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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 expressey:; ths hq8 ,ic02fad in units of (1.0 分)
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2#
 
单选题搜藏此题  
  Angular velocity is expressed 4y1fbebx *k g-in units of (1.0 分)
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3#
 
单选题搜藏此题  
  Angular acceleration is expressed in units-e)ud rg2j1 fg e62bls of (1.0 分)
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4#
 
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  A boy and a girl are riding on a merry-go-round which is turnio) 8mymlt24lt ng at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who hlo m2t8l ymt)4as 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-roundy0lrm43 pf mkdpx (gw h;,e3c+ which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who ;fc +m0ppd,mk(lwhyrgx 3e43 has the greater angular 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-go-round which is turning at a constant kenfw r23e4 )phe2 by:7xk /imrate. The boy is near the outer edge, and the girl is closer to the center. Whopk wh2e:2y)b eerxnm4f/k37i 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 constek-a*)bhqpu6x eow .8 ant rate. The boy is near the outer edge, while the girl is closer to the cequhe.w)6xoaep8 k *-bnter. 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 a merry-go-round which is turning at a conf*4nsn y 6fo8wstant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tang *fo8n ws6ynf4ential acceleration? (1.0 分)
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9#
 
单选题搜藏此题  
  Consider a rigid body that is rotating. Which of the following is an accur;nmk nh:7 hh5rate stah7;rm knhh n:5tement? (1.0 分)
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10#
 
单选题搜藏此题  
  Rolling without slipp o1f)yhfxkha :/b yt-9ing depends 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 the 936w:hjex8l beeqg: d midpoint of the door; the second force isqe 3x b:8we96 gdh:lje applied at the doorknob. 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. The first force is appleoh/o- x4i 4t4z px6hyied perpendicular to the door; the second force is applixheoh4-4 /z x6o4yptied 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 d 4l ;zv3z(z o6pzpk hn:v0ed+ioorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of ;oed+0h z:zlzk4( p6pv ni3vzthe torque of the first to the torque of 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 an object's resistance shntsr 56n 4/m*c-hyd to changes in rotationhd tn6/ 4r5 shsmnc*y-? (1.0 分)
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15#
 
单选题搜藏此题  
  Consider two uniform solid spheres wo7e8 / *qtp7mdb7ib7ep*ocq xhere both have the same diameter, but one has twice the massd7*ectq87o/ px oqmb b7ie*p7 of the other. The ratio of the larger moment of inertia 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 spheres h ,xkkz-h;by:4+c2t gfeya( ds ave the same mass, but one has twice the radius of the other. The ratio of the larger spherck;kg: +yfx s ,t hade24(z-ybe'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 tw, cibjnpb41)e3*id xhu82 pv aice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to thabc3b iip*1x 4pdn 2a8ujvh),et of the smaller moment of inertia is (1.0 分)
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18#
 
单选题搜藏此题  
  A uniform solid sphere has mass M ;64p 7c d4jk0hae hutcand radius R. If these are increased to 2M and 3R, what happens to the sphereu4 cc; 6pdt4hkj0h ea7's moment of inertia about a central axis? (1.0 分)
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19#
 
单选题搜藏此题  
  If a constant net torque is applied to an object, that object w.er n h5c;tzi:oj2 ovi,pkd3 -ill (1.0 分)
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20#
 
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  The moment of inertia of a solid cylinder about its axis is given x l77wyy/hkb:t2 jx4zby 0.5 MR2. If thiwh7z2xkby: t74jy/ xl s cylinder rolls without 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, on s:wfz 3d6yewq3.o8cae wheel 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 the total translational kinetic energy of the c qsfwz:6 .3oy3wed8abike? 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 a4r dw4w*x-l ydown an incline-wrl4a xd*4wyd plane 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 mass M and radius R rolls withopcdu;ho - p3vpi008d)8 er dqfut slipping down an inclined plane starting from rest. The angular velocity of the sphere at thef)ihd8 -dpu c;rvdp0eop08 3q bottom of the incline depends on (1.0 分)
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24#
 
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  "The total angular mome88bb0 jxu )a,exdns325jij sentum of a system of particles changes when a net external force acts on the system." Thisajx0x)8 8j s32sindjeub5, be 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 change wiyeut*(zzz/d/i,cr q0 thout any change in the system' z rtzi/zy( quce,d/*0s angular momentum? (1.0 分)
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26#
 
单选题搜藏此题  
  The Earth orbits the Sun in an elliptical orbit. Ignore any frictir9cv zfe b, p v /c;stq;(xm*js5qmk9(on which may be present. What happens over time to the Earth';qm(r9;kejxvsfpb(5 * /c9 st z,qcmv 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 the Sun in an elliptical orbit. As the Earth moves cmxm heox6 3 sc4)oz)9close to the Sun, then which of the followingm)4)xm6eo9oscx chz3 best describes 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 pulling in hiyg d1 a2 5nfs-sbe5gp0s outstretched arms close2ygegs s0n-d1 b5 5fap to his body. What happens 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 pulling in his zeak1fe2v(w g/u- l5e outstretched arms close to his body. What happens to his rotational kinetic energ1azwe -2eu/k(g5vfley 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 z06h68q(4qn+qtkm pkfe iruq9(n 5aw fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axishqeqt8p+w9rq40zn fk5(( n qm6k aui 6 of rotation? (1.0 分)
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31#
 
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  State the law of conservvb*etoupc :ug2o ) a 75:qnx6xation 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 three month period in its nearly ci/ 7-o-o qimvd i1e,scu/)iytrrcular orbit abouts y7rt/m,o vu1qeoi)-/ idi-c 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 length of 0.3-f m o2nv29d4 bsth6vp0 m. What distance does the tip of the second hand sp bvof4tsh6n2-9v2m d weep through in 3 minutes and 45 seconds? (1.0 分)
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34#
 
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  How many rad/s is 25 revolutiwtva(:je:/ex 2uqw 2ko l1rp6ons per minute equivalent to? (1.0 分)
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35#
 
单选题搜藏此题  
  A bicycle wheel rotates uniformly through 2.0 om:s ch6;kvb - ap/mwi+ul.5drevolutions in 4.0 s. What is the .vpul d/mc:aiw5+;smhkb 6o- frequency of the wheel's rotation? (1.0 分)
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36#
 
单选题搜藏此题  
  A pulsar (a rotating neutron star) emits4 tr)vwa (k zxm))fb(u pulses at a frequency of 0.40 kHz. The period of its )xtb(v r k a)(w4f)mzurotation is (1.0 分)
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37#
 
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  A phonograph record rotates at 45 rpm. Ts-4i tbzu4pn 7hrough what angle does it turn in 0.20 sp44 u-n 7iszbt? (1.0 分)
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38#
 
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  A wheel of diameter 26 cm turns at 1500 rpm. How far willfw6a,ah w9; gq a point on the outer rim move i qg 6a;9wh,fawn 2.1 s? (1.0 分)
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39#
 
单选题搜藏此题  
  A bicycle wheel rotates uniformxuwc: (-ib tq2ly through 2.0 revolutions in 4.0 s. What is the average ang( uq:ib wc2x-tular speed of the wheel? (1.0 分)
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40#
 
单选题搜藏此题  
  A bicycle wheel rotates uniformly 1ie9ayxq f*up ,t 5vjg5a-g5s through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the center of the wheel?gy,9x1ea 5 p5i*jqv -ufsg5ta (1.0 分)
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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 cg-9 e f:t6edclzt69 i6vna6mmable 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 mfm 6e69eln9idt6- 6:cmtz vgaake the trip in 12 minutes? (1.0 分)
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42#
 
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  A wheel of radius 1.0 m ishzj z/o g67dhthg)e32 rotating with a constant angular speed of 2.0 rad/s. What is the linear speed of a point on the wheeldhoh)jet h6zg 2 gz/37's rim? (1.0 分)
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43#
 
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  The cutting cord on a gas-powered f d.6+ q/zizinweed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end of the co izf6zn.q d/i+rd? (1.0 分)
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44#
 
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  A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 radfv0t1,:by ;v7bntfzs /s. What is the centripetal acceleration of a point on ts bvtt,f nb1vf:70z y;he wheel's rim? (1.0 分)
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45#
 
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  What is the centripetal acceleration of a point on h1)hht gk ul;77f.xqg;ef :hp the perimeter of a bicycle wheel of diameter 70.0 cm when the bfu1f) ;qg :.hptxhh 7gke;h7 like is moving 8.00 m/s? (1.0 分)
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46#
 
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  How many revolutions per minute (rpm) must a circular, rotatniv xxi/k.jk- ,/9r iting space station (r = 1000 m) rotate to produc/v r.-nkixxiti/ 9,kje 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 circc (de0h,m(-dotpuxtn6p 1z4 l ular curve of radius 50 m with a speed of 20 m/s. The max p -puhxd (te6,n4otzd m1(lc0imum centripetal force (provided by 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 curve of radius 50 m with a speed)n2 ga2xznox- of 20 m/s. The maximumgx22n)nxo- az centripetal force (provided by static friction) 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 the end of a 0.750-m string, is whirled arxirw+qx7o - cg:wc4g*ound in a smooth level table. If the maximum tension that the string can withstand is 250 N, then whacg7rc q w*o+4xwgxi:-t maximum linear speed can the mass have if the string is not to break? (1.0 分)
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50#
 
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  A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipp:6hn:ii1mr+ zkd y4 tling 10 m down a la i6i1h4tzrl k: nd:+ymne 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) (1.0 分)
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51#
 
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  A wheel accelerates with a constant angula xy,t-qnxs0j 7r 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? (1.0 分)
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52#
 
单选题搜藏此题  
  A wheel accelerates with a constant acjlj/m 3x bwt5nz 7vbea2v 84+ngular 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#
 
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  How many radians does a 0.300-m radius auwhdu393g/f :p;o y2e b cjh2umtomobile tire rotate after starting from rest and accelerating at a constant angular accelera c2hf9 dp3gey oh;mwu/j2u: 3btion of $2.00 \; rad/s^2$ over a 5.00-s interval? (1.0 分)
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54#
 
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  A wheel starts at rest, and has an angul;g,4vt 2dr;.ds2kzyq -cvmb6 huwq y -ar acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s? (1.0 分)
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55#
 
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  A Ferris wheel rotating at 20 rad/s decelerates with a cm, in 867m awey-iwfk1onstant angular acceleration of, 1anf87mm6 i i-kwewy $-5.0 \; rad/s^2$. 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 and rtyo8d g+2 ew9jeaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular ayg9o te+j2 dw8cceleration of the wheel? (1.0 分)
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57#
 
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  A wheel of diameter of 68.0t1jbt/)2bz g nalb3b0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates j/b 3 b)2b n0ag1zlttbin coming to rest? (1.0 分)
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58#
 
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  A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s( uqhf,,m+5*mtvzv ah to rest over a distance of 115 m. What is t av+vu z5*,(,mq hhmtfhe 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 slows down uniformlyiox +1ecwr;.k from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to the stop?1xwikco;. e r+ (1.0 分)
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60#
 
填空题搜藏此题  
  A centrifuge in a medical lab2embb+ cto 64pe(m):.tdpil xoratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 6l. +pdpi2(xt4ctmo beem )b: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.    $s$ (1.0 分)
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61#
 
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  The bolts on a car wheel c tz s8vw/kb58hw/z pgu y12a9require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the fpztb 15 /sw2v8z9wauk gy/ h8corce applied at $53^{\circ}$ to the wrench? (1.0 分)
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62#
 
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  A wheel with moment of intgv k)uf*0mq9 qdbi-7q :f km0ertia $3.00 kgm^{2}$ 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#
 
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  A triatomic molecule is modeled as f3vu bsaiyj,1 me7 y3i9b;kb 3tollows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the,buia yest yj9 k3b3b ;vm713i origin? (1.0 分)
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64#
 
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  A solid cylinder of mass 10 kg is pivoted about a frictio(j4 k-r4hojfd-*d ntpnless axis thought the center O. A o * n4pdk4j -rjfhd-t(rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?
(1.0 分)
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65#
 
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  A solid cylinder of massls 5j.d rc8plx)/z+xf3u p mck :0nvo*u,seh; 10 kg is pivoted about a frictionless axis thought the center O. A8p e*pux+ ckm.j:/;h3 xuvfl0rs 5 cz sn,l)do 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 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 initially held in the hor h:skr;pa 3xd1izontal position, and then released as the free end is allowed to fall. What is the h:;as1pdxr3 kangular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.) (1.0 分)
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67#
 
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  Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kg. m xm/ ;hlm- rzozbn6kv(/i* i1 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 fon(r1 m;z kxh/-zlb oiv imm/*6r 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 x7:ypo ;wc y9la rope wrapped around a frictionless disk pulley of mass 7.07 kg andoylwx9cp; :y 7 radius 66.0 cm. What is the angular acceleration of the pulley? (1.0 分)
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69#
 
单选题搜藏此题  
  A 1.53-kg mass hangs on a rope wrapped around a frictionless disk puj(cr(5zh xrrv2y,g b* lley of mass 7.07 kg and radius 6x r5(bvjy h*,(2 zgrcr6.0 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 tc(+e i3vqgcj g,1bty4o store energy. If 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 $kgm^{2}$? (1.0 分)
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71#
 
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  A wheel of moment of inertia 9g2 g(k sg,: totlvk3uof $5.00 \; kgm^{2}$ 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 0.010 m starts from rest a 2e qrw bjy 4v-;:r2)wd.scoognd rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when iqwgrjovso24c.b2;y : r -w)det 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 roly:igc:)o g2aed1g 3xxls with a speed of 10 m/s. How high up ae2a:cx: o1xgy)3dgig n inclined plane can it climb 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 kg is released from rest and all qkvcjq 73 a5xk0ibpmwd rw1:1p5xc:;owed to roll down an inclined plane. : mcp q5i;xd7kw0qkp a 3 xr5v1:1bwjc 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 a uw2ust d:k.,end radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by tuks.ewdu : 2,$I = (2/5)MR^2$.
(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 momentum chj 0+qir-zn 4xkanges 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#
 
单选题搜藏此题  
  An ice skater has a moment of inejohi0mcyy7)b us- )( ertia 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#
 
单选题搜藏此题  
  A figure skater rotating at 5.00 rad/s with arms exte1q2 jih 4b6zi d.ef/pugf3s-k nded has a moment of inertia of pi21f/buds fzjik-.4he6g 3 q
$2.25 \; kgm^{2}$. 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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