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

1#

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Angular displacement is usually expresso; lxqhchx2* 8 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 units kh:ab dfn5:sd8i6 m8l 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 uo85erx. zm ;, yeg-xein 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 merry-go-round which is t if fpmzctt/964h 3z7 3id,esiurning at a constant rate. The boy is near the outer edge, and the girl is closer to the cet9,sc tehzpd334ff/ i i76imz nter. 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-r7ihir: bw;jzmwt, 0nn h,xcv88 ,c g7tound which is turning at a constant rate. The boy is near the outer edge, and 07rz ,tihhjbn;g7w8tc8w,,cmx nvi :the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turning a4bc3 *z(eduxjupld uvj:q.4k-e3 df,t a constant rate. The boy is near the outer edge, and b3q*4fe: x cvj,lu.p(e- ju4 3kddzudthe girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turnin/acb 2kur* o0ng at a constant rate. The boy is near the okuco20b ra*/nuter 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 ri3mx1wsir c1r 4r0d 4moding 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 xwrsmmcir41d31or4 0 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 followi;)6baenmr 6ht ng is an accurate st b rnmhe)6;6taatement?

A. Its center of rotation is its center of gravity.

B. All points on the body are moving with the same angular velocity.

C. All points on the body are moving with the same linear velocity.

D. Its center of rotation is at rest, i.e., not moving.

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10#

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Rolling without slipping depends 8or o-w8u cy woybu,rcq t .-;-)6ojtson

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 imja8nbty zz)2 j58kr7s 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 tor8z8naj mr)yzk j2b57 tque?

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 doork 5d:bqfk4koa1 3ziqtsc 1 v:0anob. The first force is appli1:caodsi : fzbv 51aqk0k3q4ted perpendicular 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#

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Two forces are applied to a doorknob,vnd uew +/70du perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque of the seconv7d+ n/euuw0dd 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'sp/m w,,j wwzuuk yus.8s- ./aj resistance to changes in rotation?u,. ajzsus kjw.,-8ywup/m/w

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameteudd5)heswyz5y 7xzc+n4e0 c-h;g c ,hr, but one has-y 4 uxgy7;hdz5nwe0 czc5 shdce+h), twice the mass of 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 spheres have the same mass, but one has twice the radius a 1q 7cg5mgcn5 :t*bhnof the other. The ratio of the larger sphere's moment of inertia to thgmbhn:571a*cqn t cg5 at 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 spvjmph 0,jj-3l fcf6+j heres where one has twice the mass and twice the diameter of f cmjp jvjj3 0lhf-,6+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 9;9gtlpk (f)h(c *gd cvbya rz*7z2ejand radius R. If these are increased to 2M and 3R, what happens to the sphere's fche;2ry9zb*7 v l9gc)p d a(g(zj*tkmoment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torquek(wm5:9 q(e8* ufjfjb+ xdpgw is 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 cylufrse wrwq36h j):6rklr7v / 7inder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotu6 w)s/3khl7rwfrr 6q: re7jvational 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 izt7c5mq7w2 n2bcgo; has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy otbic; g7z722 ownmcq 5f 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 rolldhvq2(4kb.9 uz r iu6ms without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline dependsv4(qruk 2h6ibu m9zd. 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 Rab 8p f9iuj m/:xt:um-n*py1 d ,m-soi rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends d n:/u,- u -joimmp8x*apiy19 :fbmtson

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 changes when a net exter*7kyt +ij* ivaugg0h.nal figya7*u j t0gkv*. +ihorce 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 angularxm7gfv6gc 9:i lftk;1 velocity of system of particles change wit: fmtk9gl vx6 1cif7;ghout any change in the system's angular momentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun in an elliptical orbit. Ignore any fuso (av+6fr )wn6vy:friction which may be present. What happe(w+oas6u :vfnr yvf6 )ns 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 in an elliptical orbit. As the Evk x1fd 1mp 9tb*p3:ecarth moves close to the Sun, then which of the followinf13vep 1kt bx9d: mc*pg 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 j4p ijt)d:vs *(a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the a4:pv)j tsij*dxis 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 fasqz- q. ;3qiux 2s;xs:l -iweob2frhn8t spin) by pulling in his outstretched arms close to his body. Wha2n-3qsihbo- r2q i wsx:xl u.ef8q;;z t 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#

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

An ice skater performs a pirouette (a fast spin) by pulli 338myv)fxlr nho vje liw;;32ng in his outstretched arms close to his body. What3n hve2i3y;rmw)l 8;fvl3 ojx 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 ,wod n q1/rzw2momentum.

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 ite mzz4p//ph/+ta o1ras nearly circular orbit about the Sun witht m 1o4/+/ezz rphpaa/ 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 distanc/hwh6 in ylauz43;ov,e does the tip of the second hand sweep through in 3 minutes and lw;,ha ozynhv 34i /u645 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 revoluth uavebkgq -otn5, +77ions 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 rotates uniformly through 2.0 revolutions hz(;cimhwqt48 i 5i.a in 4.0 s. What is the frequency of the wheel's rotation?q( ci 58twh.z4hia i;m

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) emis qf2wn,i hlv-mr51qva-z8 ( mts pulses at a frequency of 0.40 kHz. The perioz 8- h5(qrnaiw f-2,s1 qvvlmmd of 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 g)gz ftv1vou6bo 5; 6jrotates at 45 rpm. Through what angle does it turn in 0.20 szg1 ;v6 tj6)buo vofg5?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far will a wp17gq jtwa5j g-r* k9point on the outer rim mpwg57ja-j tkw q19*grove 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 uniformly thr9eqffltxl7 *y + ist71g;8qbdough 2.0 revolutions in 4.0 s. What is the average angular speed of the wheelysgt;lde t77+8li1 qfq9* bfx?

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 xj43 f9xooyk1g q05ihthrough 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m fro ojf45 yqk0i1gxh9 x3om the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distance of 6.8 km. The cable whi- y:re 9fn0l5b.bdouo)h i/s :*itfyq ch 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 the trip in 12 minutes?5hf/yo i:y :s9i bd blq.u-o)fer*t0n

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 8 h:xhh9dc qbq6s8gqi; ;qw-t rad/s. What is th 8cqqdqwhti xgs8b 9:;q;-6h he 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#

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The cutting cord on a gas-powered weed cutter is 0.16 m in length. If the min 0wa)j fy yl4v2r19wotor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end j 1ar4iyw)2nwy9 f0vl 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 rot nj s 6xhkjej*vz6-c8*ating with a constant angular speed of 2.0 rad/s. j zvck 8s*6e h*6jnx-j What 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 t:3nimnddz v* 4uzfr*y-8yry.he perimeter of a bicycle wheel oiyr 8d*un3y -.v:rmfy dzzn4*f 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 6b -og(pn6 kfxper minute (rpm) must a circular, rotating space station (r = 1000 m) rotate to6 nfxbk6o( p-g 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 (a 0cc5vw7 cdyz jk3p;50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) is d;y v0j735wzc k( cacp$1.2 \times 10^{4} \; N$. 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 radis/p9j zwx)qpb ;t9lm1us 50 m with a speed of 20 m/s. The maximum cen1/9js)lw 9ptzxq bm;ptripetal 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 a 0.750-m st(8q7q /z ,klvqgwikbtplm89 0 ring, is whirled around in a smooth level tgml qk8z,70t/v i 98k(plqwbqable. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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

A bowling ball of mass 7.*d 4x6buc*ipv5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4 6u* xdcvib*p4.3 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 accelerat0.h8 o x 9(rtz (qb3fqh05 niguglc.: xuposy*ion 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 consta z:jfi nmwf-hvkv0g2b j33.:mnt 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.w ny 6uftyim,.-3nbild*o r6.300-m radius automobile tire rotate after starting from rest and accelerating at a constant angular acceleratimwif -.,*i lyo.u66ntnbyd3r on 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 acca)7r:zm3 sx. qvbndl7 eleration 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 rotatiokk-db-v7ks 2 ng at 20 rad/s decelerates with a constant angular acceleration of2vbd os -7kkk- $-5.0 \; rad/s^2$. 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 vrd;td2xcy3sim- g 3fe p y3 pc1+j*3kwhile turning through 2.0 revolutions. What isytdc3 33m;rk j-fv*13p2 psy+xgeicd 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 from2ikio;2seo* j 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in coming keo*j2s2i; oi 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 uniform9 kg70xdpp,3 xrms00.a7yftw3ek p vily from 8.40 m/s to rest over a di0x7sv prti gmxpka f,d0p .ey9w37k30 stance of 115 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 down uniformly from 8.40 m/s nwdyo5 0fob7:to rest over a dis75:byon o0wfdtance 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 medicf605z6x oshh 5ew(fnf, 8mo(bl i0equ al laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotab0l6hxuff 8(ofo,me(zi sn55 e0wq6h tes 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 tfj9wg*m8:k7 3)1pibdsr8 hfw ja0untorque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of thf btdgf19h nr87)js0jiw38 mk pu* aw:e 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 i c7es xqq vpfq(2 l:9nje:95fbnertia $3.00 kgm^{2}$ 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 followsoeufvufz9m3 5,os;;66m ey10peiq o a : mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the momofuv p3a ,mi e1e ;yo69;5oq6z s0efument 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 frictiojy ku76a 6g6renless 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 = 6uk6ygj r ea760.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

A. $1.0 \; rad/s^2$

B. $0.60 \; rad/s^2$

C. $0.40 \; rad/s^2$

D. $0.80 \; rad/s^2$

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65#

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

A solid cylinder of mass 10 kg is pivoted about a f5 yvl*w-x4 ucuk tyx69rictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N tox5wuy-6ct4 k *xyvu9l 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 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 g j2ve /adst;4b(9mkp qljp.9end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rodb/9a. ;jqsp9tk(mle vjp2d 4g 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 ray/ n*x+5d g2 3znul:n 2r bytsdoz25jwdius 30 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 doesx y25n3nsz5zd2 lut n*:2ygw job+/dr the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless cov+ k(wb,*bhdisk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acc*hc(k+b wbo,v eleration 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 fri2yq* ik8aib6z ctionless disk pulley of mass 7.07 kg and radius 66.0 cm. 6yq2b iazik*8 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 ston 9:tbumqu15z re $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of prh)9n4 v3 2sxi .zfwainertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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

A solid sphere of mass 1.0 kg and radius 0.010 m starts from req 95o4u8rqhdmhw j)9 kst and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined w q )rkhjd8495m9 ouhqplane?

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 speed of 10 m/rxls+ay-cs mh/7:/p*.vym sys. How high up an incl*.v:+asmcyphlryy7 s - m/ xs/ined 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+bh rrqt7 ykuts1 -:p7 and a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How bkr -qtsyr71 tuhp:7+fast is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls wi1c1wiq 1,ww / iqss9mtthout slipping down a 35e incline that is 7.0 m long. Assume it 1t, q 1wiwm/ sws1q9cistarted 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 momoc5spvq5 z* b75toa 4xentum 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#

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 of inertza1l 3vik1e e)ia 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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Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A figure skater rotating at 5.00 j;)a85 gl -ewncpf5 oblg *f5lrad/s with arms extended has a moment of inertia c5 e)o;-lln8f5gwb pj *afl5gof
$2.25 \; kgm^{2}$. 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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