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

1#

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Angular displacement is usually express2 0wdnj3xqx+9ofy bksj ;uj,. in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed inol5t02 h+n3 xvz uw(rg 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 is eh*, xwsw99dc)o7 c6(ys oavwv xpressed 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 merry-go-round which is turning at a con 0(er.r iym(81ihxwx istant rate. The boy is near the outer edge, and whx.myi ir8r1ei(x( 0 the girl is closer to the center. 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 a merry-go-round whim n6 k)jac zms,15kdf09j+msid) sd*o ch is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the cemmcijofad +1dj5skksz* sn),) 60m9 dnter. 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 ridingvb-qdc7li*7n fo2 ow : on 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 center. wf: 2*-ovdblnqoci77 Who 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 whics gzk0+x97nzv n*:zp 5g3kp uph is turning at a constant rate. The boy is near the outer edgeg9zxu*3n k :7k+p5zn pszgvp0, 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 merry-gdq2n7,0 qtjt so-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the gre02,qjtt qs nd7ater 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 isa 4idms 7di;t,gt5uk: rotating. Which of the following is an accurate statem4dt:aut 5 idi,7gm;s kent?

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 slippin4; ufdscfvb( ,g depends on

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 qkyy /,. f-sho(sui:uto a door. The first force is applied at the midpoint of the door; t. uhy-: s,oki(/yqufshe second force is applied at 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 ti s)(ndt: 5ggozh1) uf5nb7lthe doorknob. The first force is applied perpendicular to the door; the second force is applied adnf ti)1l 75snogth5g(:zub )t $30^{\circ}$ 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, perpendicular to the door. The f6:at 0s(6z4dksqplj 2 m ;eudfirst force is twice as large as the second force. The ratio of 20qjm(:4p kdufadzs lets 6;6the 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 resistance to change-ks)t zx wnv1(s in rotation1w-)s x(z ktvn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform soliyr,2pmez5vj81 zq q;bg2p sf) d spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of ,1mzre8g; b5f qvy2pp) zqj s2the smaller moment of inertia is

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16#

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Two uniform solid spheres have umn1*yk+vohw ea 2g2 1brc i8k3xc s ;*2wcl,othe same mass, but one has twice the radius of the other.rsow22e1no*x;, k2*akmv 83hub+cycl i wc1g The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

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 m/1zpc3 aczh9on p,c)r ass and twice the diameter of the other. The ratio of the larger moment of inertia tcnr)c a1ppz3z9h,oc/ o that of the smaller moment of inertia is

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18#

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A uniform solid sphere hdem,g,kvyz ,1at ;z b 9t,8tihqz1h /ras mass M and radius R. If these are increased to 2M and 3R,/g qm;t ,,ha ykvtebz r8d, 1hzzt1i9, what happens 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 tor1r slx*1 xe8psc/ny2bque is applied to an object, that object will

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 givec5o 6jrxn aqki xv)29 sb-j:u.n by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational ok 92:iux5rv)b-.sqjnc x j6a 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 kg, one wheel of whi:vq* a-7 hq 9*ieb:xmpqu4mf uch has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energ:vu q-: 9x h*a4q*qbe7u fipmmy 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 mass M and radius R rolls without u1kcg vw:pvj9y.y at-2 -xbaj10wi4 aslipping down an inclined plane starting from rest. The linear velocity of the sphe-pvw2ju a4 y .-:1xg wv yijt9aa0ckb1re 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 radiejo) rcl10x b-k+iob. us R rolls without slipping down an inclined plane starting fr+-io0c)b .e1 rj lbxkoom 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 a system of particles changes when a net extdg3k 8x uxy,k8ernal force acts on txu388,kgydx k he system." 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 of system of particlez zcx)hq 5:u 4vm9wbn,s change without any change in th4nzh u,qv9)bmc wzx:5e 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 elliptical orbit. Ignore any f( p2caxji0l6jom9d; friction which may be present. What hapl92xm6 o fidjc;ap( 0jpens over time to the Earth's angular 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 elet +t-muw -v(pliptical orbit. As the Earth moves close to the Sun, th-+- wemtt(pu ven which of the following best describes 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 pullingal 3lxqr8/;2-ht:unx/if qyx in his outstretched arms close to his body. Wh n hlqry: /x-q8;/tulf3x ix2aat happens to his angular 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 pulling in v xohy9p2p j1 d3i:t-ohis outstretched arms close to ox:13-potv ip 2dj9yh his body. What happens to his rotational kinetic energy 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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30#

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An ice skater performs a pirouette (a fast spin)n ,yf6ji pmo4j :uo4ht92pz x2x7m6yz af-)w s by pulling in his outstretched arms close to his body. What happens to his moment of inertia abouj67,6z4th9 pifu ozx:ma 4y2no2s- fp)xy jmwt 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#

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

State the law of conservation of angular momentuyep5x7tui::s:a7n u s 9cu-za m.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month period in its k 7sh*(0ck8t cz cez*xnearly circular **zct k ce( 0xs7zkh8corbit about the Sun with 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 n0 re7dl3lrhcw28bg)e t 2ua/does the tip of the n2 8) hbdc2luare 0r/wl3ge t7second hand sweep through 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 revowba+xwlxbxv /3 nh3u w2k(q21 lutions 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.muci,p1m qdv7.k-x 3h 0 revolutions in 4.0 s. What is the frequency of the wheel's rotation.mh 3u ,7p-mid1kqvcx?

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 neutrfbar2 h.92vy+w,ypj*eu 7wn gon star) emits pulses at a frequency of 0.40 kHz. The period of iby p.*jve+ 79 ahrf2,wuwngy2ts rotation is

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. Througmh9tx jkcgnz+; 304 vkh what angle does it turn in 0.20 stgz ;4jk09kch mxn+v 3?

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 a w4l1baphlth9+m-z6od2db u9i +b7ert 1500 rpm. How far will a point on the outer rim move -bp uwea zl9b o9dh++4b6dh i7m1t2lrin 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is thet fifhp z4y:34oht55 l average angular speed of5 3:o5lhztfftyhp 4i4 the 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 rotatessk9c) mw /rn-x uniformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the cente kx r/m-)nsw9cr 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 skih* r8 lju pbo 5gggdxa9mo 9h.(.y,3users a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming nohob.s 9uhgopa3,u r58.ggd xyjlm* 9( slippage, how fast must the pulley rotate for the cable car to make the trip 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 speed of 2.0 j ggo)j33qr5r rad/s. What is the linear speed of a pointg3jogr r qj53) 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#

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The cutting cord on a gas-powered weed cutter aahy:r*jre m ;qc5/c tl;mr-,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 -q*/cjr cth ;aa 5,m:mrlr;ey 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#

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A wheel of radius 1.0 m is rotating with a constauj7x sd9cl s5kc234ccnt angular speed of 2.0 rad/s. What is the c 7cu3 kj4c5sd92 clcsxentripetal 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#

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What is the centripetal acceleration of a poifip afqdz q89lnnxea ho6e23*,k440pnt on the perimeter of a bicycle wheel of diameter 70.0 cm wheno n,i aeaz9n8xpkhef20dql fp34*q46 the bike is moving 8.00 m/s?

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 (rpm) must a circular, rotating space st;7i9*stk *sat/cf xt1x9bpfaation (r = 1000 m) rotate to produce akft*a b *;/s9 17csxxai9tpftn 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 flat circular cw)di4 7)vxked,:gyfjzat6; t urve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static fri7f6 v )ext4dzy; ,d kgw):ajtiction) 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 3g5q (dah.uylflat circular curve of radius 50 m with a speed of 20 m/s. The maximum centr yq53( .ualhgdipetal force (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 ;n)e;(f,y0 flst m hnqstring, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximu,ltn efnhyq;;s f)0 (mm linear 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 withouh v1p3cjs6mju qf1k2; t slipping 10 m down a lane at 4.3 m/m3ks1pcuqj 2vhfj; 61s.
(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 wtq 4 4,k rgai+u bga(cv20)pfcith a constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

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 constant anguljl .*ryyoip zf*oc 9*.ar 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 raz4n7 c ns/y) yfd5 4+,stczs)6qvofu odius automobile tire rotate after starting from rest and accelerating ud 4, sy7so4 fc))qsfc5zzn ytov6n/+ at a constant angular acceleration 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 a hh;g+viuo* 1nn angular acceleration 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 rnv)qn3ag0:6 xhua5u qad/s decelerates with a constant angular acceleration of a 5nqaquvn03h)ug x6 :$-5.0 \; rad/s^2$. 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 aa.7bo f a6uhc 8ca-mdd- )icz6nd reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average6fzad a-bc)c uhcaid6.- m87 o 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 (vcc,jd,)c r vfrom 8.40 m/s to rest over a distance of 115 m. What is the totcrd, (c),jcvval 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 8.40p-ms3xdz)n 8 x;o)(mg8qownf m/s to rest over a distance of 115 m. What is the angulag8(ow f x) -md8pzsnn;x3q) omr 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 uniformly from 8.40tyky9;0 t gvg3l)h(xn m/s to rest over a distance of 115 m. How long does it take for the wheel to come to thxt 3;t9gn0hv ygy() kle stop?

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 of 3600 reb,x;.rvm cxo* ot03 kav/min. When switched off, it rotates 50.0 times at a constant angular acceleration before coming to rest. bk.xr*,x tc3m0o;va o
(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 torqia(f b)/;h qsgixn9);sg6fnvk (ts c/ue of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when thec(t9kgbxa s)s/ nq(hn6s i) figv;;/ f 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 ine8(o9so1mbvy w rtia $3.00 kgm^{2}$ 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 th(zw;lv z-+8 efnjzy;6 dob6 l03pu dcze origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What iszd0ul ejpv6lnc ;z b3fdw+zo6zy8(;- the moment of inertia 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( l *mivux)rtv;4sm4x 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 4t(uv;ml)mx4rsxi v* to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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 mass 10 kg is pivoted about a frictionless axis though:ey9kjo -h u5ot the center O. A rope eh 5ko-:oyj9u wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

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 end. The rod is initially d3;rwhw 06sdqheld in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertd h0q6;wdr w3sia 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 radiuxzxtio 10* pyylk;njx05j0w7s 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 7k;yix0z0 x x* lo 1t0pj5nywjfor 4.1 s, what linear speed does the wheel 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 rope wrapped around a frictionless e54wt-kjwcl3;bnm vw0q/9p :oyiw y+ disk pulley of mass 7.07 kg and radius 66.0 cm. What is the y k9w;5 niq/4le wcy:+to-pw 3 bjv0mwangular acceleration 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 w,f,: -itlzj knrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What izlt ,n,j :ki-fs the 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 store energy. If it icljukqwox s92*o , x7ks5z: n)whl/7q,m2 dffs 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 inertllbnc c42 gb ;iq.budk 4yz,7bs5,y9 wia 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 starts from rest and rolls wit lvij xtc04*k5hout slipping down a 1.0-m high inclined plane. What is the speed of the sphervc*0 jk5i4 xlte 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 yxm4 saa+ac (6a speed of 10 m/s. How high up an inclined plane can it climb before coming to rescy(4ama 6a+sxt?

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 0.50 m and a mass of 0.20 kg is released from rfpi u 9mllp73d.0a-tjest and allowed to roll down an inclined plane. How fas3 .jau9-mplt0lifd 7pt is it moving after dropping a vertical distance of 3.0 m?

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 without slipping down a 3t0c7ezu 4 z7ej5e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere isct u77j4ee 0zz 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?

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 momentum changes by rcldilv/qh: e:nhn,h/ 8 +n65o 1ns ir$20 \; kgm^{2}/s$ 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#

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

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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78#

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

An ice skater has a moment of inertia of tua cn68lg-2r o.+xud $5.0 \; kgm^{2}$ 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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79#

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

A figure skater rotating at5gtig - ptn9)k 5.00 rad/s with arms extended has a moment of inertia oti g5p9g ktn)-f
$2.25 \; kgm^{2}$. 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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