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

1#

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Angular displacement ia8vn5tlk*m dqs+,f nu 2n1b q8s usually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in u71 lxd5hq ukk-nits of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed in units/c odb65rp aca-0m0u m 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 is turning at a l hzybd.0up 1**7v eiiconstant rate. The boy is uzh 0.be plv7 iiyd1**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 turning atl b7cipj+r*tzdqdx9y/ jy l0/djz1 x*1d8v 6x a constant rate. The boy is near the outer edg1j1/dtb6 rqjz* z jd7 iyd/vxcpx8l+l x0*9y de, 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 at a mt-sgp6k +rfxlo hvm kgj475yi1j0, ,constant rate. The boy 0v4-sm oyh+j6,5i1rtgk pjk ,mxf7gl 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#

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A boy and a girl are riding a merry-go-round which is turning at a constant rate.- u 0lv1z5z vwfd-ffg. The boy is near the outer edge, while the girl is closer to the center. Who has the grew5l. fzdzv-g-ff01vuater 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-round which i,v-wqfer4+ g2b(rioo8vw) :sxojy 5 rs turning at a constant rate. The boy is near the o5rwb2vo fxrog+er - 48)s j(wq,vi y: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 rotatitui++ dgvpcddve5 k41 +la 0l-ng. Which of the following is an accurate st+0+5dlvicl kdet-+pv4d 1gua atement?

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 )gtr x0oqwu98 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. Thg+tq4n, fhuc zm8k19ue first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torqk19tf gnu uzm+ 8q,4chue?

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 applie-zgy0* dqz) v q+sevf+d to a door at the doorknob. The first force is applied perpendicular to the door;z)+sfvez-qq0 +gdv* y the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doov(dxu 5v6s a0brknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque of the se 5dbs xv6uv(0acond 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 g7+sp bqdlf /.measure an object's resistance to changes in rotatiold.fsqp7 g/+bn?

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 havef j/ w8go6ehw- the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smw6- wjgo8fe/ haller moment of inertia is

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16#

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Two uniform solid spheres have fapj 2;x;a4 adthe same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to th ;dfax;4pa2ajat 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 spherkabq6 +: yxj vktaj3ig ;um0-+es where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia tm+3ti y:g;k ja6u+axkjqb -0v o that of the smaller moment of inertia is

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18#

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A uniform solid spher3 .px2x/g:rxnd e-ngre has mass M and radius R. If these are increased to 2M and 3R, what happens to the p2red3xxx- g:g . nn/rsphere'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 applied to an object, that o 6ee04jcmst oztrz4 p(/wj**f bject will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis is givenx5j8 j aow4z u),k56ny cfezlt96j3ck by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kineticjzj3, xak eu w4olyn)j669f5ct58 zk c 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 ktc,e;eoqa01 fx v:5lng, 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 bike? Assume the wheelsx vealoc, f:;q0 5n1te are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without slipping down an i 6,wa m,lbaw7nnclined plane starting from rest. The lw,6bmw ,na7al inear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and rao osx98s nb8cb,*hsq/p 4o.nph9z8 zvdius R rolls without slipping down an inclined plane starting from rest. The angular velocitn p84/8h9ns*qs.bxpho, cz9oso v8z by 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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24#

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"The total angular momentum of a system of particles channyrt1v1b;5o v/,ual t ges when a net external force acts on th/v1 1,;5bvta torynlue system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular vela( mdu qs6.vzp7f)g76ejjfu, ocity of system of particles change without any u(d76. )6, zeafjg ujm vfsp7qchange 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 ij ; vhvt un9(dcipen55 (nb+,hn an elliptical orbit. Ignore any friction which may be present. What happens cn+(up5 (5, hv;inhvtbn9 djeover time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the E9wzxo;;u ,7 s7wyhtl azw,h+earth moves close to the Sun, then which of the followxwe,l9z;z7yhtso+hw 7 au;w ,ing 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 pullinip(de* j s8j+m r- :kc e*)h3f8nliuuag in his outstretched arms close to his body. What happens to his a echs8k+(rufj:dplaj )3** unim -8iengular 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 outstretchedg.yrky) qlk u*ie0hn()(fx8 zp+ pj d3 ar *0iekd8 .g)3+lnz yxjhq)ypr(f (pkums close to 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 fasv hpb1bri825 pt spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rota1p2b5vh br i8ption?

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#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

State the law of conservation of angular momentu2).ray 3tszrx m.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its near3/1cjsgd sr g9k*n u1xw/+ea ply circungur 9w1c3 gaj/ *s k+xe1ps/dlar orbit about the Sun with a radius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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The second hand of a clock has a length of 0.30 m. What distaaom zz50t;t)6oe-akt nce does the tip of the second hand sweep through in6ao 5 e);0 mtaz-toktz 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*ae20n0 mfbms, wasf08lnp 5s minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions i.6rc wijnr(v2 vs*)n sn 4.0 s. What is the frws 6(r*rcj.i)nv vns2 equency of 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#

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A pulsar (a rotating neutron star) 7l1 d1 nlk(cksa9jp 4-u.bizltzm7t,emits pulses at a frequency of 0.40 kHz. The period of its rotk1mjzzip lk-d,a9u7.tb7lns(1 l c4tation 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 uch vx lx7)q 67dfd/i4turn in 0.20 dlf7 c/qdvh )7i4xx 6us?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far will a point :npphn1(irc w;nz4 r 7on the outer rim move in 1:rnr4wpinzh 7p(nc; 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 uniformly through 2.0 revolutionsy jmuc /h,xc ,o j.;y5aa9/aft in 4.0 s. What is the averageaxo.c,h t9 ;a y/mjuja,yfc5/ 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 through 2.0 revolutions in 4.0 s. What is t 6 lnag-n 2kr2riuzj-/he lirlkjran-2n-ug 62i/znear speed of a point 0.10 m from 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 skif73l 5nz)h.gv90 2yy tnsgxiqers a distance of 6.8 km. The cable which moves the car is driven by a pulley with dgn72 yhszvtx0yfg9l.n 5i) q3iameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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A wheel of radius 1.0 m is rotating with a constant angular speed oamt4,g1hw nqii9l; 1 cw60bb*:eq nxspkb9*uf 2.0 rad/s. What is the linear speed of a xa9 *hw:k q6e 9ib ubwinp ;mt140sg 1qc,n*blpoint on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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The cutting cord on a gas-powered weed gguj*q wxln1;r+ *t 0ccutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end of the cul+g;t0w1 j ncg**rq xord?

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 conhmmq2vj+ jja1sy4 7,z p4 oq8astant angular speed of 2.0 rad/s. What is the centr j4a4ymho2mjq,p svj8qa 7 1+zipetal acceleration 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 centripe h3qo9 eo7nd. n vhsi8j 2.xn/y,2fbybtal acceleration of a point on the perimeter of a bicycle wheel of diameter 70.0 cm wh nyd8s,j/ny2i nq3hhe. xbof.ob29 v7en the bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions ovymumg 6v .h z9 5id 1ocg+xg-u0 ozlc7l3e:8per minute (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an artificial gravity of08zm.g5u:c9 ucye6 g o v7d i3v-x1hol+zlog m $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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A car is negotiating 4(ow8 7cwd i/khaok4ja flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static w4h k/d(ji ca7kow 4o8friction) 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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Mark Problem

48#

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

A car is negotiating a flat circular curve of radius 50 wd4o 2g 5q4mqx ms2q4+usl -omu0za*xm with a speed of 20 m/s. The maximum centripetal force (providedw 4sqluxo2 m modzqqmsg5x+a24 40u-* 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 the end of z(1-qw3zxqwra 0.750-m string, is whirled around in a smooth l-wqzqxz( 3 r1wevel table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

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 and radius 9.0 cm rolls without slipping 10 (*0l:: ve :eogegh fba(+tirk m down a lane at 4.3 m/s.hi:*0b : ( t:elfgrv+k(ae eog
(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#

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A wheel accelerates with a constant angular wvrsuj2jw/;3 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 conm wx;s5efd sk5c5 ri9:stant 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 2vk kr,if7aa3 radius automobile tire rotate after starting from rest and accelerating at a constant angul k 7faavr23i,kar 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 angular acceleration v lck)ty)g 88me;;zgs 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 with a constant angulak* v ,dah3ha03 c2luopr accelera,hvh a33 dk o2lc*0upation 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 cmp -x8ak,3rvokmzl rg1b;)2 .0 rad/s while turning through 2.0 revolutions. What is the average angular acm ;lm r v1ok,gr)p 38zabkx-2cceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slowu5nf*3kzc/nf8 n k8nau ep:+is down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutc unekkz8a3f5*: i nnfnu8p/+ions 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 uniformly from 8.40 m/s to restiyf,x)i y(g6o sn:b,t over a distance of 115 m. What is the angular acceleration?y iy)fbo,s6(t i n,xg:

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 from 8.40 m/s to 2ytj) .7kg o; erx;kuoo,t7e fdx36ddrest over a distance of 115 m. How lon6x; d eu3oy2d).7fx;o7jkr e,ogdktt g does it take for 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 laboratory bl5gura0 w.3*(f39 j /v-jvfrzyjzr7o bih1k rotates at a rotational speed of 3600 rev/min. *(jaf1f3j .vb7 o50 rzu kgv y3rzjbhr/-9i lw When 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#

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The bolts on a car wheel require tightening to a torq:g udnp6gi)dp;- ntf,ue of 90 Nm. If a 30 cm long wrench is used, what is the magnn di f )npd;-gg6:,utpitude 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 inertia +e tkw7hns;;y $3.00 kgm^{2}$ 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#

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A triatomic molecule is modeled as follows: maso6c ay 3i:6n; q7tffq.zue)np s m is at the origin, mass 2m is at x = a, and, mass 3m isqzfe)6yf 6on.tn3:u q ;ap7ci at 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#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis y)yk-wj0fifzgon g+)3 cx nrvl cg2qv57y(27 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. Akx-v2fcgoiln2y7) y + zn cj()vy0 7ggqw53fr second rope 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#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis t ir/g0sl-s -zi1ea/eh hought 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 sgh s/-laies1-r/ 0zie ection 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 hinged at one end. The rod is inedbg1l23 e3nech f7k;itially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about oh1e3e l ;ek2n3bfgc 7dne 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 and;8/5anyxpu ;ljgi2fu mass 1.5 kg. Neglect the mass of the axle and sprocket. Ifuyfxpn ia l;58;j2u/ g 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 frictionless disiqb9mpc41++f sqyg-rk pulley of mass 7.07 kg and radius 66.0 cm. f-y irq g+ cspm9b1+q4What 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 ou oq6 z:we 0fs;3wgkd54bs /fyn a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration of theey 3 sdfbzu6s ;w:4okq wgf5/0 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 required to yuc qa m+l iw+ob zdae5.:g1g1v0b3g)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 inertia oiebv9ujd4:)ksuk/q r k; l1a9f $5.00 \; kgm^{2}$ 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 a,+ m d,b4w,oawcm5psj nd radius 0.010 m starts 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 bot +b,ps5dj, mo,wma4cwtom 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 rl;c9 um(j tdx7adius 0.010 m rolls with a speed of 10 m/s. How high up u7 dx9(;j ltmcan 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#

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

A hoop of radius 0.50n d:i 4wbqv55x dxz+(38tlelc m and a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving af lx li(x :zbdqv83dnwc +5te54ter 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 k4ml ebot 11shst/x*zq38d p7sg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m lo d4smh* q8z71e1sl/pobxts3tng. 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 momentum changes byglh lmq k65;cru1 g/-c $20 \; kgm^{2}/s$ 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#

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

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#

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

An ice skater has a m( 6rxpqme,lywe en0 (5oment 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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Mark Problem

79#

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

A figure skater rotating at 5.00 rad/s with arms extended has a)dh4vu , aox w28 wgerjhi;c6+y2eh;m moment of inertia+rg;odhx ,he; mwcuah i)j 6822vywe4 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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