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

1#

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Angular displacement is usual4m 7lce.*qhr oa1k w4uly 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 uniby5 ,ifr vk--mts 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 ofqba.)tn e:xr-

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-rouy mri nr8s*w8ju2iy2e4kw ,9 end which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular di*wi 4u ye,2wsj ney8r9mr2 8kisplacement?

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 vnf*+unx elkg je781)turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Wholnneg+kx v7* fuej81 ) 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 consta7/o eh g7gsk -xnx,y.hnt rate. The boy is nea,n/g. she-kg y7h7 xxor 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 ridi6lx5 akjg )j9z81r9jnp x)zfhyq0xe *ng a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centf 0jxay*lze hpjg1z)9 xkx qj5rn896 )ripetal 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 s0.20 r3x1qqwescdm d96 rsieat a constant rate. The boy0 x.r01iedq qc w62e s9m3drss is 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 is rotating. Which of the followinf 3o57 3ixvlktp) c(wfg is an accurate staw kcot3v(ff )5il7px3tement?

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#

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

Rolling without slipping depends onqscbmz:cep 5+k5 g4:ef):ehx

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. Th/dvceu x+w (4me first force is applied at the midpoin(xv4m +d/uewc t of 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 f y0g0.wpt1/4e um ttqat the doorknob. The first force is applied perpendicwt fg0tp. y1e0 umqt4/ular to 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#

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

Two forces are applied to a doorknob, perpendicular tobc4gjat582u s a9d,ta the door. The first force is twice as large as the second force. The ratio of the torque of thajs 8t2 c gbdta4u59,ae first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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

What is the quantity used to measure an object's resispw0cyj83 i(piej ) 1 yehsa*bsq0)i3ytance to changes in rotatioy* )3asisi8)(e0 by3 yji0wqpejh1cp n?

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 boi )rqnh /8 gp-*1wyuajth have the same diameter, but one has twice the mass of the other. The ratiu8ng q y -iph1a)r*/wjo 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 haga 4*j;fdp, 7y xkqv59sa b7fhs twice the radius of the other. The ratio of the larger sphere's moment of inertia y,qbsg 9 a4;*5ffavdx kj77hpto 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 rc v,f 1go1 c:u.*ky2e nmo-yhsolid spheres where one has twice the mass and twice the diameter of the other. The rati2ekm :o fuon-,rv11cy yg*.cho of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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

A uniform solid sphere has mass M and radius R. Ioas b yblc2(;(f these are increased to 2M and 3R, what happens to the sphere's moment of inertasbl2(b c(;oy ia 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#

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

If a constant net torque wd g-.4olx 9r9mgxfp5i) ,jugis 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 about its axis is givec9/pms ho o7p.xjwx17y8 h/3 bhux 0ean by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic c071w/jx.xamyhp78b3 hpoose9 x/h u 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 of 1gx wop)x2 6g5c0 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the t2x )6 p5wxgcogotal 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 raaj hhyv4 * qqo*o.rqom7 *t.y,dius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom o*7yvmq.hhr jooqy 4.qot* , a*f 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 withobdm1(5z/kq ubo1 3vaiut slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottoaikb1ou3dm1vq/ z b(5m 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 cys b2a(a + s*v b*b.rrxk:hz2uhanges when a net external forcekxz*+ : hb *.arb(ss2rvybau2 acts on the system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of particmk.2;y n:esoax+o8 kpn x: -hle 4ew*fles change without any change in nle a-ym xenkh pekfo4: wo:; s*2.x8+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#

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

The Earth orbits the Suo2 ywwf r1g p3mm(36xun in an elliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentugp13 m2 omwry3wxf( 6um 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:v *2rqgq:3ln ae+ cil the Earth moves close to the Sun, then which of the following best describes the o:3q crln * galev2+qi:rbiting 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 outstretched dnp 8 *e46ebyrj1,jyvarms close to his body. What happens to his angular moev8pb,* r4yye 6jd 1njmentum 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 fastp;t9 9j5whtgybv- z3j spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axispjgjzth9t35y w-b v9; of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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

An ice skater performs a fbp 4z/wn x(1wth1 gk0pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axh(wn/41z x1wtbf0p kgis 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 conservation11+y. l ipu5uqs9 af fkjm9xm+hi6y5d of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its nearlyg hs7x1v1eh2 7j9nrf :5q deku circular orbit about the Sun w 7s59ek:rd j2 vefq7xhgnu1 h1ith a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.30 m. What distance doefzfh qk h *meb(5:n/uy: ,sy*ns the tip of the second hand sweep througehy:z: smnqy*,k *5( uf/fnbhh in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25 revolutions ye rvkahaa 07 ;mg65 ac-4)6dfkp9bnoper 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#

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

A bicycle wheel rotates uniformly through 2.0 revoln :b*,(zcs kg ft2+qe .p ndye83sl:iiutions in 4.0 s. What is the frequency of the wheelfg c.ketzl*+bp3,8iqsn :s eyin2:(d's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0; r rt/4gfhvd.+xfvd7 .40 kHz. The period of i4drvfv d.th;g+7/ rf xts 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 dop,2wnl mhjs87 es it turn in 0.20 s?lwj 7ps8, mhn2

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 6+o;fjxmb+rd. How far will a point on the outer rim move in 2.1 s?rjb+f6 xd;o+m

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 revolutions in 4.0 s. What is the uhw:0m v41jo,ibu 3.hke2qlj average angular speed of thubwh:0lvi ukm,eo.jjh1q24 3 e 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 a8nkv2z lw1 .jin 4.0 s. What is the linear speed of a point 0.10 m from the center oflkan.j2 v 1z8w the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski resort carries skiers a distance of 6.8 km.4s(t,bvd 8g nu The cable which moves the car is driven ,bg8vdtu( 4s nby a pulley with diameter 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#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 gp; ynpopl2 2m.gxfp r84n;p/rad/s. What fn/2px 8m.pg g2plno4ppr;;y is the linear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 0.16 m in length. If thpyhqv.s :: :kle motor rotates at th:hsyl::.q kpv e 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#

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A wheel of radius 1.0 m is rotating with a constant angnqtoqpvt0upbd*21 5dlk ,p(w9o fa48ular speed of 2.0 rad/s. What is the centripetal acceleration of a point on ta 1ut4p ft9d(qbdl p8v2n*p o,k0q5 owhe 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 centripet5h)k p5melp p-al acceleration of a point on the perimeter of a bicycle wheel of diameter 70.0 cm whkh pp5-p )lem5en 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 per minute (rpm) must a cixtswku7j( o pzuw) c.+ ;r79vys y;l2trcular, rotating space station (r = 10wj79 y )rtkvxu(syo;z 2+u7 .clsw;tp00 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-u uvl+*sm 1 4vfstz3at*x/+/ iky mrh a flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) kmhx4i/a- ++ uv/lut t1sy3m*f*sv rzis $1.2 \times 10^{4} \; N$. 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 sb8 wi3hur1s *owoo lj6u*x6d/wq*uf e6:q e0vpeed of 20 m/s. The maximum centripetal force (provided by static friction) iss8*ivqro 0ew*uej xb6uulo1w*q w6hdo:/3f 6 $1.2 \times 10^{4} \; N$. 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 vga+,6 8yg jgqof a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 Nv +, 6aq8gjggy, 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 slipping +1vnm 7o,)tt wu,an bknxb2c.10 m down a lane at 4.3 m/s mub)+ otnxt .ca,kn27,bn1v w.
(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 v kq/v o 5u-*pt,k-eniangular 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 withi3vd+wn q9l ) btfwd7fa6hx1 ) 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#

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How many radians does a.+yu/cf sl f9babl5o- 0.300-m radius automobile tire rotate after starting from b5y /bacs +fflul o9-.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, and has an angular acceleratio au4ipq*p9snzn,bo8 gsve,km* (hp5 0n 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 ds1wn1li)b bl g:bsp;. ecelerates with a constant angular acceleratiibl sw) bs1pbl;g.n: 1on of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s whipc 4vbps 6o(7ek;xh.qle turning through 2.0 revolutions. What is the average an c(;ok4p7 6sevhpx.qbgular 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 ofqx7icflr a -k.hx5wa5i:2-hi 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the totalliafx khr ac-5 7h2:wiq i.-x5 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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Mark Problem

58#

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

A wheel of diameter of 6ig lnbz8pev g ;/0l6wq29djzl/.bg2p8.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 2.8 z02plj ed lgnw bl6b/zvgigq;p/ 9115 m. What is the angular acceleration?

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

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

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

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

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59#

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

A wheel of diameter of 68.0 cm slows downynz0n.jmt g c mz v(j+fc53w5/ uniformly from 8.40 m/s to rest over a distanc/ t.5fvjc 3(mynz0nmg+jzw5ce of 115 m. 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 ro9yct, bg. q5snuh.,hltates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular accele,tnbu.hy,hsc5 ql .9gration 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 rhc6r 7n grua0(equire tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when tr (nrh u76c0gahe 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 0 xk:+( o cav;ygqr.9zqyls:g 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 modeled as folg -r /ukb2s5ai (tig7slows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is tha2sr( bg/uk i5sig 7-te 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 abmubgi00n mp:tq1e)8o out a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a )igb1mone: 0qp m u80tforce 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. (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 p uskhswz.-yc25map,r - i/uy6ivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many kh/2s iup5-c,s-zwya ym r .u6radians 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 td;v2cg ndeyw kc))52zj *rr .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 one end is Mkjyzrv c2e2)) dr; . tcg*nwd5L2/3.)

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 .g8ze-zsh42k 1zkt a g:ahtj 7p56pxu30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming itsz6h1hz gutx-k8.pa 4zpga5k j7t2 :e 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 disk pulley of masbde(/9 f6uebzyj ua4-s 7.07 kg and radius 66.0 cm. What is the/b6-j ezu4 bufade( 9y 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 a8jel yp+lcqr3 1brh) 8 frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the18 h)rryb qe+c3pjl l8 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 r,frzx i-.x 2bntul(;8g7ilc to store energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inertia of j e5-+n*ih,jw oxcx3o$5.00 \; kgm^{2}$ 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 6-hdj 13kvnr -v bjg6tradius 0.010 m starts from rest and rolls without srdgtb3j v h6j--n16vklipping 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 mas dpuh oqvf;g-3 d3q. wpuo8p1,x5vw45*edtwi s 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an ineo351ogq ,w8dpi4pf.hv;xdwud 3uvq w5p t*-clined 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 0.50 m and a mass of 0.20 kg is released fromr r1n4bl*l5z x4*hxuk rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance o l lrun54bz*1rx4hk*xf 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.na jjq :-a*d4l5 kg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. dj:j-aq* l4na 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 momentu/4ff i f,ytkx8m changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

A. $1.28 \times 10^{-21} \; kg \cdot m^{2}/s$

B. $1.76 \times 10^{-21} \; kg \cdot m^{2}/s$

C. $2.14 \times 10^{-21} \; kg \cdot m^{2}/s$

D. $3.20 \times 10^{-21} \; kg \cdot m^{2}/s$

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78#

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An ice skater has a momen(fac5jw ,1czs.jub 5)gwfp5 k t 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 k*627yr(as*0kxbg2 wjufi n mhn4:ex has a moment of inertia ofrb2 ueyxnk ji0h67 (g*f2nws4*ak:mx
$2.25 \; kgm^{2}$. 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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