Physics Unit8: Rotational Motion

1#

Angular displacement is usuallycde1 lt4: l,ntqae5f4 express 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 expressed ilt;phr,) cg17)c you9wl f tpo1v7 f;qn 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 ;rmkhh k4o-e -7)hsvwis expressed 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 which is 8oj/pf1zxi /g 0g afni;ri6i2x6h5 yaturning at a constant rate. The boy is near the outer edge, and to/;r2ijxy/ pga 0zh18ff 5xiani6i6 g he girl is closer to the center. Who has the greater 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-rbu-fhtpbk6bk( 50 rwcs; oo01ound which is turning at a constant rate. The boy is n1uh;0cbk -b okspto05wfr6b(ear the outer edge, and the girl is closer to the center. 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 riw/vp57yukq7 tce 6g 1i+3kg rzding on a merry-go-round which is turning at a constant rate. The boy is nev17uq67 +yw/c3i 5krgept zkg ar the outer edge, and the girl is closer to the center. Who has 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 turning at a cons1zn5pupdy.v xs6w v28tant rate. The boy up xvs28 v5 .wd1zy6npis near the outer edge, while the 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 is turning a(qhdtv )1c*/u xudp :kt a constant rate. The box v*:( )hp/cdutdk uq1y is near the outer edge, while the girl is closer to the center. Who has the greater 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. Who-/jkse2lnvga, 7t l(ich of the following is an accurate statement? ,lnag(vk oe2-jlts7 / (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 depen0t8)a7 s vhgasds 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. Thef+(vo sd,ia:p first force is applied at the midpoint of the door; the second force:,io+d(spa fv is applied at the doorknob. 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 first fov89 gdxe7i +e6v ee7cnrce is applied perpendicular to the door; the second force is applied eev8dg 7+c9ex7 6 niveat $30^{\circ}$ 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 to a doorknob, perpendicular to the door. The firs 98kz9xmmc6c qnt)h- 7z8j4 lj ga+fvrt force is twice as large as the second force.n 9z8r6jmxzt97)-jhgm4vl fk8q c+a c The ratio of the torque of the first to 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 akoh.k 8 *3ios7rsq0ddm.c idx /ji);e n object's resistance to changes in rotati oh0sike3i)s.q rcx. *dd8 mkj;o/i d7on? (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 spheres where both have the same diameter, but ck)ks d ekc12;one has twice the mass of the other. The ratio oec)c kk1s 2;dkf 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 has twice the rem6hr7*hn25 cfwe 2 wnrps ,j;adius of the other. The ratio of the2fe rh e wmc7j; *,6prnwn52sh larger sphere's moment of 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 massay :n7oy +7fgyl3lnx+ and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller mn7 7y3:+lflxgo yyan+ oment of inertia is (1.0 分)

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18#

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A uniform solid sphere has mass M and radiurr-c ubpjc-l1z(b64u ewr;)ls R. If these are increased to 2M and)ue-(zc -l ujr6;rbbr c4w1pl 3R, what happens to the sphere's moment of 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 i 6d2 ;9tssbz2j0lr 5qkzxc ;lyat:sy5s applied to an object, that object will (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 0.5 MRf):quc pt gohc70ax 9y 2olc-82. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to iu:8c-f2q)h tl gop 07yxo9 ccats 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 a mass ofr*6u(x4aukz h kcpu-8t73zlm 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of7tar68* puuzx z-3 k4uhmc(kl the wheels to the total translational kinetic energy 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 M and radius R rol u7s)ha(ni1jq ls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incliq(si uah )1jn7ne 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 6)k4 1boqp kkqt ofkv//am::nradius R rolls without slipping down an inclined plane starting from rest. The angular velocity of t :ko f4t6vbno :qm)k/1 pkakq/he 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 when a n0 c2vq: e b+wg19dmzfjrb(z,j et external force acts on the system. qjd(,c vf:2ejbzb1 zrwg+ m90" 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 can the angular velocz )v 4fsfqjcg50,.4) o lxgzdwb3iie6ity of system of particles change without any change in the sysji34lq45 ogffvesg6x z).), 0i cwbdz tem's angular momentum? (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 ellipti00fn*7nynw j8ck zih2jg7 /otcal orbit. Ignore any friction which may be present. What happens over time to the Earth's ann0f /nz2*7gw jtkcoy 8h in0j7gular 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 elliptical orbit. As the15,0kjsrn* ml 86k ab t8gpqerj*8gwq Earth moves close to the Sun, then which of the following best d*q0g jr8 p5 1san r6qm jblg8,w*tke8kescribes 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 outstretchef3yxl6mn g2 gh:xbv:(tx: h 7ad arms close to his body. What happens to his angula(: gx6 bh:f3x hn7ymxl:ag2 tvr momentum 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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29#

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An ice skater performs a pirouette (a fast spin) by 1xd-rmeh z+m )pulling in his outstretched arms close to his body. What happens tom rh -mxdze)1+ his rotational kinetic energy 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 pirouette (a fast s3wyj ls*;-e, yhfg 1ji:lf 2pxpin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axisy h1pfi2f;s,-ejlgl3y:jw x* 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 conservation of angular momentum 7rpdx3khr5gg:v(8yoc8n :hj. (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 three month 0 +dg1q4ghz63 vg mddyperiod in its nearly circular orbit about the 4qg0+yvgh m6dz 1d3gdSun 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 0.30 m. What distance does the ti-, - d -c+sk/c4j3peuq navkazp of the second hand sweep through in 3 minute3k 4 d-s+pu,enzq c/ vj-aca-ks 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 rev,s sg/eaz x * yr1jwmr/ad6g-)olutions per minute equivalent to? (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 rotat d;.ra:bs(vniehl. 5 vidq b+7)j e*zxes uniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's rotationb*hv)+dsqvrxdii;e e.b: 5(7jn z .la? (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 neutro4*jtii+snq q3f(co /xn star) emits pulses at a frequency of 0.40 kHz. The period of its rotat4is*cqfj x n(i+3qt/ oion 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 i s: dwcnz6()w4cdk3oikj;/jm n 0.20 c)sjcnjod3w(zi6 ;:w4 mk/k d s? (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 dsq ij*e c; n16x2jz3 xr+o+mpwill a point on the outer rim move in 2.1 s? *iqr+d32spmx16 j; oze xncj+ (1.0 分)

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

单选题搜藏此题

A bicycle wheel rotates uniformly tz6hvbimwi/ vt6 d 7xgfy.p)3/hrough 2.0 revolutions in 4.0 s. What is the average angular spee.y)zd vf/h676 igb i3pvt/ mwxd 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 throug8i. 5l50y)kfs.dybzta atb1ih 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the center of the wheel y5y f. li8k1a0tbs a.d)itb5z? (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 6.8 km. The cable whix8+ev46 v vw dwka/8scch 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 the tripvw v6/88cwv4kxd+ aes 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 ofh7 h6rhcos z/7dsiq9- 2.0 rad/s. What isc79doqh6srzhhs7 / i- the linear speed of a point 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 lengt qw-j waz 672o73 iogkrb,k2cth. If the motor rotates at the rate of 20 rev/s, wgai2 c ktj2zqww 773bkoo,6 -rhat is the approximate linear speed of the 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#

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A wheel of radius 1.0 m is rotating with a constanlm - be t-msh;9my5xv3t angular speed of 2.0 rad/s. What is- v5-lhyxm ts;m9e3m b the centripetal acceleration of a point on the wheel's rim? (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 3(g )5pyu42c8a 4mrnc1jp mjkc h*owqof a bicycle wheel of diameter 70. cp2y q jrg3ac*uh(c nm4w)jmk1485po0 cm when 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 pea d+op1 .ebibpebpq,+lr9., ar minute (rpm) must a circular, rotating space station (r = 1000 m) +bp1edl, epi, ra+p9qba.b.orotate to produce 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 cu - k2h85oaypuyff.-jc1ahb-k rve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by stau y8ok. 5ff -ahp a2-cyjhkb1-tic 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 of radius 50 m witcob+gg3/gu/efqoc 9b3l: 3 rqh a speed of 20 m/s. The maximum centripetal force (provided qlq+g f3og 9u/c gc :boe/3b3rby 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, is whi0r )g wke.l;twrled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maxim)wwrgl0 ;t. ekum linear speed can the 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 slippinwu.* cy 9a*psug 10 m down a lane at 4.3 mu 9.acpys*uw*/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 ap** sh-tegd91ip,tpf ngular 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 a6,fz/k3didngxeq ; ; i 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)

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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How many radians does a 0.300-m radius automobile tire rotate after startingun+ ;r+qrjnvmbi) -u8 from rest and accelerati un+njbuvr- +)q;r i8mng at a constant angular acceleration of $2.00 \; rad/s^2$ 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#

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A wheel starts at rest, and has an d:h2grw02iqs(ez h4tangular 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 with a3n)mzi)d lbwy 58vf( cribk7b) l*sd8 constant angular accelerati bdk )ni)r5i8 b)z( mlfc*lsvw 7y83dbon of $-5.0 \; rad/s^2$. 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#

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A wheel starts from rest and reaches an atgoo i8vdi9/(ngular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular gi(tid oo98v /acceleration 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#

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A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to restib: u;ebf)a hbf3,-s;ecnhny ukp 39+ over a distance of 115 m. What is the total number of revolutions the wheel rotates ibi h :ue ;-ps9+u)y n,bkefb3a3cf;hnn 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#

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A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest overx1yo590nu, 5l gdj o50dlksut a distance of 115 muk 51d50t 0dlx5ongj ulo9, ys. 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#

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A wheel of diameter of 68.0 cm slows down uniform7pi lz5l5.vkhv);hz qn4mo d.ly from 8.40 m/s to rest over a distance of 115 m. How long does it take fo)onlq7. lk miv4v;.z5z dhhp5 r 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#

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A centrifuge in a medical laboratory)r, j* tmv72mfko7dzy rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a coyft 7z2k,)7*mrmvo djnstant 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 ti 8x/kzj sn8u)sghtening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required wjnz8 8) /ssxkuhen 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#

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A wheel with moment of inetk)fcgmxn4xu0 h 6(pc5tc8d1rtia $3.00 kgm^{2}$ 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 i27t:oad h ndkqg6*rgj b n80-ns at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia ag d*hoja8b7d-6r 0kn qn2gt:n bout 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#

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A solid cylinder of mass 10 kg is pivoted about a fr -j jok j.52fhiz3(hc1lfvc,jictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exero3c.f l1-,j2h( j ikj jzfv5chts 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#

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A solid cylinder of mass 10o 1fsed d6.p7 /bigl zw8jt62s kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a b8ewpg 61 /z7d26of.ssijdtl 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#

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A 4.00-m long rod is hinged at one end. The rod is initially heldub jkg+3+ozj0 in the horizontal position, and then released as the free end is allowed to fall z3ob+ujk+gj 0. What is the angular acceleration as it is released? (The moment 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#

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Consider a bicycle wheel to be a ring of radius 30 cm and 8 dp u,l cxnumx,mf(3r qj6i)9mass 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 acdnpm) 9iu3,cqj6rm, flu8 x x(hieve, assuming it rolls without slipping? (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#

单选题搜藏此题

A 1.53-kg mass hangs on a rope wrapped around a frictionle:hj,nu8r2z til es.r.nwfio)a5 p ;g4ss disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular achi lag oj i.rw5;),:fetur p4z.2nn8 sceleration 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 diskgqba ty7qrtrhl ak8r l9* 38-. pulley of mass 7.07 kg anqagb8 r8klth al-3q*rr79t. y d 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 q4 zlzvpryu -w2s)jz0+x h-* mstore 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)

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 m-jhol *xo)*ypi;z2q, j4h jl inertia 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 m starts from resc/ p 5d;cy4wacl (sp(jt and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottj c(p/s cp4cl5;w(yda om 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 7n9s4i3kld zi1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before coming to39z lksi4i7d n 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 i seitb/d7j5:0.20 kg is released from rest and allowed to roll down an 5e ditbji7 :s/inclined plane. How fast is it moving after dropping 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#

问答题搜藏此题

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 33yw3zfpabfvk6f8*y 2 5e incline that is 7.0 m long. Assume it started from rest. The moment of inertia ofkf3 wbfpyf3zvy8* 6 2a 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 m7vj(e ehp-9 mvic)y t*omentum changes 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#

单选题搜藏此题

An ice skater has a moment o:adhhp cgt)tr)*1j( n f 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 wifa;c, 2m ;smq cg2,ev6 /dhfhkth arms extended has a moment of inertia ofmh/ qfd6 ccf2 s,2;ge;mv,ahk
$2.25 \; kgm^{2}$. 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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