Physics Unit8: Rotational Motion

1#

Angular displacement is usually express n1dbhnw)u4f*xuc, 4k in units of (1.0 分)

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressedah o;l i2493k3ufudu l in units of (1.0 分)

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 exq3gyq 0f2( 8x9 m *qxuz6rdsbtpressed in units of (1.0 分)

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 whvle.1taj fg7 d 81fz5pich is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greafalt1p8z7 v5 1jg.edfter angular displacement? (1.0 分)

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 wh, .sylry4( gqt tsb/)cich is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. /qrys4)(ytc . ,tslbg Who has the greater angular speed? (1.0 分)

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 me7 5( 8qlpuejai8f6cebrry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who hasee(l 6i858c u paqfjb7 the greater linear speed? (1.0 分)

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 tur-v(9q l ey;ikzning at a constant rate. The boy is near the outer edge, while theie;y(9zv -qkl girl is closer to the center. Who has the greater centripetal acceleration? (1.0 分)

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 32ggs td/cg e4pte)td h:3/ bwis turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the gre:cg2 spwgehtdt43t/ b/3eg )dater tangential acceleration? (1.0 分)

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 isyo314 h*ac ec3 /naoif an accurate statemenno/1a a4oiye f3*ch c3t? (1.0 分)

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 dep mjo4;1dtmg3,)ww22dzn dcx mends on (1.0 分)

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The first force is applied at the eh5c2;n(kpm8,i sfb0 j0/ykmirgwx x-wh27 imidpoint of the door; the second force is applied at the doorknob.,xi0mfc52npkwh 7(yi -wb ;8msjr2 xhig0/ke Both forces are applied perpendicular to the door. Which force exerts the greater torque? (1.0 分)

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. The firstaar:0e)+csaf3 m 2fh p force is applied perpendicular to the door; the second force is applied aa+s r3 ca20a:phmff )et $30^{\circ}$ to the plane of the door. Which force exerts the greater torque? (1.0 分)

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 to8vp/zp ylm,w l:s rn*9 a doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first l:w/9rns ym *l8, vppzto the torque of the second is (1.0 分)

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 + 5jeiao8na q6t9l(qqresistance to changes in rotatio +a9iq(l5q nj a6o8qetn? (1.0 分)

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spvup u ;5pz1gr3heres where both have the same diameter, but one has tw3up;pz1 gruv5ice the mass 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#

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Two uniform solid spheres have the same mass, but one hasz.m9n45-g0vql irg vp twice the radius of the other. The ratio of the larger sphere's moment o- zgvmnlrg 9.qvi450p f inertia to that of the smaller sphere is (1.0 分)

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 okaw xehzkbpr+ / :)*z)uhfg+-ii4 1 nthe diameter of the other. The ratio of the larger momg +)fkpx*nobh kewzu/ir 1ih-+)a:4 zent of inertia to that of the smaller moment of inertia is (1.0 分)

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18#

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A uniform solid sphere has mass M and radius R. Ifev-t-x/ 7px tn these are increased to 2M and 3R, what happens to the sphere's moment ofp 7 t/-xnxt-ev inertia about a central axis? (1.0 分)

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, that object qlqv*a5)n x;bwill (1.0 分)

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 given by b*gm97op9yy d 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational b99d*7yog y pmkinetic energy to its translational kinetic energy is (1.0 分)

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 has ami6r n4x y/2vy6uzvn: 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 enez y vi6um6vx y:n2/4rnrgy of the bike? Assume the wheels are uniform disks. (1.0 分)

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 Megxwx+wts 39 mgx5o 7( and radius R rolls without slipping down an inclined plane start 5xxgt7wgxsw( om39 +eing from rest. The linear velocity of the sphere at the bottom of the incline depends on (1.0 分)

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 radi gfeo27k.3xjbxv ;d1f +l- bs)px7kjwus R rolls without slipping down an inclined plane starting from rest. The angular velocx2d.jxv-jo )s+ 1bb3 kkwf xg7e;fp l7ity of the sphere at the bottom of the incline depends on (1.0 分)

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles changes whenax7j5ivsjt7+vabc8 ejxkvq +4 (d4 t ; a net external force acts on the system.k +t 7ajt+avv d exvx8s5q7c ;44(jbji" This statement is (1.0 分)

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 d(*b yj9 tuv5ihb*rm2gspsock -;k,6 can the angular velocity of system of particles change without any change in the system's angular momento ,r*b*tj(u v5kgbms- h;cip2yds6 k9um? (1.0 分)

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 ellip2i4 z.l; apmxb4: umax7tp4 n/6vkeug tical orbit. Ignore any friction which may be present4pg7xzntlm uu/b;p 2k.e4 aa6:mv4ix . What happens over time to the Earth's angular momentum about the Sun? (1.0 分)

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 ellipttl n- 1n1p-wtzical orbit. As the Earth moves close to the Sun, then which of the following-t-1 nlt1 nwpz best describes the orbiting speed of the Earth about the Sun? (1.0 分)

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 spin) by pulling in his outstretcg2jv9y-.-her1l mgdp hed arms close to his body. What happens to his angular momentum about the axis of - dh.g-mly29pg e1vjr rotation? (1.0 分)

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 8y1d+ihjf;ec spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energ+8fejd yi c1h;y about the axis of rotation? (1.0 分)

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 pirouett1 d+ahz)wv+pnj* hha,e (a fast spin) by pulling in his outstretched arms clhh)1a,nj dpz+h* awv+ose to his body. What happens to his moment of inertia about the axis of rotation? (1.0 分)

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 conserv:qgkhnc-gbssqu*, tit7j4 51ation of angular momentum. (1.0 分)

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a thr5t w+ agmtp:ia, kr:(xee month period in its nearly circular orbit abow +:tia5kt: ,am(g xrput the Sun with a radius of $1.5 \times 10^{11} \; m$? (1.0 分)

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

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

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

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

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33#

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The second hand of a clock has a length of 0.wy11,dfsl+(06xtl:d yy5 h ev qxdj d/30 m. What distance does the tip of the second hand sweep through in 3 y:1+etd hd5vxylyx /,w16lsj(fq dd0minutes and 45 seconds? (1.0 分)

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 revolutions per minute equivalent fq1bw0jiq6o3 5om g9.cpuay 11im9 kqto? (1.0 分)

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 u4 yvp74p im,qhniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's rota7v4h4p ,p ymqition? (1.0 分)

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 pulses at a frequency of 0.40 kHz 6lmodqmtanjgson( :bp 6:lm+.)(5 fg. The perio5(:g) (n.qd+:mom l gtamjf s bplo6n6d of its rotation is (1.0 分)

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 it turn in 0.n g)o)vagegpjq//if mpe8d:,idxp) 9) h 3:dh20 mh/q n)foxega)pde:g3)8 9,g) j:dphdiv / ips? (1.0 分)

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 tit.tr 5zv 6+nzx*p/mbhe outer rim move inxtt5+6/pnm. iz*zvbr 2.1 s? (1.0 分)

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 6s ni-f:ru4 yks. What is the average 6usky n:r4-ifangular speed of the wheel? (1.0 分)

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#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. k 16j:wjdpj*j What is the ljjwkj*16 p:dj inear speed of a point 0.10 m from the center of the wheel? (1.0 分)

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distance of )vy5t: a5nfd e(0nh3qe8aspk 6.8 km. The cable which moves the car is driven by a pu ndvq3k:eathsef055 )8n pa(ylley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes? (1.0 分)

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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A wheel of radius 1.0 m is rotating with a constant angular speed k kv ida4w6/4ypt3v*kof 2.0 rad/s. What is the linear speed of a poin/*w kvkdikp344 y6vta t on the wheel's rim? (1.0 分)

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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The cutting cord on a gas-powered weed cutter is 0.16 m in lens4 66adayka2 tgth. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of they 6sd6t aak4a2 end of the cord? (1.0 分)

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

单选题搜藏此题

A wheel of radius 1.0 m is rotating) qq4 cg: a46fxyp;oj v(wzvttzucj:* qf 68y- with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheel's 6-up*4f6 ;t 4(:q:qox z)gt yjay8 vcfjz cqwvrim? (1.0 分)

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#

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What is the centripetal acceleration of a point on the perimeter of a bic6h lydwk1-rk z(c6 lfx dr5(ebt62b8wycle wheel of diameter 70.0 cm w1 (x8 6cdwbhkr(dllf62t k-ye6 wbzr5 hen the bike is moving 8.00 m/s? (1.0 分)

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 ph3 u9*kzboxcvmy*7 +vljy ,b9er minute (rpm) must a circular, rotating space station (r = 1000 m) rotate to pmcj+,oxlz99bv*khy *v u 3 7byroduce an artificial gravity of $9.80 \; m/s^2$? (1.0 分)

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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A car is negotiating a flat circular curve of radius 50 m with a speed of 20 mjjqsl2-3nz ve+q: 2e s.f9thrkh r3ggh/jh6 . /s. The maximum l:3ghrne2 9. eksv - jghj .h3qh+ sjt2f6q/zrcentripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car? (1.0 分)

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#

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A car is negotiating a flat circular curve ofb-p*;lfyyca 7 radius 50 m with a speed of 20 m/s. The maximum cent7 ; y-*aplfcbyripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car? (1.0 分)

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 string,)ui0: i kim(ky 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 th0u ii (kkiy)m:e mass have if the string is not to break? (1.0 分)

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 without slipping 10 m do7+dte+ eai j 0i)exsow1(w,hiwn ahjiwo(1e+i,a)idt s7w x 0+ee 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) (1.0 分)

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51#

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A wheel accelerates with a constan4 wk)ia p,q:5rp.sr kub3*bdw t 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? (1.0 分)

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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A wheel accelerates with a constant angulars7py2xw15t72w qdq : b e6ogo*t3 arbi 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)

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 n wuo8mr;x 7pabym; (:a 0.300-m radius automobile tire rotate after starting from rest and accelerating at a constant angular acceleration of poyb 7wua:n8(mm;x r;$2.00 \; rad/s^2$ over a 5.00-s interval? (1.0 分)

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

单选题搜藏此题

A wheel starts at rest, and has an aocdwpwn 7 b:22ngular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s? (1.0 分)

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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A Ferris wheel rotating at 20 rad/s decelerates wit0 owve f0xzaxz.9t n-+mq 21ewl 1nq/gh a constant angular acceleration of zte q o9fl 12w0 qagn vn-mz./ewx0x+1$-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest? (1.0 分)

A. 40

B. 20

C. 6.4

D. 3.2

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56#

单选题搜藏此题

A wheel starts from rest a:dcu7 +;h/ puak d:r-witmmm*nd reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular accel h k;ci- m* :u:tu/dmm+awdr7peration of the wheel? (1.0 分)

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#

单选题搜藏此题

A wheel of diameter of 68rhrmz fh; 34:1*e ckfnk+e 13qgme 1vi.0 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 rotatesm;gqee3mkr1:+hf4 crv 1fh3izk n* 1 e in coming to rest? (1.0 分)

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

单选题搜藏此题

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s 3j odm+ )x wmmu9az)(rto rest over a distance of 115 rdo 9(a)m)x wu3+mzjmm. What is the angular acceleration? (1.0 分)

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#

单选题搜藏此题

A wheel of diameter of 68.0 cm slows d5,5q +*g sg8vhgoper mown uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it takepo 5 grgeq5*8vs,gmh + for the wheel to come to the stop? (1.0 分)

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

填空题搜藏此题

A centrifuge in a medical laboratory rotates at a rotational spe5b3 qoftc-u *sed of 3600 rev/min. When switched off, it rotates 50.qc*- 5 subt3fo0 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 require tightening to a torque of 90 Nm. If a 793v5iq; 4hmnlpiq)ezjt u0 f30 cm long wrench is used, what is the magnitude of the forflquh epn7 9iz4i)3tvjm 5 0q;ce required when the force applied at $53^{\circ}$ to the wrench? (1.0 分)

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

单选题搜藏此题

A wheel with moment of inerti. n jn/3p2s7 qlumq77dhk7xzoa $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience? (1.0 分)

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#

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A triatomic molecule is modeled as follows: mass m is at therzwa1 lrj d -ee.4;gw56ap3mm origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inerwg 4r-3eapm16md5jz ae wl. ;rtia about the origin? (1.0 分)

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

单选题搜藏此题

A solid cylinder of mass 10 kg is pivoted about a frictionless axiqrh 3mv:zt:8rh v xa -c-5*mf ar:vp(as thought the center O. A rope wrapped around the oute pma3rvc:*v ah rq vt5a8(-xz:mf-:hrr 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)

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#

单选题搜藏此题

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought thxvt-ksn(s oj2z1 ,l/u e center O. A ro,1vou xjk-n zs2/ls( tpe 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)

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

单选题搜藏此题

A 4.00-m long rod is hinged at one end. The rod is initially held in the hori0tpygj8n/ qxx0 lmg oum:8.g;lo 7x+gzontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The m;g p8to7g/xl0 0mxmg l.yx:+joq u8g noment of inertia of a rod about one end is ML2/3.) (1.0 分)

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#

单选题搜藏此题

Consider a bicycle wheel to be a ru63gp x.wm m:jing of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without sl 3uj:6xpgm wm.ipping? (1.0 分)

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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A 1.53-kg mass hangs on a rope wrapped aroundsbjl9e4wwv:b)) )o) hwcw ui 6 a frictionless disk pulley of mass 7.07 kg anw)ijlewwv6bu 4ob9s)h )):wc d radius 66.0 cm. What is the angular acceleration of the pulley? (1.0 分)

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#

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A 1.53-kg mass hangs on a rope wrapped around a frictionless disku 0y9cny6w2jr pulley of mass 7.07 kg an9r2y6 y unw0cjd radius 66.0 cm. What is the acceleration of the mass? (1.0 分)

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#

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A rotating flywheel can be used to store r302k3p;rd3g.engyyhdt ylb 71h. plenergy. 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)

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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A wheel of moment of in4pye4 i 5.zxcr-gy)guertia 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? (1.0 分)

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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A solid sphere of mass 1.0 kg and radius 0.010 /g9hmw/ 2acf6*sbmlym starts from rest and rolls without slipping dob/6ms9/hwglfym2a * cwn a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane? (1.0 分)

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#

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A solid sphere of mass 1.0 kg and 1+/o, 9q* tu7bsvxgr t8do birradius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb ot8x rus/+b i9 * gv1dr7q,tbobefore coming to rest? (1.0 分)

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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A hoop of radius 0.50 m and a mass of 0t 6 ripykf.cmj8sw9x5a/ s;:z .20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after droppka8tsjw.: y5f /m ;spz 96ircxing a vertical distance of 3.0 m? (1.0 分)

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#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 8k;9aq/ps+2 (t lpryey+xgu n35e incline that is 7.0 m long. Assume itxyprn(2/+lp sk eyq 9; 8tg+ua 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)

该题自我估分: (必填) (满分:1.0分)

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76#

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An object's angular momentum co s)j8z+d: q8m ldynxiqc;z/7hanges by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object? (1.0 分)

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? (1.0 分)

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 moment ofu p,xkmqcv+(0 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)

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 rad/s with arms extende.o qtcu3pc ;),j(s 0r exr4iomx8my(nd has a moment of inertia oxsr3ropymnm(t 8, q(0 4ccoi.;j )eu xf
$2.25 \; kgm^{2}$. 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)

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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