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

1#

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Angular displacement is usually ex;ezbv 5-mi)vew:mg)ka 35 xtr kzn 62epress in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressex0 yz7jpma-k cx4vh- y+a4n;2,lnhh qd 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 in units ofs6.lz q tuzu) ;fznl(v4,nalp*e xbg-hk.m39

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which is turning at a constzrobdv) wjea , ik7/+i0om 4f/ant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular dib/,w7 i/ mia4f+ozvrj) okde 0splacement?

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 whiinst2-vjn m.4ou zaf5t, yf8kgj .:e8ch is turning at a constant rate. The boy is near the out,5j t. 8 ga.fstyk4jn-eon:8 2mfzvuier edge, and the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turning at a coun iwq7;5pvxx5 /8yws nstant rate. The boy is near the outn5qwx; wi /u8x 5psyv7er edge, and the girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at a constasbo0 r10m0 1khj;qsewm1- v lcnt rate. The boy is near the outer edge, while the girl1vc j0k mm;sqh1 l-soe 1wrb00 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 ridin8je 57fsd4kub g 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 tangential acc5j d4ubkf s87eeleration?

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 following isowkr( /kkjw /( an accurate statemk /j rw(okkw/(ent?

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 -gn2 jwbdz,p nao+7*i0z9ymidepends 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 olcx+ff9jvmy a:)d83job1 h7door. The first force is applied at the midpoint ofj8ch91x 3 foo)j7f:vmay l+ bd the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a d3g4ocl8t 5pxyd.mn f 2oor at the doorknob. The first force is applied perpendicular to the door; the second force is applied at xmf 2p85dtln3ocy g4. $30^{\circ}$ 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 first forcorisd av;(xyi)/ (, yce is twice as large as the second force. The ratio of the torque of the first to the torque of the secoacxro,; )/(vi yd(i synd is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity use/; j1aklayoa4ax8g(*xih 2zts9;ycs f :tr; hd to measure an object's resistance to changes in rotation?(z4h:l; aa s xa2ts;y9otk* ach8fyr1/x;gji

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform soli)6v pmwcdkgh:v1w0*e d spheres where both have the same diameter, but one has twice the mass of the other. The r wdpm6ve* k1vchw:)0g atio 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 mass7v+v ;y; lwu+rgk ix-k, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller sphere7w +kkl;u+g r-ixy;vv 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 t/0-w* mf awki2 0hxsulwice the mass and twice the diametex/s-hf uwm 0l0wika *2r of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased to 2M ank wp9:(nvklo 0 xxfu+;ce(ls: d 3R, what h vkelunx:of( l;s+w0:x ck(9 pappens to the sphere's moment 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 torque is applgk nl w0roh.98ied 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 9 ,0oqxw*7hy*/ 4e hy0pm,tnyern2pmyn c1fnof a solid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio /pytn,*e7 0n np9*x1h4, r yfmqchm ye2w0yonof 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 wnl;w6f)m jt6s heel of which 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 tl6 f 6n;stwmj)he 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 w 8lw0x1sp5fdrithout slipping down an inclined plane starting from 5dw1srx08fl prest. The linear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere wg-chgfz:7m8v 9ea q-yyt 1is1d7 g1mof mass M and radius R rolls without slipping down an inclined plane starting from rest. The angu1g :1gq79f 1m ciyvh8 -mwa -sdygzet7lar velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of.3u sxl7uh- ed)vt+a f particles changes when a net external force acts on the system." This stateutf hv+7-ude.xlas) 3ment 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 changejjxnt.c7cja6 6 48cdj without any change in the8cdjx4 cajn.c t67jj6 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 f s-t/2c-,uulbld yyc 4 o1g:b p:uwsq6riction which may be present. Whatlysc6cl qb ygu4-d:2uw p1/-o: sb, tu 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 in an elliptical orbit. As te+s,c:x ekz+eld 1m1+r)eptkbjyt/ i-7* dau he Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth about the Stj,e 1t kyxk: r l1ed-z+ ubpm)+siec+7*/de aun?

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 f1so 0kmgzmmx . rq 4jw);bzb,3ast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis of wm1rmzkq b 4s0)b;mxg3z,o j .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 outstretchedddj;.ft*-*9qdh cn6-x ly bkk-j;k tb arms close to his body. What happens to his rotational kinetic ec6lhdbbd-j*q;.f - ntjx y;k9k-*kd tnergy 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 hec ov8n *0kbm/pu01rz is outstretched arms close to his body. What happens to his moment of inertia about the axis o*0u/nokmpzcv8b1 e0 rf 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 5sr .)v/gbnaoo0 7adk 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 i 34vunayce5 9k .7anjin its nearly circular orbit about the Sun with a rad9.u najv ceik457yn3aius 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 ofwcmv lpw j/j s( u80bu6ce49o9 0.30 m. What distance does the tip of the secbu0/e6p 8jwcwuv 9 sl4ojm(9cond 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 revolution yr;,*q cozsi6s8u ;+xqc-fo is 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 in 4.0 s. What is thea 1 +gjfiuog;g 8q.i-o frequency of the wheel's roj-o iu 8q.ggf; g+oa1itation?

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 7duk+6 xj9dq g1a -tahpulses at a frequency of 0.40 kHz. The period of i a9d+q dh1uatxg 6-kj7ts 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 itcoh +tuh;m328q sv vs2 turn in 0.20 s?ovhhmct;8sqvs3 +u22

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 v,*btjb 7l jg,zn ;y5sfar will a point on the outer rim move in 2.1 , z,;stlnjyg bj *75vbs?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. 3pbwr hz amxmm2*(l 1-What is the average angular speed of the whex1r m-hap3ml mwb2(*z el?

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 throku; c:)m9dq.s qrm- opugh 2.0 revolutions in 4.0 s. What is the linear speed of a:;pm)mqcs-u 9.koq dr point 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski resorz+36a7g/l 7j 5xnep cosx1oh kt carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make t a/g76 e3jlok n1o5ph7xzxs +che 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 ifsq 9nmyn. kg/ (x.ig,s rotating with a constant angular speed of 2.0 rad/s. What is the linkfgg n.,( x/y9qms.niear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a apo+js f:ft92mgptxh ph: (16gas-powered weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 r92mt ht( pja gx+s1o:fh:f6 ppev/s, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angula b o;b0 0nkyfq3z5op8lxku:o 8r speed of 2.0 rad/s. What is the centripetal acceleration of a point on the w;nkb ook0pb8folquy: 53 8 z0xheel'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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Mark Problem

45#

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

What is the centripetal acceleration of a point on the perimeter of aov+i *qkme(af /tj p6k 3n41gr bicycle wheel of diameter 70.0 cm when t *k kq6 g4nijtvre/apf (13o+mhe bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a circ)yio. 1q lu/r38 *5uddlufawrular, rotating space station (r = 1000 m) rotate to priu5ufq*yd1)r .a8 u/ll3 wodroduce 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 omk,.igy t5s d;l3-hvu wcl/7of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provimi5vgl3/7c . y,kt o;u-hdls wded 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 ciy,3bcjfv)3 +sy rw mi3rcular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static frictiocfbjr 3 ys3y)i,v+wm3 n) 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 0.75c xp0nm kmn/dd)l 9l;9d u9q0rar,pt+5.bbn c0-m string, 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 string is not to n tr9b p 5qndd,9c+ckm/p;a00.n udx9l rm )blbreak?

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 7g4 uzix 2kqy46.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 g z x4qkuyi462m/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 y kbez 1(lv o+c ;k-ogcsip.ch.,d-j2acceleration 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 constantpq(a o8c*tj0k1x 1xau angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m radius automobile tire rotate after startir)fug )n a/*6 hib1lp)hc,/md lpt u*fng from rest and accelerating at a constantf/, d*hu*a piclh6 pr)1)fm)/u g nlbt 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 accelerationw/jg6f1 oca5 n of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s deceleratbs ir35k)j-wxra) jk -es with a constant angular acceleration ofki rjswjk5)b-3-) rxa $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s while,q, kqex.vn+xu g86p0mulljxv;7 dq r x;fz18 turning through 7,18lxdnv;;mvj+xr 0 zq8,6up f q.uxgxelkq2.0 revolutions. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm sl,npl gcmh7 e,3a39b keows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the hc p,7m9bk ln3ea,3eg wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to d+weqw e9dd/ 5qd)8 ;sej1zevrest over a distance of vwdjw d8sze+)9e5q ;1deq/de 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 3y4ot9ov d+tl2 vrta +down uniformly from 8.40 m/s to rest over a distance of 115 9v32otdt+r 4ovayt+ lm. How long does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboll6d 89;rj q rjwxs(qm*: u)kzratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before c*6 rkxm:ldq9 j rzl(sq8juw);oming 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 whj4fev *- zj4hkeel require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the *4h4jfe jv-z kforce 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 i8t vaocv l-z;77lnnelq71; hr nertia $3.00 kgm^{2}$ 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 follows: mass mw8eh9qe atxr: 5mu/yi ):nw mrlxi6/3 is at the origin, mass 2m is at mn8 xa9r) 3w5 wlh:e/6e iu/yqir:txmx = a, and, mass 3m is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted azx0ut.p.v0kjyu x3bhe;b*2about a frictionless axis thought the center O. A rope wrapped azyhu3v;0ux* tkp2ab.ej b.0 xround 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 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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Mark Problem

65#

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

A solid cylinder of mass 10 kg is pivoted abob+mumur8p,,fd8,d vpl pi,q +ut a frictionless axis thought the center O. A rope wrapped around,u ,,li db+fpp,urm p+8mdqv8 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 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 j arf9w2npt:t45 + kl7m,lbvjone end. The rod is initially held in the horizontal position, nbfl2pta kjt 4:lw9+r5jvm,7 and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is 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 radiuiipb2*;e* /t wxe dcsce /91szs 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, wha/*tse/;xe9izi2 pd 1bcc se* wt 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 w0qm ;rfu4 pf9f l4y1na frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular accel 4mnwu1fpfq;f 0lr49yeration 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 mas)y-t)k 3wn4ra (d gbbms 7.07 kg and radius 66.0 cm. What is the acceleration of the drbk()y -)tg3ab 4nmwmass?

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. I--0a ,i;e rmuy6fgnh hf 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 inertia4 kboxvj)ws*61euvgcl:) 4 uo 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 0.011hklg22lv-z ly -ujs 40 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reachesy--2 ghz1lljl 4ku2 vs 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 rlx4 f3 r(qnso3x.l a0hadius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before c a3qrxxh (ls3o0l .fn4oming 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 relea 9lqi gx,vs hr-bk,;/tv9vd+gsed from rest and allowed to rollq lkvv,r9b hx/ +,-dg9sgt;iv 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 rad gxch5+ t0 mqunopa,/8ius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started frou0+h/pa gm,ont q cx85m 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 by uy0 , 3d3. a;vpavopuhw4,wjp$20 \; kgm^{2}/s$ 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 iwbzw232w pa3e01lv hmoment 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 x+u cz ;ck m-g,btk4pbvh)c2j*yi6w 0rad/s with arms extended has a moment of inertia )jkmi ;0-k*tb vwcb c4u2g y6 x+hp,czof
$2.25 \; kgm^{2}$. 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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