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

1#

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Angular displacement is usually express i1d s4u/b act9bn units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in units j:81ox 3rdqx9 g1wg f /q;pjxd h.pws;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 rp;/ fz4if,ti2rj b09vr 1q6q0q5v9 erc n qdhunits 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 consta.2pmok 536 bwym xcdh+nt rate. The boy is near the outer edge, and the girl is 5pd+b ykch. 6omx2 3mwcloser 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 iklb 6.b( ki a g23ik;ml+e7csa merry-go-round which is turning at a constant rate. The boy is near the outer .lklek;b b(32scm7i+agi ik6edge, 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 turnin b9lpmij 3(t:oh) 7qxbs)wz0r g at a constant rate. The boy is near the outer edge, and the girl is closer to the cent(z9: hrwso ib7lpx0btj3)m q)er. 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 tur9hi .zlg 9s7xgning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has9s7l gihgz .x9 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-round which is turning 8q3*5f1w(kyidt4f*fe fovywat a constant rate. The boy is ww*ff*1qi f3(e4 fvtdoy8 5yk near 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 :x3cp;ty3bm068c7 fr lfrxcs is rotating. Which of the following is an accurate statement? c; yrxc363xb c8frl07p mfst:

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 depen(-h8);2iw we0uenfuc bdefe8 ds 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 first7i c ccluda.;2 force is applied at the midpoint ;cla2.icd 7ucof the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The first -hqype v2+-r*x)mq0u7pbm gd force is applied perpendicular to the door; the second force is appl -)up ey7d xvr*gqpb0+2m-mhq ied 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, perpendicular to the door. The first forx4zjvt*sbjh2g /k g 9r(sr9;f ce is twice as large as the second forr g2s9kgjs/jx 94; tr( *hzbvfce. 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 meas ajva3i.: gfixa)dfwskiy703)yv+y. ure an object's resistance to changes in rotatisy7ywj3ig+va)f .)axd fk:yv 0ia i3. 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 diametjrceofsh vx35m k:ikuop* 0.2t -kd93er, but one has twice the mass of the other. The o9der3fx 5tm23cui -: *sk v0hjpo.kkratio 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 have the same mass, but one has twicg.j(faabqj- ,uk0d q8a1teg(e the radius of the othe kjdg .q,fb-8tugq(1aa(a 0ejr. 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 so-bjxy k(qr3 bl:ea q01t 7vz2llid spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that o-k7b yrxjb12l:q etl( 0vqa3z f the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and rtf/:z1lg c ntq 0t:hum5rr. g;adius R. If these are increased to 2M and 3R, what happens to the sphere's moment of inertia about a central axr t:gt1ufh;/ cnlgqt: .5 zr0mis?

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 is3/t29li;akl,gw osmddt 3;6 zks jy8t applied 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 of a solid cylinder akn0 r5qmp ab+*fkl*2wtl -aa5bout its axis is given by 0.5 MR2. If this cylinder rolls wi5rb *k 0-wqf la*n2mtapa+l5 kthout slipping, the ratio of its rotational 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 masst lcj ,ln*q r:x*oj7umn,1ob0 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 l j, ,*xj0o*brqon: 1 luctm7nthe 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 radius R rolls without k *e/a(xyvqbx7 )br,islipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline depends on a*)bxy bix7kq/evr (,

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 anddrujmbjoil++cx5 * ;4dm.ka/ radius R rolls without slipping down an inclined planadjb+. ;m l*x+5rjod 4um/icke starting from rest. The angular 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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24#

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"The total angular momentum of a system of particles ) 5:9r nj fq/f5j4xmz+,jf 9rukhw yalchanges when a net external force acts on the system." This staterfjkxwajzm q,r )hnju4+5f5y/ 99f :lment 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 ty.bk4bytlf:o a)z 7-bvt-l)v he angular velocity of system of particles change without any change in the system's angular l.) -4l)kba y7y:zfbo- ttvvbmomentum?

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 frii fa*7z)6ke up zqyyb(n3jue-hk 4m -+ction which may be present. What happens over time to the Earth's angular momentyauk-menih-4f *quz 6z3e )k+y j(bp7um 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. dv,3 x4hcd+l w As the Earth moves close t4 wvl,+c dd3hxo the Sun, then which of the following best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstr q/5 (w4v:lyku;tkx tietched arms close to his body. What happens to his a5 kqyt utlw:k 4/i;(vxngular 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 outstretchedhz)*b3wpge 1 0ew:xxkz(g)9 t0gi uaf arms close tof1gw0 bgai*p3kxe0z e:ht) g9zw) (ux 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 performsiok nud :721gg cme*. url,z4d a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to eggd7zu1 :4,l cm*i2nd rk.o uhis 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 conservation of angularn 5*;h 1o) xbxenhtt(3 3iucgu 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 three month period in its nearlyet 8s0 lhl ,xlc4dk3:b circular orbit about 0,exc : l bl3hdtl4ks8the 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 distanvkv b- e038f1m*c+f n*y6:zxy qgrhjnce does the tip of the second haf *ghf-+0rn 6m yvjzq31:kbvec*x ny8nd 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 revolutiqzi+yq:49c yo ons per 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 rotate yupoi *: :kv,j.jmhk0w*wrg)s uniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wg : irkvhwup 0) *jywo*.km,:jheel'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 pulsesnxe5hzx1 :w psc6h0s4sf9ce + at a frequency of 0.40 kHz. The period ofc56s 0s4ex1z snh:+9 xh wpcfe 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 iah.eh94ta*o4h d qfyjrf b. e /:,3dust turn in 0.20 s?r h4djhh o*e 9seaa4 f.y:fb, 3/dtuq.

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 f ui/6vp ncf*q2b d5e i81f;izcar will a point on the outer rim move in 2.1 s8pefi2 u znbcfi;1 c i*6/dv5q?

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 revolutions in 4.0 s. What 8t4pj 8rvj)hqis the averaj8 tvqpj4 )8rhge 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 throu0trgaj4)s0lz gh 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the center of t )l0rstz 0ajg4he 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 y/w d::eb. k.cartb2cdistance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippaget/ wbaceryb: 2:c ..dk, 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#

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

A wheel of radius 1.0 m is rotating with a constaq+p nmqoy ,avj*t .,y5nt angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel's ri,to*.+ vj yyq5qnp ma,m?

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 cuttek 0 yu7;q 3dq .,tpirtnjfy1k7r is 0.16 m in length. If the motor rotates at tfj7 uqkr dt.,0pykyn;tiq 731he rate of 20 rev/s, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotatinjxf be3x2-acl4 dz6-)grmks :g with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration ofsb6e m2 )gxrz3 ja xdk-c-:fl4 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 accelert f3oq:vh ,poa6i/uy 6ation of a point on the perimeter of a bicycle wheel of diamett o viph6:o3q6fyu ,/aer 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm)xp., iik :0x2foio y3s must a circular, rotating space station (r = 1000 m) r y,i oo0:3xxip2fk is.otate 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 a speed of 2rueb*b)sa s3ad)y7i ;; ;bbgl.z+myf0 m/s. The maximum centripetal force (provid+).bd;e 7gism3zab *ba; sy)yfb ul;red 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 a flat circular curve of r0 cqc18ts-w bgk wsu7h)(fr 0x lms,e3adius 50 m with a speed of 20 m/s. The maximum centrip0,h w tsus8 7c-f1cbxk( 3e)lmrq 0wsgetal 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 the r1un 92n* 2si/l 2b4h7fykuji5kkah iend of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string cakjk 1ii4na2bn 5h2y2/kr7 sfu9*iuh l n 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 9.0 cm rolls without slippiugxc)d 3pi4p z-.ri- /a.skj ang 10 m down a lane at 4.3 m/c)3i/ipuxg -p-a 4zkrjs.da .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 /stx0zrgn5 /q4c dcnes4vq; : 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 acceleriv;(kf.x9wl5vd n 3 3sbarv7eation 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 automobile tire rotas- n2o fn zep9r), +.owwbs6bmte after starting fro.oobfs-9r pn b w)s,2zm6+wenm rest and accelerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, sgv 6hh/:nce5and has 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 decelqbzf9,)ttmb 1)5z;nqas;s ci erates with a constant angular acceleration 5 ,mszq)fqtitb ;c1)bs;nz9a 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 radir;-kl 83uv dk/s while turning through 2.0 revolutions. What is the averadk-ki l8r3;vuge angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down unifokn6jla )tr/ 0grmly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotatesnr6g/jlk)ta 0 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 do;k)7azy(i on ewn uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration?ay zo(n;e)7i k

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 un+i7n9w)5uxc-etnsv 5 fs wq2 niformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for th 9)ntqis fwen uwx+vc-55n 27se 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 rotates at a rotation sbq;pb *p6 kisg*:yni6k1ib1al speed of 3600 rev/min. When switched off, p1b6g1;*bksyi6 b qp i:ki*s nit 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#

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

The bolts on a car wheel require ti9fwj 5d ijk.vh ;5tm rzi82c:vghtening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the forc. i tmzv2 ik cvhfdr8:9;j5wj5e 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 od)qh; ro,6tt ff inertia $3.00 kgm^{2}$ 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 mo3r r4,8civma slxi);xdeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia abmix;4,l)rr 3avxis c8 out 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 fruvk e v9 ss.4d3qw. osr1:fi 4a33dvgkictionless 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 = 0.50 m exerts a force F2 = 6.fsuo4 dg33. 4sw eivk19dq.r:k avvs3 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 m zvu76n s 6/kihcodu:sj(+b 5lass 10 kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A secon7 d j(uon:sis5bl+c6kzvuh/6 d 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 hinged at one end. The rod is initially he.3d/l ke+)lys pnbim t. l-a*jld in the horizontal position, and then released as the free end is allowed to fall. Wytldls m.enbl*a-+3./ )pj k ihat is the 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 radius 30 cm and ma8ak xaubaw u9/ib+dk*.g.m3 ass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of r.ka x3bikg 9mwaua. *+8adub /adius 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 arom myc7c8-imsav ft073n i(qh/und a frictionless disk pulley of mass 7.07 kg and radi 377fvmcmtn-mq8h i/ac0sy i(us 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 around a fric(spx axr qx:4 vmyp.6;tionless disk pulley of mass 7.07 kg y p;xvxrx: (.6q4msp aand radius 66.0 cm. What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store energy. If it is required to sto9.98kvah fhhaa8j hn:re $1.00 \times 10^{6} \; J$ 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 of8lz f93n8fifh inertia 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 aeoc 1+lx :o.s 4chgnl.nd rolls without . o 4ln:cg+ch oel.x1sslipping down a 1.0-m high inclined plane. What is the speed of the 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 mofu);(/ y rs *ewungetc.z.+ k rolls with a speed of 10 m/s. How high up an inclined plane can it climb before coming y t/ugo+.u.ce (zrsn*)fw; keto 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 tm0(.9b6 ighbgqhl(oof 0.20 kg is released from rest and allowed to roll down an i 6tlmi9 .o(qhh (bggb0nclined plane. How fast is it 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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Mark Problem

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 slipping edexm-982a .t+ a qyxddown a 35e incline that is 7.0 m long. Assume it started from rest. tea m9e8xy d-a2.dx q+ 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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Mark Problem

76#

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

An object's angular momentum changes g8ltns2 y 7c i1,4jijraw.x0e 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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Mark Problem

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 moment u0/uw- s*t /cdjo xkoca:+r k,of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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

A figure skater rotating at 5.00 rad/s with arms extended has a m 5 4lfqomt (9f kptn -zrc4hp8odi3o34)ako( moment of inertia of3h(n -3k ocq9ko tmdpfzmofa4)t(5r 4o8ip4l
$2.25 \; kgm^{2}$. 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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本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
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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