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

1#

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Angular displacement is usually express in units ofcfn 2 ,,t-npo3 umkk6t

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in unit+f26 ryxl3 c(kjo h8eatlwc -2s 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 es, e)(vs;nx- wqgqt 4 l;t9qspxpressed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a me 3)vxchds .p2r*vf jb 3,kh4pjrry-go-round which is turning at a constant rate. The boy is ner .3kc*4j23p)vhh x vfjdpsb, ar the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round which is turning at a const4-xp+97mgge7x yh7 bbwd0jg cant rate. The boy is near the outer edge, and the7j4c+ 7h g7exbxdpyb- 0wgg m9 girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turning at a eelj1oxb:) jj/cj3l4 constant rate. The boy is near the outer edge, and the girl is closer to the center.oj ex 1)4jejcl3/bj :l 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 eh c 0vvme-)x7q zi/;kis turning at a constant rate. Tiz- vm)cve0hx7qe/k ;he boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is turning at gh;u rs4u -jj5gln(;na constant rate. The boy is near the outer edge, while the girl is closer to the center. Wh -h( s;54uurj ;gljngno 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 bod3 w6uc8cj*vq ) ohf9xgy that is rotating. Which of the following is an accurate stat9u o 3jxc8whcqf6*g)v ement?

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 slippingv8as) -b/2ocsfs .owo5eb f* v depends on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The first force )jowbb9mmy2vv(e3 e 6is 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 e(3b v)me2 9jvmwb6oy 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 doorbk,o -qysx:)3,*pij3 vae wsldu mw/:knob. The first force is applied perpendicular to thek :qes 3wvm*,: o)ysl/w dj3-xpi u,ab 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 to txioj/uw 6w725whn :jv he door. The first force is twi j/jwi:h 7x2wvu65on wce as large as the second force. 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 measure an object's resistance to changes in rl61x3qwck. uc otatio1 kqw3cxcul. 6n?

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 havevli8 faw,0 +ef the same diameter, but one has twice the mass o8lwf+i,a 0vf ef the other. 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 spherz+g(6 ;skeh1yvh3ld aes have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's (h z+h1s v6 aky3e;ldgmoment 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 wher hp(pv25vf; gye one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smalle g5fhp;vvyp 2(r moment of inertia is

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18#

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A uniform solid sphere has mass M and radius bl) +6c bb4:lq ojf,jtR. If these are increased to 2M and 3R, what happens to the sphere's moment obj bo6 cqf:lj +4l),tbf inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, that object enq4.79v4k bc0q bx/qej9d dfwill

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 iz n7:ffge,/ystl(g8 kts axis is given by 0.5 MR2. If this cylinder rolls without sg,tsf (yn8ek:f/z 7l glipping, 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 mass 150 kg, one wheel of which has a mass of fojqg7*1t:mt f+io,e10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic en1tiqfo e,*7tmf: o+jg ergy 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 wit dgdhbb2v.co 5c.3txu/+/bc k hout slipping down an inclined plane starting from rest. The linear velohu3t.2cdc.5 bocvxb/ g+ dk/bcity 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 wk cxt j 1e mvwgxak6,))5vk6w4ithout slipping down an inclined plane starting from rest. The angular velocity of the sphtmxvekak, )g65x )k1j4ww 6vcere 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 partiddhd0 ed.y2ctpjxjn (m8 /.h 0cles changes when a net external force acts on the systeeh(d0ncdt.x pmjdd2jhy 0 8/.m." 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 particles c2 o *be:cyft/8lfz n0mhange without any change in the system's angular mofct 2b*f oe8nz l/0:mymentum?

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 frictiks u6 cq*:btjs+,yw6my2 6rfxon which may be present.skyj+w yxs,cr6t66 u2m fqb:* What happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun io0 v-* 3 ;ommansvsjy(g f6nw;n an elliptical orbit. As the Earth moves close to the Sun, then which of the foj;6oso v-s fmn0ya(n *vgm;w3llowing 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 pullin- -qyuq00(r;xkgmq- i(d xiyr g in his outstretched arms close to his body. What happens to his angular momentum about the axis of rm-y;xu rqq-0( k- (y0 qidgrixotation?

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#

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

An ice skater performs a pirouette (a fast spin) op; gp) ye.6;bbhinuf xr61.q by pulling in his outstretched arms close to his body. What happens to his rotational kineti ;)6h6x1qfre oiypg.bn u.p;b c 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 in his outstretche cf*0) b57b(hica7g zfflb k j/td7tw3d arms close to his bobh50cf b73a)ctjd7g(kb f7 l /*ztiwfdy. What happens to his moment of inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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State the law of conservation of angular ,jj -)ezlntb9momentum.

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 ,2)g(*t da d:hpsudqgmonth period in its nearly circular orbit about the Sun with a radiud g,qghs)d:*ua2dt(p s 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 does the t.54.z-*xgdrw. mgh sq ijso9bip of th.. hg qmoxdwrgs-zi4jb95.s *e second hand 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 revo p v8l42+jxsiahh+,o flutions 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 rotatgpsy9xgt jh7,e5b ;; ses uniformly through 2.0 revolutions in 4.0 s. What is the fs ;h,g79byp5 sej xtg;requency of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0.40 knulnrf :q 4 q2zem3/f z52dxs8Hz. The period /f 28z:ue4md5 zq sq 3rfnnlx2of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle does it turn in 0.20 1f9brrs:5g 0m n5idr ,ahxfn)s nxn)rr0hf9g1, a sb:i55frdm ?

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 )u2im wa m 5rp12af/ecturns at 1500 rpm. How far will a point on the outer r /auma r2pe15)wic2mf im move in 2.1 s?

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 thrmb6gy qo532 ajough 2.0 revolutions in 4.0 s. What is the average a2jgmya5b6o q 3ngular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly through 2.0 revolutionslu8 g igw8 m4cf6elb+7 in 4.0 s. What is the linear speed of a point 0.10 m from thg u47el8f+blcim8g w6e center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiersvf2n0yh-thpn; .3isf2w, ysi a distance of 6.8 km. The cable which moves the car is driven by a pulley with diam h ssfv22-w y; fi,ph.t3inn0yeter 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 ispchi .kmvmv5j; qh,tg9k8 1xy4/it 9m rotating with a constant angular speed of 2.0 rad/s. What is the linear speed of a point on 9 it8jmiq .y gv tvx91mcm;k4khph /5,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 the mow :l9tujqw7/ ih.podqz4- g4 ztor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end g:j/ozp-h dqt7l9qwu4w4z. i of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 u3j9)qwdnk4ai4 2ursn2 /j tbrad/s. What is 3nw2b9)44ujrtkd /sj2iuanqthe 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 the4l7rp(k i pfr*tj qy0. perimeter of a bicycle wheel of diameter 70.0 cm when the bike is movij.y047plqfitr r( * pkng 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 spdi 5;i5,e peajnh4kl ,v ec.3/rh qz.yace station (r = 1000 y kilv5erh ,;/ h ej4dnc,..qe iz3a5pm) 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 f0j-yc92z.ildg hptaq*bk4 s9 n;c g: elat circular curve of radius 50 m with a speed of 20 m/s. The maximum cenyzd g2c. hnjc-s a*plg;9i09bqt e: 4ktripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a speed of 2r iuaz93 1xsf:0 m/s. The maximum centripetal force (provided by stasz:r ui91 3fxatic 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 af s ie;coqa* *l4 pl-sm;+qt6n 0.750-m string, is whirled around in a smooth level table. If the maximum tens l-a6l cq+st;qf4om;enspi**ion that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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

A bowling ball of mass 7.5 kg and radius 9.0 cm roal2y ae(xwb29t ,:4gm oi.snylls without slipping 10 m down a lane at 4.3 m/2e 2ywim (ab4tgs9.:,oxy alns.
(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 accelerapvi z9q/cru9 d8 /42s0d b.pfvxw5fgation 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 constanthgsws)i su83u6 -gj n8 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 automobism12b4 qr ;pin7u w3iwle tire rotate after starting from rest and accelerating at wsm734iiwrq1pu b2 n;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 acceler: a4 v)+ftyiemation 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 20b fl 1d* msxx l-zul:z+)p,h+e rad/s decelerates with a constant angular acceleration of b+e,hp :dmxlulz1s-fz x +l *)$-5.0 \; rad/s^2$. 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 2cv qr ih**jm,oun;nz45jyc - r1qiu06.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of2y4qu,nj*mjqin5* c z;ric hv 0rou-1 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 uniformlyn2j md.;dtmb4k1jx4o from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates inm2n. td mo;kx1j44bjd 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 slow0g7rp: 0am :3jnumcg ms down uniformly from 8.40 m/s to rest over a distance of 115 m. mu3cm: p j0r0m ag:7ngWhat 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 down uniformly from 8.40 m/s to(atx,ttyd-1 b rest over a distance of 115 m. How long do btta,-dtx1 (yes 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 rotates at a rotationo 3rh3 x7a2sbm 9xk+ rdpz2zx2al speed of 3600 rev/min. When switched off, it rotate 3zr2zx2b 7h3p xx+r92am dsoks 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 tig -dss ,lr*c) u1nodr)zhtening to a torque of 90 Nm. If a 30 cm long wrench is used, whatzd ,ror 1d)cl)s*-u sn is the magnitude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of iner3, i32 -bhfdnwabqrvx+ w ju46tia $3.00 kgm^{2}$ 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(r2q 5sr7fof s 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 ofsqo7f 2r(f5sr 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 kgv0x n:01 p n72/xwacok3no daps r/a,h is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleratis/0pwoah,rc /dn0xv123 xknpan 7o: aon 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 pi ;q y+kfdszx,1voted 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 = 0.5s, q kx;dfy1+z0 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 held in the horiri+i 9,fqb7 bg*a4vbjy 7q.dczontal position, and then re,q 7+bcryba b7jdg.i*v9qfi 4leased 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 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 mass 1.5 kg. Nmmjw (f(ws*6 qeglect 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 achim j(mfsw6q(*weve, 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 hangsa - bd eubcsdd-a+*07o on a rope wrapped around a frictionless disk pulley of mass 7.0*cdd -buoaadbe 0+s -77 kg and radius 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 frictionless disk pulley of mbrz tdq3-2cl9f28ed zass bdl2e 2df- rzz9c3 8qt7.07 kg and 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 requirevpjcelm e*8 .tr75z yg (*qmu4d 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 inertia3zspd:z, (;x qfzud;q 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 scuz/01/a hd uand radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclineduduh/ cz0a/s 1 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 m rolls with a speedryoq rt8 i*a2 -tup50t of 10 m/s. Ho-trqt*u5 2yri pa0 8otw high up an inclined plane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is released from rest and allowe d1j cx5zrm:3/ok gh:cd to roll down an inclined plane. How fast is it movind/mjkhcz x: r1c3 g:5og 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 1.5 kg and ra8m1le (wipsk ,dius 15 cm rolls without slipping down a 35e incline that is 7.0iwe18k ,(mlps m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular momentum changes wf pg)e,4r(pr sy;nx7by $20 \; kgm^{2}/s$ 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 moe 81k6m g2/v3eeyqeh we,;rexment 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#

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A figure skater rotating at 5.00 rad/s with arms e mnnd+66opgo +xtended has a moment of inertiao ndn6om++g6 p 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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