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

1#

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Angular displacement is usually express in units of,gnww wd2*.qagrc-/ f

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is exx 1w905j7 ::nhjlh qf1qclfu rpressed in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed qhtl*w ,l/rpp 0p)y)t 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 qy b /o)d2ag(m0+vrl ;nlve f+a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer tofon;/r)(0ml+eq ly + g 2dvabv 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 consta)krla20dhuo)j wlz(, nt rate. The boy is near the outer edge, and the a,udkwl(lo2 r)j ) hz0girl 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 ridimugwp02 8r1 f7wui2y wng on a merry-go-round which is turning at a constant rate. The boy is near the outer edu0ruy8wpi7w2g2 wm1 f ge, 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 ridingymfuw ,t.hm0+ a merry-go-round which is turning at a constant rate. The boy is near the outer th uw0+.m ,ymfedge, 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:a6jaxa grmj,;1fiu4a n dacj8 6 .xn7 at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greata8aauf : ci7a jmx.na,j jnr6;4x6d1 ger 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 rb,on:ao 4gc(that is rotating. Which of the following is an accurate st( oroag :c,4nbatement?

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 slippa:++4c crpf iming 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 cq+h(5ha9ypj applied to a door. The first force is applied at the midpoint of the door; chh 9( yqaj+5pthe second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. Thf2usc i j-1q3w:vegusv1 g8 (we first force is applied perpendicular to the door; the second force is app 1- 8swqs(v e1w2u:uj cgigvf3lied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The fx:ybfb r4-z67cmv7 yfirst force is twice as large as the second force. The ratio of the torque of the first to the torque of -c rfy vzfbx:m6b7 4y7the 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;(oysddk,j)w3k/ z8at+ce m g rotatio 8,e(c kotsjg3ay/kz);m +wddn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniformcdb yx/)i:c ml);- fki solid spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia tmc /ib-) f:ydxi)klc;o 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 radik ,i;1, fz4aj n)yt;nqcne6ok us of the other. The ratio of the larger sphere's moment of inertia tockn yqfzk1;4, jn )e,;at n6io that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and twice ttj cs;,yq. 3 ,bxrq5tthe diameter of the other. The ratio of the larger moment of inertia to that of the b5x.c,j; tt qrtsyq,3smaller moment of inertia is

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18#

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A uniform solid sphere/s 35e;eyut 84zv xj fgq3lwyl32-pqt has mass M and radius R. If these are increased to 2M and 3R, what happens to the sphere's moment 3xtqsevytwl/f ge- juq3y 82l z;34p5of 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,agfuj 6 lhz+xp*w:)f * 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 ggldw 3;qm;y l,iven by 0.5 MR2. If this cylinder rolls;3 mll;yqg, dw without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which h9 tpoh 6tnm(55ch,pbu9j s* quas a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the pt, 5(n96s chqu ombj5*h9tupwheels 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 Mim7jh24jrte:dluw0 g2 u ;ou19 ubr* n and radius R rolls without slipping down an inclined plane starting from rest. The linear jur0 tl4*h 22mgi;ubru17edo:9u n wjvelocity 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 rao fsevbg ;0p9-dius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphefgeop - vsb0;9re at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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24#

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"The total angular momentum of a system of particles c 3jm0 d3stbb r5mnkdn/2 69wcthanges when a net external force acts on the system." This kr/05c j36nbb mtst 9ddw3mn2statement 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 of8w6t8e cu2jps system of particles change without any change in the system's aw6u8 p8 2jcetsngular 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 friction which marlt t, o+q,l7tgh1kr7 y be present. What happens over time1g o7 qr, rlt7khl,tt+ 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 awohq./ gky5 ((:ygl xnn elliptical orbit. As the Earth moves close to the Sun, then which of the k.lxg5n((:yq ghy /ow following best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast s0kpifa -+knldo1g9 *xpin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis+*l-x1gi kap f9okd0 n of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstretchem 4:g8i ;.4l4v 9zotoehaxaqhd arms close to his bod oa;qea.v th4g :44i89lzmo xhy. What happens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette x 33fg/mylnhuo/6b , t(a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about ty o,fl t3n/g6x3bmuh/he 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 a; melpvl,zwy *+.2iyz4 rrg4 jb 3x6pqngular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month period in its nearly circp 7 /q.k*7/ maekzxmqlular orbit about tlk /*apm/q qmk7z.e7xhe Sun with a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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

The second hand of a clock has a length of 0.30 m. Wo qwk /8ak(.q.uz(w czhat distance does the tip of the second hand sweep throughwa8((w.k z/ co .quzqk 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 8r,hvwj(br5 q 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 24w+t ;y, ec+ms5nysjjw9zbs:rgb 0l; .0 revolutions in 4.0 s. What is the frequen;t cy;r sw9e s4jmws+b50bjnl,: z+y gcy 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#

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

A pulsar (a rotating neutron star) emi upz;gjny+ ;zd pol3lh:o66c3ts pulses at a frequency of 0.40 kHz. The period of ;o + gy3;l 6cplu:6o3h dzjpnzits 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 zqi,xycvsp) 7f2-; zwit turn in 0.20 svz) ;zp-2, qfc7xsywi?

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 point on ;ar1pk w vgk7nvs d8x.jvljqq :84;.jthe outer rim move k18qa4 p vvqw8vjnd7:j.xs gr; l;.kjin 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 through 2.0 revolhp (3t9mhsd+ avs0u:g utions in 4.0 s. What is the adap+uts:3mv90h(sg h verage angular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. Wh ux:sf3l1e49hqtaq . oat is the linear speed of a point 0.10 m fromo sx: 1 .hft943quleqa 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#

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

A cable car at a ski8;p-bqe byoaxej8xtd: .8 ne 5 resort carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Asbe-t5; 8 8.eoyx dje8xpabq:nsuming 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 sp:ji r9 6uw8:vdl ncnr9:y(rv need of 2.0 rad/s. What is the linear speed9 6vl(:rujrw8nrcv :9yni n:d 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 the mo.sitj5lesaa pv7i. 76dc3b ; otor rotates at the rate of 20 rev/s, what is the7sia l di.s6e5bp7;javtoc 3. approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant an ;) a.v9cx1 -trm2 ,pi s9o7ep jpx4ondbntsp8gular speed of 2.0 rad/s. What is the centripepr no 9t.e ipmjv-ta4onx xs,17scb;9 2pp8d)tal 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 acceler e0znoj:b3l*db823u2jkpd 8ao xm5px ation of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is m 8d:u8233zobo5 xp lapje*dmbnk 02xjoving 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 akatqd 41du)r 9zuu/i *5o seh* circular, rotating space station (r = 1000 m) rotate to produce an artif*tu1 5kaqriue/zd9do)u s h *4icial 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:,4 cbvrxvf)e a flat circular curve of radius 50 m with a speed of 20 m/s. The macvevfr,x):4 bximum centripetal 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 fl/gt*mpg lge2 c* h8k/vat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provlehv8 mpgg/k /t*gc2*ided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

A. $0.50 \times 10^{3} \; kg$

B. $1.0 \times 10^{3} \; kg$

C. $1.5 \times 10^{3} \; kg$

D. $2.0 \times 10^{3} \; kg$

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49#

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A 0.300-kg mass, attached to the end of a 0.750-m str(cma( jon0h;2 ,ludew ing, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the(c;0we ,djh n(lmoua2 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#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls withoutj85h 4cv zi2jr3l edb0 slipping 10 m down edv4 i0rz5c8jb hj23l a lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constana8fbxam zu -i8b jt)/3t angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant - iysaz4 bo//jn9 2fxtangular 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 0.300-m radis.ae6;(n1bdaj s x*agus automobile tire rotate after starting froad. *s 1e(njb6sa;xgam 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 restn92vtsa qz+.;xo9 ptnql9 o3t, and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotatin s w)mumr4tb)idm:42vg at 20 rad/s decelerates with a constant angular accelerab24:t) ru wm4vis)dmmtion 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 resroq /x-b14*0tc5 c(a zbsgo0(xk kst at and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average r-5ab 1otq(bs( *zkx/0ko0ccax 4sgtangular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest ovev *p3q0h ro/:t1syolur a distance of 115 m. What is the t tl0ouh3o y1qsv/r: *potal number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly fromdob13d qe65lx 8.40 m/s to rest over a distance of 115 m. What is the angular ac5dbxl 6o d31qeceleration?

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 oe +9if 4c)6x yeey9rvsdcn:p8f 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to comey)fvi 6 8nd4rc9:ex+ eyec p9s 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 rotational spx .6zbz(c(xa an,fu1 need of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angulabzz(x(nu1,. an xf ca6r acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torque of l)*wkak+0n( gewam*h 90 Nm. If a 30 cm long wrench is used, what is the mag0w( * kh l+aawkem*g)nnitude 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 inuul*9z0 ulh-e nh r8om,e7m j*;v) vtmertia $3.00 kgm^{2}$ 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 mode8 h i)69 diuj:l66 qvd:oljpzpled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2po)zq:p l9dijvu 6hjl d6i 86:a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 11v /n6rjl / x.xcf+hq;cpcc)w0 kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = )vxlqxncw;6 f/r.+1c/jhc pc5.0 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 isdev2 jc*ja c2. 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. How many radians does the cylinder rotate through in the first 5.0 second22*c jea .jcvds, 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 3wt3o;bq//lgx p yp)pend. 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 ofgypt w/ ob;)q 3pl3x/p 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 sge9 ;u. ze ya 8xzm6hx8;xri,cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a fors;ih9xzay6.g;,ze8r me x x 8uce of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of massgdbuqg+:+ c qbm4q13a 7.07 kg and radius 66.0 cm. What is the angular acce 4b1ubdqqga++:g3qc m leration 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 arou u2gr3k+em)8 sw cocx:nd a frictionless disk pulley of mass 7.07 kg and radius 66.0 g+8s) 2row :k3e umxcccm. 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. Iadc3a q.r: 6tcjju2 n:f 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 un:t -j/hi fq($5.00 \; kgm^{2}$ 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 redo9f1xyy tscb-x0wrqh.b*/nor+ y3 tj4n g 8 ;st and rolls without slippidt1.yx + rnrhg*oyo;8ntxsb 9ybw j0-f34qc/ ng 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 many 0y du(qa*vln id13lucik,r) ky0/3ss 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb bend 1u yiya rvq0(i*kn/d0l3)u k ycl,3fore 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 mas zjva;l0odvf-(cm *s: pd*0sws of 0.20 kg is released from rest and allowed d0mlc v ; 0:-*ws(sfjazpovd*to roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm ro0zkj ) uqz tz,c*2)xw,z/:ko 6acbboulls without slipping down a 35e incline that is 7.0 m long. Assume it start:/u6u ,z kqx*o)cozb0, j2k)ta wcbzzed 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 changn5mq0hhw u;yzpk ,)iot9l66 31qkphmes 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 moment2)pgh3ntn03 hy .mock 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 radzri1ul. p,d91ae6 p y ,ipxlb)/s with arms extended has a moment of inertia lpp,b)9. 1 u x1zd ial,ep6yirof
$2.25 \; kgm^{2}$. 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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