Physics Unit8: Rotational Motion

1#

Angular displacement is usually express in units oy co m, a)cr0tze,q( w*,dcc9xxn,i0of (1.0 分)

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is exvr74y/a nvu8pnd q 4ol m7df(+pressed 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 expresseuifn9 yfw .l9(dbu,3ld 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 turnzc45lbi ti; rc 2l;)kping at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater al 54ciirb 2z;tkcp l;)ngular 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 a3-i+: ucykxnt merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to thy+ -:nkutxc3 ie 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 riding onod p z6ijv; o9yr9 xb3h:w4o7i a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the c;7d9 yzr boxw6p94hio j: 3vioenter. 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 tu, ne/;tb:vq .k 9vzspm+rwrhpl /i() trning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the grerrz, ti/ ;( pe: )mtqvwb.kh9n+l psv/ater 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 su*wwujm *n,dzt ):)wa merry-go-round which is turning at a constant rate. The boy is near the outer edge, m u)wjduswnz: w*t),* 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.is 1z49dz4;ufouc mc 2 Which of the following is an accurate statement?42cu 4 o;m1i sfudczz9 (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 slippioym zd. z(rixmk1z.ss).e/ g;ng depends 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 mi un*8ifprw(q 7a k2-jmdpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which forcen* 8iu7wk mr2pj(qaf- 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 force is appl4.( rg1+u6swcu1y -m c fitdytd fwct 1u(ytyr suic6-+4m1g .ied perpendicular to the door; the second force is applied at $30^{\circ}$ 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, perpendi:.hxe5yit3o/ l ny 0)ye/cqypcular to the door. The first force i3eyxpyq h /eil/50y.t)n:yocs twice as large as the second force. 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 an object's resistance to changes ilt2 jgc c;-8;)whytxe xftl09n rotationxcg0 jh98c 2tt;-ylwlt;)e xf? (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 thq:.c g wtp(0dwe same diameter, but one has twice the mass of the other. The ratio ofwdpqt.0wg c: ( 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 thb+nwm9i oy9 *je radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller spherijn+ mwb*oy99e 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 gagb 6x/:jvwyeq 0ij-ri86pl/0p 2ybmass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia0wip-6b/y6igj / v0qg jxe r8y2bl:pa is (1.0 分)

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18#

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A uniform solid sphere has mass M and radius R. If tw0x q jj8l4lkrn 5-ms9hese are increased to 2M and 3R, what happens to the sphere's mj 9-5 l0q4jlsn8krwmxoment 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 is applied to an object, that object kmcg. wi(2ass+asl 1y59/ le +x 6txcmwill (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 axisgeg/c)(7nq1/sm odegc ;u- ry is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio /s/-)dmge ggo ;r17uc(ync e qof its rotational kinetic 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 ,1ad3v1xuv7 uwb.5amw2oeab 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 bike? Assume the wheels are univb75we 3 d,2aauaw.1o 1xvbum form 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 rolls without slippi(7hxhra-1s c dng down an inclined plane starting from rest. The lineahc7sar-h 1xd(r 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 raw0b *,rb lht4wdzz; (qdius R rolls without slipping down an inclined plane starting fromh4ztrb;(ld,bwq z*0w rest. The angular 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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24#

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"The total angular momentum of a)f5x8z kvkl/2 jb;l)uoc co ,z system of particles changes when a net external force acts on t,kx5 jkz;b/lzlc u2vo8 of)c )he system." 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 velocity of system of particles , hudei+xp- *dchange without any change in the system's angular moment- u ,d*hexp+dium? (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 elliptical orbit. Ignore any friction which r3n3 vtg6:nyz may be 6rnzn: y3 vt3gpresent. 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 elliptical orbit. z1o gl5h q 6a+ov*3x4i*yprmnAs the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth about the Sun?4* nqz5o y3ip6+vhg1m l o*xra (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 perfor .oh.vdc;j8-xzduegm0/.tyup* i s: vms a pirouette (a fast spin) by pulling in his outstretched arms close to his bodyyuis* g8vm .p.d;cuhz /xev0:ot j.-d. What happens to his angular 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 (m y..k, ke .;uqwskhw8a fast spin) by pulling in his outstretched arms close to his body. What ;h ,wk.mek . s8kyuqw.happens to 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 spin) by pulling in hf *4gd:j l - h17vfxdd7vo;vi;f 6slojis outstretched arms close to his body. What happens to his moment of inertia about the dfxvf4v 7vs*oljj o-: di7g;;16 fdl haxis 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 angul actfl7pif1wey1 16z:ar 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 three month period in rk 3y qa.k )os3cpb,5mi: b-zhits nearly circq ykbrm,5 zoa3hbic :ps).k-3ular orbit about 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 0.30 m. xp+ppe6,mf h;-o vm.6c-anh m*vuvu7What distance does the tip of the sec+-h x.pmmc*vmheo -v7 unupf6v 6;p ,aond hand sweep through in 3 minutes 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 revolutios x2z6 sr*g30y w2lahxns 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 rotates uniformly through 2.0 revolutions in 4.0 s.p64;j fne:6,obqyq zh What is the frequency of the wheel's rotab6:e; joyh 6z4fpq,nq tion? (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 fn +f7w 9f9f *zpuati*frequency of 0.40 kHz. The periofiztp* nfu+ a799wf*f d 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 wha 9(w:s*upeov s 4ix;mbt angle does it turn in 0.20 bv:xspw(m;4uso9e * i 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 (nm9v +a tziv226 cm turns at 1500 rpm. How far will a point on the outer rinit9(v v +2azmm move in 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 throughp,nk1.meql2rhkb p* dw; * gm. 2.0 revolutions in 4.0 s. What is the average angular speed of the w*e.m dkgw,n ;k* 1r bm.phpl2qheel? (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 uni5 x,i7ynal9n bformly through 2.0 revolutions in 4.0 s. What is the linear speed of a,biayxn957 l n 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 reyh46xfe 8yzo. qv2p 9xsort carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, h6f8xeo vxq2y4zph 9.y ow 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.)t0r9ag04y6cm ro-i:n fnywr0 m is rotating with a constant angular speed of 2.0 rad/s. What is the linear speed of a point onw9fim0 yt-0 :nary) n6co4gr r 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 cutterm ugu+o7(o69jd3beu+rmy+ v t 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 e9v6ut(edo3byugm+ jm+uo r 7+nd 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 with aw . *(chdkto8u constant angular speed of 2.0 rad/s. What is t kdt8.o(*uchw he 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 perimete utuw7- lf)-iqr7qn4 hr of a bicycle wheel of diameter 70.0 cm when thrufnuwt lhqi7-) -4 7qe 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 per minute (rt/vofti nn ew3j1 z5/cef(/*q pm) must a circular, rotating space station (r = 1000 m) rotate to produce an artificial e nveinwqc/ 5f* tj(/oztf/3 1gravity 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 :0r kjj57bwv6 5btlmn(t4ilf m with a speed of 20 m/s. The maximum centripetal force (provided by static frictm vifkblj:(6ttrjl7n 4 w05b5 ion) 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 with a speed ofsqml4xodt p(1+51r hl 20 m/s. The maximum centripetal force (provided by static frictiond llt1( +mq 1hox5p4rs) 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 +wual +ax+2+ztp7 x s 8.cjg4r m.ow/gijacj. to the end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand.47a wp jsc2 ++j+cimjg+tuw l.a.8orx zgx a/ is 250 N, then what maximum 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 roa a1s q k8d3xzu/rf8+xlls without slipping 10 m downxzrq3sfd1/8 aak 8ux + a 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 constant angular acceld08metkw xb l*6sjrl2;uhioa f/bf;h37s; r5eration 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 angular accelerati7mlsz v5sp7 8:ag q1ojon 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 autom0uh+*+6)lqwb:+v nf sxw glxfobile tire rotate after starting from rest bqs)g:fl 0w+ +xxw6uvnf+ l *hand accelerating 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#

单选题搜藏此题

A wheel starts at rest, and has an angular accelerat 3rm xvtk/u5(gvs42ipxm .juqt7;qj 4ion 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 a constant angular pnx11g z1fi.r acceleratipgn. rz11if 1xon 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 angular speed of 6..nh *gx ea-,sachlh)20 rad/s while turning through 2.0 revolutions. What is the average angular acceleratila h gnehcha-.x)2s* ,on 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+ 0ujau,8;;se dvn rlq/s to rest over a distance of 115 m. What is the total numbe edl +a vuru8;;,j0qnsr of revolutions the wheel rotates 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 uniforml pih(jlmw1e0kp- ;.zov g*1nky from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleratiov h1lg1i(nm pj*w0z kp.-k;eon? (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 o vykv c-827oex:rgj;tf 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long do-r7 tx2k :oyj cev8vg;es it take 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#

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A centrifuge in a medical laboratory rotates at9 ;heayup inn lno.ecc g,-m,+84kst. a rotational speed of 3600 rev/min. When switched off, it rot.l pksa8im en;un4h,cy. c,n oteg -9+ates 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 require tightening to a ij2b h jxs7q px9yy3,5torque of 90 Nm. If a 30 cm long wrench is used, whatx 9ph 57qsbiy3 j2,yxj is the magnitude of the force 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#

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A wheel with moment of inpa /bn8bu 8382qnn bjiertia $3.00 kgm^{2}$ 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 the origin, mask *crdl8di7:cp sbd99og *v x6s 2m is at x = a, and, mass 3m is at x = 2a. What is thepoix*vg9 9 6c bc 7dl8s:kdd*r moment of inertia 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#

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A solid cylinder of mass 10 kg is pivoted about a frictionless axis thku70er x*n 7rqp)c.kmj8 :t*z ;ano msought 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 force F2 = 6.0 N downward. (See Fig. below) What is :.npt7zskr7 kqa oj*xr*;n)meum8c0the 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 if0 n4hzlc.6ses 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 fe.c0 s lh6z4nthe 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#

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A 4.00-m long rod is hinged at one end. The rod is initially held in the sa-v 8io 3z9zmhorizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of ino-3v8szima 9z ertia 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 whephcu2jqekym-b5w + qb9 /k2)lel to be a ring 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 slucy2l e 2-/m qhjkpqbk9+b 5w)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 around a frict 1b1t:dtludr/ionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration o1/t:btu d1r ldf 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 disk pulley of maf:kwbqlq od.3 zsfw wd5;cn/ s/5y95y, 1kedass 7.0qlf/z13 5wwbnka d qyf;doc5/s5.s9e y w,kd:7 kg and 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 energy. v) h (l3bx/pehIf 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 inertia of nw c8ugh2um+*2x6igj $5.00 \; kgm^{2}$ 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 masswiw j7h ado11o ;y0 u*jt4jjg, 1.0 kg and radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when i;ow d j1,jha *1wg jtj0iyuo74t 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 radius no)va(lemvv43iv ,x 3 0.010 m rolls with a speed of 10 m/s. How high up an incnv 3e4v(miv)l,x3avo lined plane can it climb before 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 0.20 kg hq:j-: e lygx 8facf79is released from rest and allowed to roll down an inclined plane. How fast is it moving9c7qxgf: al-jfey:h8 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#

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A solid sphere of mass 1.5 kg z1 x0sy3 f a 22afe:mud(:mescand radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume i3ae udfzm2xe:fmas1y(: c20s t 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 ch1 hpelgyr/ 3+4kscm9q anges 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 eg +h iq9q5.,r11uo qun e0uykof 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 extended has p4t b( :vo 1gbab4og*ka moment of inertib bga14(g4bk*p :ovot a of
$2.25 \; kgm^{2}$. 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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