx vru::ptviw/ptk0 a nm/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 constaqsz-a/u9)b thl ac8rp o0gfy36 l0 g3bnt angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant angular accel71m+, vdd(ke:kylsc1r,yo q f)obrm 3eration 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 a+,q8 qa(d9f0 v-:e f,wlpn ztb6yzn muutomobile tire rotate after starting from rest and accelerating at a constant angular, zm ed( 9b: l-nfz +fq8pn,qy60auvwt 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#

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

A wheel starts at rest, and has an a2+q uh 974i kbq(bjokpngular 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 decelerat(alpvnf o -p qh5( v9q:oy)-nges with a constant angular acceleraq)y o qn5nopv9-vh((-lf :g pation 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 gd+m ac+8: u2ae7jg.xa9tqq fturning through 2.0 revolutions. What is the average angular acceleration of the whae 8 u:qm+97gcdtafx .+j2qag eel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slowr pp (m1/5ksj0o r;wpys down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotatesp0 spwo/ rj5p1;ky r(m 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 uniformly from 8.40 m/au3 yc/3zt qj5s to rest over a distance / c 5qtz3ya3ujof 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#

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

A wheel of diameter qk/z.t) -d2jovoi uc 3of 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take foq2/ cuo viok).zjt -3dr the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical labor h1bowi+m2(t:zz mce dy1frt rmo.,/:atory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before mce:d+t 1i12r(b mho:oz,zw myf . /trcoming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torq-:elh+wl gcif*r0nlag,7.ekp - 7 fct ue of 90 Nm. If a 30 cm long wrench is used, what is tpcke,crffeglw0 7 l*ln-ht :. +gai-7he magnitude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of inerj rxoi-sd7fgo 1il.4x j l)/(etia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

A. $0.857 \; rad/s^2$

B. $1.17 \; rad/s^2$

C. $3.00 \; rad/s^2$

D. $3.50 \; rad/s^2$

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63#

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

A triatomic molecule is modeled as follows: mass m is at txzo :s;2ivo38neh f4d u) e cs 7p84or7w)hrlthe origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the orooep78 scodvh n;2) w3ez utrx4lf :s )4i78rhigin?

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 10u htq(zlvw-*04 e oksil0);bc kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 =0);o-vz *bui lcqk4t( hl0w se 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thoug wto .hir2yb:0f2+ 6lum6tdfi ht the center O. A rope wrapped around the outer radiu.ord6 : 62hfilt0iyu+ftw 2 mbs 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#

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

A 4.00-m long rod is hin- ,4 kxcpst/maa:ec8tged 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 ttcx/m e k a48pa-:s,tche angular acceleration as 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#

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

Consider a bicycle wheel to be a ring of radm mj*krze *+m*ius 30 cm and mass 1.5 kg. Neglect the ma*zejmr* +k*mmss 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 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 fri76nej-jaya 7a ctionless disk pulley of mass 7.07 kg and radius6ajea7-j 7yn a 66.0 cm. 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 rope wrapped aroundk: p49: 75a,e kglgv;uvxd lke a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleratiop5lv4;d gvka7 gkle:u,e :k x9n 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 energy. If it is required31ngz9+zbw xgx v.i/r 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 ik oqw 84ii;3yinertia 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 starts from rest and roce*eioe: ynn cf64 jj;/, 7lbslls without slipping down a 1.0-m high inclined plane. What is the speed of *cn/:fe c7 6sbyn lejio,j;e4the sphere when it reaches the bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and radius 0.010 m rolls wito0qlm2r 5l r.7swls :wh a speed of 10 m/s. How high up an inclined plane can it climl52l rwwo s.7sq:rl0 mb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg isrp h5g7(g8ge pw4jx-a g63pyg released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance gpr-5jx 6ah4ge7g g pg83(wyp 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 slo:x 8q)*o 3nem;hqzb dipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inb*3 ; xeo:zn)8hodqm qertia 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 momentum changvand2hd:x8;;ks93 t w :qbsk mes 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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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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An ice skater has a mombyu6i,: 5ci7:4ha pq*ndjdnment 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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A figure skater rotating u41gt+r sx5plviwpo )u( )6deat 5.00 rad/s with arms extended has a moment of inertia +)u)u5rx1 g4 ldevwopipt6s(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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