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

1#

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Angular displacement crzth0e 4xk;) e2i1lf is 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 in4i: jnx;d:d ;f p, bj)9xueehq units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed in r6,9l 8wta4f-xaaz ffunits 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 nougc b4wn-*1 a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angularwnc -b4 *ugon1 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 c/8 w u m)s*nhea2mc7fjonstant rsma*8c)ufjn7h me / 2wate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a mer.n(p 5byr caaxa4:;9 1yhyz kiry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the cena.i9;yyan r c(z4pa:kbxy1h 5 ter. 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 wh ipfv 55p86dhfich is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. fv86 5dfihp5 pWho 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-rounddp)a9gn1/msd which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who gd 9p)mn1 das/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 followht coi. ioe :9fk7hq3z107q6+jodyv cing is an accurate stat.ic3jtdo0hof+1vi9o7zc q6 y h7kq: eement?

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 slippind t p;jo/q* *0indow/fg 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 are4x gd7zna04vr applied to a door. The 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 t4r x0g7dza4n vorque?

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 sc ;rgi(w,uac sp98 posddm *uw77d(9a door at the doorknob. The first force is applied perpendicular s*is 8;do,ms g(acw 7p7u9rcup9d d(wto the door; 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 doorknob, perpendicular edx n:qc,s 1)b46nd lqa)l y1rto the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque q n6xd4c )l1,l:naqd)1 r sbyeof 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 +0 wzlywb4 .);r4qewvm 9irbm8lvx m 6measure an object's resistance to changes in rotatiwl. m)9 wyr 44;lziv 0mwrx8 6e+bqvbmon?

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 haveb ,p6 ;(owdxtw the same diameter, but one has twice the mass of the other w(p ,wxdot6b;. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres k)cqhrjl.tw wc 72*j0have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's mk.jwlr0* cth w 7cqj)2oment 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 mass and twicnu sqcua(:-)at 79loz+bgm0 kqy8d *x e the diameter7 xu yulg -n+md*k() oc z:asbt9qqa80 of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these h wxe,.i/y )lzj8sh+j, kj2 xcare increased to 2M and 3R, what happens to the sphere's moment of inshzexcjk)j wy,8j/2+lx ih, .ertia 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 witt1n52utmw*(sg y 7qd ll

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 gi op hev)3wklp o 9w9((zd5zeow (z0)oaven by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic enerk e(oz(0(v3z)oeao9l z9 who wpd)p5 wgy 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 has a mass ob )6ssei9kw.2szz 5vls ij(3 bf 10 kg and a radius of 30 cm. What is the ratio of the rotational kib (6s2vw3s.szbl e s9ziij5)knetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without slippino.i;:02uzumh oeq jn1 g down an inclined plane starting from rest. The linzu u1o;o2i.: hmj0ne qear 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 radius R rolls without slipping do2vxh jxh e.)o:sm// zmwn an inclined plane starting from rest. The angular velocity of the sphere at the bottom of tho/x:)h xjmm .shzv2/e e 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 partiw+els 9s vvuhm2e)1r sxeu4sdt7j4 ;0cles changes when a net external force acts on the system." This srssew)h;e s9 t7 su1 x+4jvle4dum2v0tatement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of particlatkhe,29do f 4 dukwt-25n0qjeu( u8ues change without any change in the system's angular mo 5ktwta-h2 94u2fj0qee k8,(und ouud mentum?

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 ind s/wmuy*32 wg an elliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's a3w su*m2gwdy/ ngular 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 thxgfsr h+f8kk67kqi: 6e Sun in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth 8k7kirfg ks6f+xqh:6 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 outstretch dik41y y80jbpq0n hc9ed arms close to his body. What happens to his angular momentum about the dcqjpn0y94b 1 0y hki8axis 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 outstp*4j dlh , 4x:yq-oihrretched arms close to his bodyh:y 4jl4 xodi,h q*rp-. What happens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette (a fast spin) by pulling iy0- lz9z5yoa-.ialdn n his outstretched arms close to his body. What happens to his moment of inertia about the ax iny.zo0a5a9--lylz dis 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#

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

State the law of conservation o2sq715p)xbo: -aim k*teife .g4x pp jf angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month perio4b0k5:j6j 1uwotfbnn d in its nearly circular orbit about the Sun45: 1jnno0u6jfbk w bt 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#

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

The second hand of a clock has a length ka*dl:a+6b(4 wprnzg of 0.30 m. What distance does the tip of the second hand sweep through in 3 minute4 *+z6pl dn:wa bkarg(s and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minute equivalent trewx2z e.rz -5o?

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 uniform6,akmtmj j,jsa)4d:g ly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's roj j4 j)s:mg6d,am,ta ktation?

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 pulz 7p*zw+wkq* eses at a frequency of 0.40 kHz. The period of its rotatkp7ww zeq*z* +ion 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 in 0tt c 6dgcio 2m* hum99smd4s3*.20 4ms9ug6dd9ti 2ht*mms *o 3cc s?

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 sbw0 vrd 4kemq0yuh:7qk4b8/rpm. How far will a point on the outer ri: ws4h7q/bbkrkd v04mqe8u0ym move 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 uniformvj3rvw ))x dj2 pvy(g9ly through 2.0 revolutions in 4.0 s. What is the average a3)v2w9v pvyxj )jrdg (ngular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What iss q.dei,yg:o3 the linear sq oe:,. dgys3ipeed 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 caen -(x(cng6wb+/n ag;q)nys vrries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make q(;exgy+bsca) n-nwgnvn( 6/ 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 withzrk /h .fl(/mh5hlp6l a constant angular speed of 2.0 rad/s. What is the linear speehl plh6rkh.z(fm// l 5d 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 ween nz9 i4n1ihqh/ m9i(pd cutter 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 hnnz9 1ni i 9i(/4hpqmthe cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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A wheel of radius 1.0 m is rotating with a constant angular sphjd tb2e4w 1r0eed of 2.0 rad/s. Whde0rwb4t21 jhat is the centripetal 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 centripetal acceleration of a point on 6xs 7/in w9)x nvi4zbpthe perimeter of a bicycle wheel ofin x49)z6bxs7 vwpni/ diameter 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm) must a circular, rotating space st3; ,yqc0x6w .fzq2s;ijgevul1pz:t pation (r qy2;pt,ve izx1f qgsl;u0.cwz:3j6 p= 1000 m) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve of radius 50 m with a spe9.2fvt c 3 vu-uvyf4g1bs;l soed of 20 m/s. The maximum centripetal force (pro.f 1-vv;9gsuyfsb4 c2tlvu 3ovided 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 radius 50 m with a spee umqyaml/y1:tbus8/j(62uwe d of 20 m/s. The maximum centripetal /6ey 1au :s tm8y/2uqmjlbwu(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#

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

A 0.300-kg mass, attached to the end of vc0q l t4)4uca. vqx7la 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withsv4 7a0 qvcul txq)l.c4tand 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 cm5:x ca,+sdkcp rolls without slipping 10 m down a lane pcx,:sk+c a5d at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angular t db6au nc-n2 y7))nsaacceleration 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 8rt6- 1xlgawqp4jqg ;a constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m radius automobile tire rotate after starting frqin(c b+y2.cn oh* 0gzom rest and accelerating at a consq2h+0. z*gcnb( coyintant 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, and hih xmr) 0:i;4un vmwsu2qp:p2as 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 0im5l evbzp .920 rad/s decelerates with a constant angular acceleration ofv m0.il9 5bzpe $-5.0 \; rad/s^2$. 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 turnvt)b(xl 4 z xx2u30m xe/3cjt,yjw9tm ing through 2.0 revolu(tl,x0y9/ j2x4ct j )33 mxmuxwtebzvtions. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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 rest*3l lnjkc(w- 7hs) ikr over a distance of 115 m. What 7*(jw sir h)nck l3kl-is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to recp4e:g5eaqktabf5biy11 9kwsld0 8 * st over a distance of 115 m. What is the angular acceleration?1b5ka81s*04t e9epay ligbdqcfk :w5

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 dqp jyd3*ctj79( n lw9down uniformly from 8.40 m/s to rest over a distance of 115 m. j*7ynwt 9pc ql3dj(d9 How long 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 rot lh b,2v7tkyot.ngy/s/ n7x /rates at a rotational speed of 3600 rev/min. When switched /l7t7 gn/y.xr y h2v,k/n otbsoff, 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#

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

The bolts on a car wheel require tightening to a torque of 90 Nmhv4a)etr h.6aj1e l* m. If a 30 cm long wrench is used, what is the magnitude of the force required when the force applih1v4 e6) larj. ea*mhted 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 in sk7r sgcpb,;.:wn 81)x *, jbfcixbxvertia $3.00 kgm^{2}$ 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 i o -5mc7qhut6bs modeled as follows: mass m is at the origin, mass 2m is at x = a, and, ct5hb-u6qo 7m mass 3m is 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 frictp. hq 1d/e x8-q:zizs19+3cgnnml vjqionless 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 = 6.0 N doe1 q x/ .-gqczsm31qjpnlvd89z :i+nhwnward. (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 abo6i(m66 wf(z snp6c1h /vkvh ecut 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 = 0.50 m exerts a force F2 = 6.0 N downward. How many radhz6hsviw c f( 1/knc6p(emv6 6ians 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 held in the hc.a+8(8ku q qp0wbpwc.if:xw orizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (Thea wq 8ww:ci x(upb.8pf0q+ck. 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 xj qx738op2v1 lb0jdh to be a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle anq b8vxd 2l x7jho13jp0d 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:x4) ga0r *xfhqj iwv3 a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration of the pu3xvg wx4hif :rq0j)a *lley?

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 frictionless disk pulley sw 3a; owmn9r s.g7fo,of mass 7.07 kg and radius 66.0.o g s;w fo9a3rwsn,7m 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 store8/v 27 vogkvsd $1.00 \times 10^{6} \; J$ 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 ofg9 zxc coq1nu. j,p( vmcbcr:6j/k0 -o 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 andj5 in2z0oe4wx)ui kx 3 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 rexwiu3e2 jo)zxki50 n4aches 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 andl,( 6y el46igz iuwrm3rku1t * radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane iltr4 k*gz(6 mue, 1y63liurw 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 0.50 m and a mass on l +)j5zea9ardt w;2n y5n4ncf 0.20 kg is released from rest and allowed to roll down an inclined plane. How fa ;aca e 9dz+ynjnnl t5rw542n)st 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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75#

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

A solid sphere of mass 1oy r 2lr:ci,i*.5 kg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is givery*lc :ir ,o2in 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 changesh2jyz 9cu-er7)pa,5:a b xuzd by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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 oftm:ebix4u4 6 s 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 i4.r 7yutc-v s5.00 rad/s with arms extended has a moment of inertia- c4iruts vy.7 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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51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70
71	72	73	74	75	76	77	78	79

1	2	3	4	5	6	7	8	9	10
11	12	13	14	15	16	17	18	19	20
21	22	23	24	25	26	27	28	29	30
31	32	33	34	35	36	37	38	39	40
41	42	43	44	45	46	47	48	49	50
51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70
71	72	73	74	75	76	77	78	79

1	2	3	4	5	6	7	8	9	10
11	12	13	14	15	16	17	18	19	20
21	22	23	24	25	26	27	28	29	30
31	32	33	34	35	36	37	38	39	40
41	42	43	44	45	46	47	48	49	50
51	52	53	54	55	56	57	58	59	60
61	62	63	64	65	66	67	68	69	70
71	72	73	74	75	76	77	78	79