Physics Unit8: Rotational Motion - https://webassign.org

1#

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Angular displacement is usually express qgesw.4+ a(yyax8mtss3*b7b in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expres7u *jv :( qm6yl)9ym- nhpkbmpsed in units of

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 :/+(n1( qa t,cvtwpkd 46lwaa.w kbvcis expressed in units of

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 /7l6j hhj)yg g3r r.ammerry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. hlj3m.j)r/ahg r 7gy6 Who has the greater angular displacement?

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 479ziawd+v.c i wh;ue5:vgr eyr )c0xa merry-go-round which is turning at a constant rate. The boy is.wyw e) 4i7c0v9u r:5iavdrh+;zc e xg near the outer edge, and the girl is closer to the center. Who has the greater angular speed?

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 merry-go-round whichsbs 4hl,x5 ozm+vg *v/ is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Wx vshlb,m*5g z o4vs/+ho has the greater linear speed?

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 conslt-.jscq e:c)b- vrq8tant rate. The boy is near the ob-)q ecv scrj.q8l:t-uter edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

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 mw6u8 9dh* c2vje6dozaerry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is2 z6duavwe c96o8h dj* closer to the center. Who has the greater tangential acceleration?

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 followingmo9-8r b a.ve60x qdml is an accurate statebea0-lvqm. 6oxd8m r9 ment?

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 depends c/iiq 5/r sib j,ps858timh:bon

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 midpkzodp* law+-3 oint of the door; the second force is applied apl*dka 3z- +wot the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

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 f qqy 2w2zeej/n- /u0fforce is applied perpendicular to the door; the seconduf2e 0j wfynqzq// 2e- force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

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,uv2gw-b2p: tp e,pf)4ahoed 4 perpendicular to the door. The first force fe tg,bp2 e4pow)-a 4vp2uhd:is twice as large as the second force. The ratio of the torque of the first to the torque of the second is

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 resisc+mflkkj n7 /,tance to changes in rotation?nk mkf c+/7j,l

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 sait.)mx+3lwm;rtv azzn2 mwemy(r0(. me diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smallerwmza te.+nmi(3t;)w xvm r (ml0z .2yr moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice the radius of 4v(bq) b 3q5qp.x op fyn12nrithe other. The ratio of the larger sphere's moment of inertia to that of the smaller spherenb1ypo r 4pn . b)qqq(x52f3iv is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid +e ,1:ipjyycj)(49 efd *jltjk v0kqispheres where one has twice the mass and twice the diameter of the other. The r+kf9jp: ki)1dt( *v e,cjyy0 ljq4jieatio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radiusq y:/z,gv(x on R. If these are increased to 2M and 3R, what h(q/ y :zg,ovxnappens to the sphere's moment of inertia about a central axis?

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 qx-gxr x 77d.b5o. mj0xn 0oxbwill

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 axism dlr .kr0c5 :f7xi0cbwv/. mv is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotationf/v k7miwl .d0rc50b. xc:mvral kinetic energy to its translational kinetic energy is

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 us pg*3*t 1.fb+/ giqfzi qds;kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio 1 .qizts;*+ igqdfbug3/ *psfof the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

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 masst2nz*oh :( yq ltk2-rb M and radius R rolls without slipping down an inclined plane z(*2-ol:r 2ttybhqn kstarting from rest. The linear velocity of the sphere at the bottom of the incline depends on

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 radius R rolls wit li hue3sek-( 8j fno,t4tjdbb)h/l) 0hout slipping down an incj0u)4 ne38ftjhdlki)hb /(es-t,bl olined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

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 aq3jtqwhim 9ka,x:8w) system of particles changes when a net external force acts on the x,hj k83wqw)9 :amqt isystem." This statement is

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 orl9/r 8+ kt/cdmreyih.cy *u;f system of particles change without any cha + mcr. 9rc/tld yru;kh/y8i*enge in the system's angular momentum?

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 ellinb,bjbiels; *h 8 */hiptical orbit. Ignore any friction which may be present. What happens over time to the Earth's an /i *bhbs n*behj;,l8igular momentum about the Sun?

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 the E*/m y wkps*y6dhcn-e3jm3*e barth moves close to the Sun, then which of the following best descr-wj/ p*m*ysy ecnh6*de k 33bmibes the orbiting speed of the Earth about the Sun?

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 h5qqrru45 aq/ois outstretched arms close to his body. What happens to his ang5q q aoqurr/54ular momentum about the axis of rotation?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An ice skater performs a pirouette (a fast spin) by pury;1q)* cmerglling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axre* ;y1qgr)m cis of rotation?

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 his outstretched omu+.uc -usc .em5+kn arms close n+ecmm ku+u.s. 5- uocto his body. What happens to his moment of inertia about the axis of rotation?

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 conservati9k/) wl2uyh(iem 2w4gg9 gu ofon of angular momentum.

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 its nearly cirb83f:rc ifr*f cular orbit about the Sun wi ff cfr:*8b3rith a radius of $1.5 \times 10^{11} \; m$?

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 d2, ijr4o pqyt8-l -rothe tip of the second hand sweep throu2 l-orijpody,4r8q t -gh in 3 minutes and 45 seconds?

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 re*sk y)o gu06lybcn*)nc;ex06rcdev9volutions per minute equivalent to?

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. Whakfz b wjd9w x5n388hi(t is the frequency of the wheel'8 i98jn 3hbw5zfd(kwxs rotation?

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 2,;gl,k7qbit u1a b0mqhu5gi of 0.40 kHz. The period of its rotati2ghi0q;i l5 ,bg,k7aum q1utbon is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A phonograph record rotates at 45 rpm. Thronzu 8e i:-*:qs/nus6w - byahsugh what angle does it turn in 0.20 s?q sn b:ea i*yhs:unzs/8uw-6-

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter 26 cm turns at 1500 rpm. How farlaeg+7o .mo) m will a point on the outer rim.ogoam m7+l e) move in 2.1 s?

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 s. What is e5(.oswr7 vfjruc gl6cd0*u +the average angular speed of th* gj0fcuv6c rw7. drs5+eou(le wheel?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. +v. (jq/t a,borlxi,u)d jq:x What is the linear s,trqd(+ ab.loi :jqx ,j)xv/u peed of a point 0.10 m from the center of the wheel?

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.o swtp6bq++zz 1uuk;dx48 k1e*bvh,x8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trukth;+6bq* x4o+ 18zvkzw1uxe,s p bdip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of radius 1.0 m is rotating with a constant angular speebo21 /:7.g6bvbhhhln j jzl3ptok44vd of 2.0 rad/s. What is the linear speed of hhl7l.vhgj3o2 1k bp6tzbn4/o4vj:b a point on the wheel's rim?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The cutting cord on a gas-powered weed cutter is 0.16 m in l)6ewtwhaq789eecpot( ( xn f 8ength. If the motor rotates at the rate of 20 rev/s, what is the approximate et7 86waeexw9 ((f hcp )nqot8linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of radius 1.0 m is rotating with a constant angul f8 kqfp0--kiwar speed of 2.0 rad/s. What is the centripk8pfqfwk-- 0ietal acceleration of a point on the wheel's rim?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

What is the centripetal acceleration of a point on the perime tko.vip,2g+p 6;zimqq))xdm ter of a bicycle wheel of diameter 70.0 cm when the bike is moving 8.00 m/szmqvp2qik 6)og;.mx, tdp+ i)?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How many revolutions per minute (rpm):mt 6wakg m sv:f(.j9a9yt9 kk must a circular, rotating space station (r = 1000 m) ro v96 :skya:wjm99kkfatm(t .gtate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A car is negotiating a fli)o4s xaz u1uhgi;*.z pyk;ccf 9y2m g3pw u8,at circular curve of radius 50 m with a speed of 20 m/s. Tsco;xuzc .pk2ym;hz)g 9iu*8u i34pg w,af 1yhe maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A car is negotiating a flat circular curve of radius 50 m with a speed of 20 myxz04cj+z3 aeea.r92; nj ydw/s. The maximum centripetal for 3we4cr;dy x.yaa 0+zjen2zj9ce (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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 / qb; ,g ;wspdhy35rwrstring, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear/, ;r;r35wgshby wdqp speed can the mass have if the string is not to break?

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#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipping 155;t 2-p5drnm*fp. m 6ugaq(vzta4me lpns/z 0 m down a laner smatn.e(*zvpmfam654 t-2 g 5 dlp/ pnzq5u; 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)

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51#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel accelerates with a constant angular accele .:p z/fudejz2be(x e)ration 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?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel accelerates with a constantb2;fi*i:vr*f*uvymkmt 0 gb9 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?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

How many radians does a 0.300-m radius automobile tire rotate after startin ;(sxn9wg r5qug from rest and accelerating at a constant angular acceler9(5 ;qsgr wnxuation of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel starts at rest, and has an angular accel j0bnglv* *xur) 4r1everation of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A Ferris wheel rotating at 20 rad/s decelerates with a constant angular aw )6q*kwxp(to 2mk ah7cceleratiom7k2wptq k)(a*whx6 on of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel starts from rest and reaches an angular speed of 6.0 rad/s while tuz 0ed47ht2-ng:cb dp8kub ,h krning p4,ht d c27-0zh:bengu8kbd k through 2.0 revolutions. What is the average angular acceleration of the wheel?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/shmdt(b 1mb. -n to rest over a distance mtmn.bbh- 1(dof 115 m. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest over ayi:t;keakwf c* d.w k 5p6du80 distanc* d8f.pk ia5edwuw0 6k:cyt k;e of 115 m. What is the angular acceleration?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of diameter of 68.0 cm slows down unit y 4r0 fwg,8kgs)/gc ywka4(zformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to the stop?rga/k0, t4 c kwszyg4(f y8)gw

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A centrifuge in a medical laboratory rotates at a rotational speed ofxz3dfq 15p1 hi 3600 rev/min. Whenp1hzd 1f i5xq3 switched off, it rotates 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.    $s$

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61#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

The bolts on a car wheel require tightening to a + x)0ymj2;,ww vzhsi5b kh/o rtorque of 90 Nm. If a 30 cm long wrench xrb2omv0+5shwj; w) /i, kyhzis used, what is the magnitude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel with moment of e ,07kmvo -x*iz16b y qznvs5vinertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A triatomic molecule is modeled as follows: mass m is at thyg)bkl -h 54pzam5 o/we origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of iner g zko 5a5)bhw4l-yp/mtia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid cylinder of mass 10 kg is pivoted about ae2nnp aav1 9a:hbz(o/ 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 exertsznoa a(9pae:hb/12nv a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid cylinder of mazfg n( a*25ow0gr2i gjss 10 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 2 2jrgi *faw05(g zngo= 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?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 4.00-m long rod is hinged at one enga zx3oa.p2npm bgk (*rcblum9)68( sd. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released((*g cxuz3g kasl )m.6mbopabn2 r8p9? (The moment of inertia of a rod about one end is ML2/3.)

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kgp q+aj t/(:dx,qnf 7mk. 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 m ndf 7q/p,t x+:ak(jqwheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 1.53-kg mass hangs on a ro .+d9ku8k,odmzvv* , pqpkr3qpe wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular accele,q *m8k vv9+ud dk,kpo3z .pqrration of the pulley?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A 1.53-kg mass hangs on a rope wrappn z.g h7ik7wu/-ghck: ed around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is zn7k-g /uiw:hgh7.ckthe acceleration of the mass?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A rotating flywheel can be used to st-1rp j 4nc6sikore 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 $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A wheel of moment of inerm,sr(iulbg*ey ;;6jr tia 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?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.0 kg and radius 0.010 m starts2 ykp0h8wsc5p from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speepc2 k0y5shp w8d of the sphere when it reaches the bottom of the inclined plane?

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#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed of 10 m 4t8dm) 5zdy(r rkcxa)skm(k+/s. How high up an inclined plane can it climb before co 5rzyc+4kx( d)r ms)8t(kak dmming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A hoop of radius 0.5q(5zb2hie m,)humn+g 0 m and a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m?b hh2uin5g m )mz+eq(,

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#

Free-Response ( 1.0 marks) Whole-Paper View Save Problem

A solid sphere of mass 1.5 kg and radius 15 cm rolls c/wtm) w e3zn;ja(dm6without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by(3djmw6t)cw;/ea zn m $I = (2/5)MR^2$.
(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?

该题自我估分: (必填) (满分:1.0分)

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76#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An object's angular m,dtjtx;; o fq0d 0 zlx,,jfh y2sbr8,homentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

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?

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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Mark Problem

78#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

An ice skater has a moment 4t f7a;r*dwwgh 6.aqa qxu6,dof 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?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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Mark Problem

79#

Single-Choice ( 1.0 marks) Whole-Paper View Save Problem

A figure skater rotating at 5.00 rad/s with arms extended has a moment p(p5 .h5k igux4ol9h c6y yj0bi(l7vc of inertia ovlxcyh(j 6 5l( y9h07u i5b4opik.p cgf
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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