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习题练习:Physics Unit8: Rotational Motion  作者: physics  发布日期: 2022-12-13 12:30

答题人: 匿名未登录  开始时间: 22年07月27日 13:44  切换到: 整卷模式

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1#
 
单选题搜藏此题  
  Angular displacement is usually express in units ofki9jaf* :g6eb +gcop+ (1.0 分)
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2#
 
单选题搜藏此题  
  Angular velocity is expressed in units h g9mmicvyv* s(5o;d9zy19ll of (1.0 分)
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3#
 
单选题搜藏此题  
  Angular acceleration is expressed iu41wwsvbws-- cv ;,gu 3p dc+p5+lzl un units of (1.0 分)
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4#
 
单选题搜藏此题  
  A boy and a girl are ridjmd 23ajx24 3 ca:mwrding on a merry-go-round which is turning at a constant rate. The boy is near the outer mrm jw3d xj43acd:2a2edge, and the girl is closer to the center. Who has the greater angular displacement? (1.0 分)
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5#
 
单选题搜藏此题  
  A boy and a girl are riding on a merry-go-round which is turning at k:e-o4v /4lilzvf*9rgx ge g;a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angueg /9r4;g 4xz-kv*f:igovell lar speed? (1.0 分)
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6#
 
单选题搜藏此题  
  A boy and a girl are riding on a merry;x+8aurm,khc umbg9: -go-round which is turning at a constant ratemb+c ,u;m: 8grx 9khua. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speed? (1.0 分)
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7#
 
单选题搜藏此题  
  A boy and a girl are riding a merry-go-round which is turning at a co( 86mnzt )t0qs psmuyvk:)s1rnstant rate. The boy is near the outer edge, whil08skzmn)psrtm t(:yuv) 6qs1 e the girl is closer to the center. Who has the greater centripetal acceleration? (1.0 分)
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8#
 
单选题搜藏此题  
  A boy and a girl are riding tp)9y lm.tq7*hkzh* i8hb0 rua merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the gp0irqtm9)y.h*u* 8bk lzth7h irl is closer to the center. Who has the greater tangential acceleration? (1.0 分)
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9#
 
单选题搜藏此题  
  Consider a rigid body that iz e0n: q2.mbfrs rotating. Which of the following is an accurate stat20mbfenrzq: .ement? (1.0 分)
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10#
 
单选题搜藏此题  
  Rolling without slipping dependc+zq) 6a-y:mby ihf0 ks on (1.0 分)
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11#
 
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  Two equal forces are applied to a door. The first force is applied at th9 d0qq b3oj 6ar:d;jwfe midpoint of the door; the second force is applied at the doork39q :b aw;jf6djor 0dqnob. Both forces are applied perpendicular to the door. Which force exerts the greater torque? (1.0 分)
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12#
 
单选题搜藏此题  
  Two equal forces are applied to a door at the doorknob..tkmr1vo7x h l1 *yx9fv hacna(y88/q The first force is applied perpendicular to the d (v9qt h/. axor1* cfxn8kyv7ly8h1amoor; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque? (1.0 分)
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13#
 
单选题搜藏此题  
  Two forces are applied to a doorknob, perpendicrr:8jy jj66 hwular 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 o yjj r:r6hwj68f the second is (1.0 分)
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14#
 
单选题搜藏此题  
  What is the quantity used to measure mvopwl ;b)-c0:ww vkf,i 9x-van object's resistance to changes in rotatikbl),o- xpcf: 90- wv vwmiv;won? (1.0 分)
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15#
 
单选题搜藏此题  
  Consider two uniform solid s7rd7d8f, 3fq7xp tnyz pheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertiayp , fn7rxzdfd 78qt73 to that of the smaller moment of inertia is (1.0 分)
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16#
 
单选题搜藏此题  
  Two uniform solid spheresz b 1vg66v.zsotf1f:zj-swg, have the same mass, but one has twice the radius of the other. The ratio of the l:v1wgjzt66fbzg- v.s1 ofs,zarger sphere's moment of inertia to that of the smaller sphere is (1.0 分)
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17#
 
单选题搜藏此题  
  Consider two uniform solid spheres where one has twice the mass and n+d( qs.s2 jmgf bt7w7twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment o.27b jmnqf 7(dgss +twf inertia is (1.0 分)
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18#
 
单选题搜藏此题  
  A uniform solid sphere has mass M and radius R. If these are increa hyeq 0kuzr +g..d-th2t uf)k(sed to 2M and 3R, what happens to the sphere's moment of inertia about a centr.ug k ru. fztdqe-kht0h(2 )y+al axis? (1.0 分)
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19#
 
单选题搜藏此题  
  If a constant net torque iimr/)-p ,j. vhvp9zhiqeqg 21s applied to an object, that object will (1.0 分)
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20#
 
单选题搜藏此题  
  The moment of inertia of a solid cylinder about its axis is given by 0.5 Ml t, om7y)5x) zwahsg9R2. If this cylinder rolls w gl,o)ywstzx) 9mh75a ithout slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is (1.0 分)
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21#
 
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  Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 10 kg a75ofj*cxaxogr.6 u h7 nd a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translxa .7uhfjor76o g 5*xcational kinetic energy of the bike? Assume the wheels are uniform disks. (1.0 分)
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22#
 
单选题搜藏此题  
  Suppose a solid sphere of mass M and radius R rolls without slipping down an)ot 0 0+/7kxywcgyqt m inclined plmqoc 70y y0/t xk+g)wtane starting from rest. The linear velocity of the sphere at the bottom of the incline depends on (1.0 分)
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23#
 
单选题搜藏此题  
  Suppose a solid sphere of u cb- z-ir)-tqn ;rns)mass M and radius R rolls without slipping down an inclined plane -qc-st ;)i u-nrrn)zbstarting from rest. The angular velocity of the sphere at the bottom of the incline depends on (1.0 分)
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24#
 
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  "The total angular momentum of a system of particles changes when a net externakq2 m(.4eil sol force acts eqoi .4skm(l2 on the system." This statement is (1.0 分)
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25#
 
单选题搜藏此题  
  In what circumstances can the angular velocity of system of particles changoxoas ce ; 0 uq)slt57jt 1bz77*xcw7ge without any change in tocsc;xtzl 177u)t07 eg jx5*swbq7oa he system's angular momentum? (1.0 分)
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26#
 
单选题搜藏此题  
  The Earth orbits the Sun in an ellipt5pv+4w8ddr.et hjguds6v( h4 ical orbit. Ignore any friction which may be pre8pw5rsdd .4h jvv(ehugd+t46sent. What happens over time to the Earth's angular momentum about the Sun? (1.0 分)
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27#
 
单选题搜藏此题  
  The Earth moves about tfeo5 f 96f+whuhe Sun in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best oufffe+ 59h6 wdescribes the orbiting speed of the Earth about the Sun? (1.0 分)
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28#
 
单选题搜藏此题  
  An ice skater performs a pirouette (a fast spin) by pul96yn)(d y0 )dknzfawgling in his outstretched arms close to his body. What )k0 wa)g 9nn(yddfyz6happens to his angular momentum about the axis of rotation? (1.0 分)
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29#
 
单选题搜藏此题  
  An ice skater performs a pirouette (a fast spin) by puv;z3t4eyfz 5n lling in his outstretched arms close to hisy4e z3vft 5zn; body. What happens to his rotational kinetic energy about the axis of rotation? (1.0 分)
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30#
 
单选题搜藏此题  
  An ice skater performs a pirouette (a fast spin) byb: vllpq3l58 t7x1 lyf pulling in his outstretched arms close to his body. What happebtl8:l x731ql5vfp yl ns to his moment of inertia about the axis of rotation? (1.0 分)
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31#
 
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  State the law of conservationxwy/swn 4k6 x) of angular momentum. (1.0 分)
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32#
 
单选题搜藏此题  
  What arc length does the Earth travel in a threeu 5nya);ks-h 2 ukb2bm month period in its nearly circulu2k)5s;bn abyuk2mh- ar orbit about the Sun with a radius of $1.5 \times 10^{11} \; m$? (1.0 分)
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33#
 
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  The second hand of a clock has a lenh x4hil-8i wt)gth of 0.30 m. What distance does the tip of the second hand sweep through in 3 minuxw4-8li) ihth tes and 45 seconds? (1.0 分)
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34#
 
单选题搜藏此题  
  How many rad/s is 25 revolutions per minute equivalen(v kjw s/*4mf5zd j0 sl9fxf9tt to? (1.0 分)
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35#
 
单选题搜藏此题  
  A bicycle wheel rotates uniformly throd8zh-guj+q yxv5p)y - ugh 2.0 revolutions in 4.0 s. What is the frequency of thvdq-5p +xuyyjz -g8h)e wheel's rotation? (1.0 分)
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36#
 
单选题搜藏此题  
  A pulsar (a rotating neutron star) m) ;zc,jh,cmm zhssy (qx*)ao30ofu*emits pulses at a frequency of 0.40 kHz. The periodcm* q ;m()ju 0yax,sh 3 c*h)fomozzs, of its rotation is (1.0 分)
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37#
 
单选题搜藏此题  
  A phonograph record rotates at 45 rpm. Through whatw njn20s78 zpe cvcm:)ig.(uj angle does it turn in 0.20 s?zi 7 np0(v gw2mnj8u:ces .jc) (1.0 分)
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38#
 
单选题搜藏此题  
  A wheel of diameter 26 cm/,oa2 tncp-h j kert65 turns at 1500 rpm. How far will a point on the outer rim move ie jp,ka-/ro2h tc 5tn6n 2.1 s? (1.0 分)
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39#
 
单选题搜藏此题  
  A bicycle wheel rotates un l antnl: d96 +ljjfwe)/fi3l:iformly through 2.0 revolutions in 4.0 s. What is the avlwatn3je:l+ni9 6:) /j llfd ferage angular speed of the wheel? (1.0 分)
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40#
 
单选题搜藏此题  
  A bicycle wheel rotates uniformly throzhju:po7 uamw xwxk. (jjz q0wy5gofn)1-4*. ugh 2.0 revolutions in 4.0 s. What is the l74uwx-mkyxj:w(hnjp.gw1a 5 qofjou z.) z 0*inear speed of a point 0.10 m from the center of the wheel? (1.0 分)
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41#
 
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  A cable car at a ski resort carries sk lmu* ue+onj lj3h (t/c*6,iceiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Ass3 jlmounjt+/e(*u6,c*eic l huming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes? (1.0 分)
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42#
 
单选题搜藏此题  
  A wheel of radius 1.0 m is rotating with a iuzw)tb:a9xm*pe jw5 vh9k 6 7constant angular speed of 2.0 rad/s. What is the linear speed of a phpw9 x7ue:bjmk6tv*i 9 )5wza oint on the wheel's rim? (1.0 分)
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43#
 
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  The cutting cord on a gas-powered weed cutter is 0.16 m in le 7 yst6/jwu;b oz/q.dcngth. If the motor rotates at the /c7std q/b ;zuo6.jy wrate of 20 rev/s, what is the approximate linear speed of the end of the cord? (1.0 分)
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44#
 
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  A wheel of radius 1.0 m is rotating /b2 v . yl o7m;j8yjhkkezxi 0wz:r1t8with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheel'se:8/ob1 kjy0l z.khzxwmr ty8;i2 7vj rim? (1.0 分)
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45#
 
单选题搜藏此题  
  What is the centripetal acceleration of a point on the perimeter nf/7v8wuo*xsp fm g2; of a bicycle wheel of diameter 70.0 cm w uv2m 7 g*8fsfxop/wn;hen the bike is moving 8.00 m/s? (1.0 分)
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46#
 
单选题搜藏此题  
  How many revolutions per minute (rpmycnf (h2wy7p1 ) must a circular, rotating space station (r = 10021cw fy( ynph70 m) rotate to produce an artificial gravity of $9.80 \; m/s^2$? (1.0 分)
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47#
 
单选题搜藏此题  
  A car is negotiating a flat circular curve of radius 50 m with a spa :u)6oa:sj1q g7n sgi,gwc1peed of 20 m/s. The maximum centripetal force (provided wcq:s, g 6a n:)o11gpu7 ajisgby static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car? (1.0 分)
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48#
 
单选题搜藏此题  
  A car is negotiating a flat circular curvee3kcbxu/1wze(y/ w/c g9 sl/g of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) sc31wyewgg/ //k lezcu9( xb/is $1.2 \times 10^{4} \; N$. What is the mass of the car? (1.0 分)
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49#
 
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  A 0.300-kg mass, attached to ta4um wsj5i+z su cz3s02d7yr )he end of a 0.750-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 lineary4 wuj5zz03s27)sa+ms ciudr speed can the mass have if the string is not to break? (1.0 分)
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50#
 
填空题搜藏此题  
  A bowling ball of mass 7.5 kg and radius 9.0 cm rollm4g g*mk4 q21eg n,zbos without slipping 10 m down a lane me,g1q z2 44okb*gn mgat 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) (1.0 分)
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51#
 
单选题搜藏此题  
  A wheel accelerates with a constant angular acceleration of y0+bwd7uim4:*z qfwzmd8v z )tg* 0yg $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s? (1.0 分)
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52#
 
单选题搜藏此题  
  A wheel accelerates wite++bpdzr0eil:n/xam4 :x8, aanit( r h a constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s? (1.0 分)
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53#
 
单选题搜藏此题  
  How many radians does a 0.300-m radius automobile tire rotate after sj1.k6al n (l+7rus xfqtarting from rest anxf6 q. jrnsl+kl (ua17d accelerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval? (1.0 分)
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54#
 
单选题搜藏此题  
  A wheel starts at rest v lfl.(drw k/p slh.t3yp8+v+, and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s? (1.0 分)
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55#
 
单选题搜藏此题  
  A Ferris wheel rotating at 20 raneyt*s:yf (z 2d/s decelerates with a constant angular acceleration2s(* t:z fyyen of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest? (1.0 分)
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56#
 
单选题搜藏此题  
  A wheel starts from rest 9 cha)l /:f;a:a kncu7osy+jdand reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the av au;9)nsj a: :cy7oc ldhaf/k+erage angular acceleration of the wheel? (1.0 分)
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57#
 
单选题搜藏此题  
  A wheel of diameter of 68.0 cm sf as +r8(zw1h mkcf0w2lows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of r(+wfhm wr1 k0c82zasfevolutions the wheel rotates in coming to rest? (1.0 分)
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58#
 
单选题搜藏此题  
  A wheel of diameter of 68.0 cm slows down uniformly fzk(mpw1xaz; 1llhum5r 9335p ik auldz/ j1/x rom 8.40 m/s to rest over a distance of 115 m. What is thep m x 1wz93 ar(kuzzljla 3l;du5pxi5/mhk1/1 angular acceleration? (1.0 分)
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59#
 
单选题搜藏此题  
  A wheel of diameter of 68.0 cm s+l za ne-vfy .xzq,5:clows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to t-z+ . e,zcf y5na:lvqxhe stop? (1.0 分)
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60#
 
填空题搜藏此题  
  A centrifuge in a medical laboratory rotates at a rotational sp qi)0c apim:jp3c)t e7eed of 3600 rev/min. When switched off, it rotates 50.0 times at a constan:t)jp)qmi ec3 c0i7pat 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.    $s$ (1.0 分)
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61#
 
单选题搜藏此题  
  The bolts on a car wheel require tightening kaw08omajilnxsl8;6mvd8 9 (to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitud o8as 88ad vikmn; m6(lxl0w9je of the force required when the force applied at $53^{\circ}$ to the wrench? (1.0 分)
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62#
 
单选题搜藏此题  
  A wheel with moment of inert 2x+r4vxgqg*clete 1 a m 6, /5hc)8bzypyrjg)ia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience? (1.0 分)
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63#
 
单选题搜藏此题  
  A triatomic molecule iml1m9nbs1l pk+nz/p 7+45 nhtsanfb5s modeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment lnk n s5 alm4m19fb/1pznsn57p +htb+of inertia about the origin? (1.0 分)
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64#
 
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  A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought n7432bq j 0 dcqglsuw:8mf6hs 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 exertsdnqw f 8b32uqj:4 6l7h smcs0g a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?
(1.0 分)
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65#
 
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  A solid cylinder of mass 10 kg is pivoted about a frictionless axis + 6* r)hrj cc ilfou7i,(w c7p6kv6axathought 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 secrr7+icpa,l fv(7i)uw6kh o6a6*jx c cond 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? (1.0 分)
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66#
 
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  A 4.00-m long rod is hinged at one end. The rod is initqh5qk-p j.cpq41zn r5q,j)gpqu2 0h zially 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 rod about one end is Mz. hqq52 g,1h0p5uzkcjrqnq 4 j pq-)pL2/3.) (1.0 分)
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67#
 
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  Consider a bicycle wheebj(4ax0:7yxb 1ck zbr l to be a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and syrzb bcxbx7k 0 j41(a:procket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping? (1.0 分)
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68#
 
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  A 1.53-kg mass hangs on rt7.3 e czcx()ldb9 nqs3jwa. a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the jc(ed3a3 zsrbw n7x. t.)q9lcangular acceleration of the pulley? (1.0 分)
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69#
 
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  A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pu :w+0mb8/ srpdnw,x3kgqw xinr5; i7slley of mass 7.07 kg and radius 66.0 x xr:ipww3bs+0sgwm/qd 5,n;n7 k i8r cm. What is the acceleration of the mass? (1.0 分)
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70#
 
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  A rotating flywheel can be used to store energy. If it is redr d (e+v)vvd;quired 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 $kgm^{2}$? (1.0 分)
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71#
 
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  A wheel of moment of inertia of8n4 s pbrw3ggdi.k4 +a $5.00 \; kgm^{2}$ 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? (1.0 分)
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72#
 
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  A solid sphere of mass 1.0 kg and radius/pvt12 i i,bmh 0.010 m starts from rest and rolls without slipping down a 1.0-m hig, ivt/im 2bhp1h inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane? (1.0 分)
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73#
 
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  A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. dg.udrx+ ,row4hu(2q How high up an inclined plane can it climbg 2or(4w+ urduqxh .,d before coming to rest? (1.0 分)
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74#
 
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  A hoop of radius 0.50 m and a mass of 0.20 kgyd23gjj/ t3nbwg(j m 7 1x:lvd is released from rest and allowed tlj/wv7j(dd:m213yn3gg xb jto roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m? (1.0 分)
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75#
 
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  A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35yhoxr6m4vv6ston0 y09w rt z-9u, 7qc e incline that is 7. ,z c076vmt9q 9h 0yroynvo6sr ut-wx40 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere? (1.0 分)
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76#
 
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  An object's angular mv*qcy2w)c 3v9) senvk omentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object? (1.0 分)
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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? (1.0 分)
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78#
 
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  An ice skater has a moment of 8smw;2qx18uddg1f7-zde a q v 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? (1.0 分)
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79#
 
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  A figure skater rotating at 5.00 rad/s with arms extended has a moment of iv:d4j 6qdlv2p nertia ofv pl6 v4dqjd:2
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed? (1.0 分)
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