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

1#

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Angular displacement is usualth78n ck n5* ck5bzzk 7vu)xi1ly express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressupho* ja9..,c /gydnt ed 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 is expb jok(y xq)m19y74r rgressed 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 t r lwwdmg,;;im7.ti (is turning at a constant rate. The boy is near (g;.t, wm i ml7twrdi;the outer edge, and 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 which is lr2 xz,fz o3e*turning at a constant rate. The boy is near the outer edge, and th*e zf3or xlz2,e 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 which is turning at ,/bl;zy ;sylfa constant rate. The boy is near the outer edge, and the gl bs;yf;ylz,/ irl is closer to the center. 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 c s/wmbr-9pg; riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer pb;wm9g c r/-sto 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 ridtvp:us3e f+k2v64cixxfb u ( 3x/8dlring a merry-go-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 greater tangl3r2iu s+fxb8t e up/ v4 kcv(3xdf6x:ential 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 following is an ac ,do+7ae0b (dzfd (akglj .zy0im (io9zo ch/1curate stateoyfc/dm 1do,heg0aa9+ 0zbkl(7(d j i (ozzi. 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 dependanm 75lmv 1o:ke:urp4pnq, g(s 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 to a doq 0e) bxams6eeq49c gugkt5*4 or. The first force is applied at the midpoint of the doort69 es kq)4 5agb0c x4ugeqem*; the 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 the 1o *ov+,pa ;iradll+vdoorknob. The first force is applied perpendicular to the door; the second force is applied +pald;rl+1v*i oova ,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, perpendicular t*,:*cohodl-sjxmnw1q*9q cf o the door. The first force is twice as large as the sec9hqw -**:l f*qnc m1cxj s,oodond 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 resistance to changeu3m8uuu,qcjy u( uqckvur; ;f 3g1 )1a3adu9 rs in rotation?;1(ky33a9uu u u fgmcuvqruqu) au,;1drc38j

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameter, but xbgllu7* 4j:een, ft0one has twice the mass of the other. xenu tf:b,lge j*l047 The ratio of the larger moment of inertia to that of the smaller 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 th:qk(+uuy n7ph e other.p( q:+y7nukhu 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 mass andyvn nhr1 y7jruo;1m:; ,zf0lh twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment o lyzj yo0hr1;7r:; vmf,n 1unhf inertia is

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18#

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A uniform solid sphere has mass M and radius R.jt ho-,txmc29 qm8zyyoy5 af7 j8nr*6 If these are increased to 2M and 3R, what happens to the sphere's momenta jzjq -8ty2y ,n *o7mco5f6 9xmyr8th 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 app-tj80szp(3ed d ,q4lv ,aqu ielied 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 given by 0.5 MRg-i c +ew l8gqx;3a5ox2. If this cylinder rolls without slipping, the ratio of its g53gl o-eqc i;wxx8+a rotational 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 kg, one wheel ohlw 7;x 8ckbs n-vw*x(f which has 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 wheelsh-x 7nxkbsv8(w*l; wc 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 slipping do yi: 2cl(moa,lwn an inclined plane starting from rest. The l2alm (yi ocl,:inear 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 without rb)f lsjm 7:m4u+ gyuh6a4lwj)r,ki7 slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the i+aumijl g:7) wrs)u,h4rb7kjlm6f4y ncline 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 mome9pj.pw w4fd 7plxg57bntum of a system of particles changes when a net external force acts on the system." This sta 5xw4l d gpbjf797.ppwtement 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 particle;yh 0f yinr0fbuf,jzn2 ;0-l ls change without anyzr;f nyjuhlfn yf0 ,0l2; 0ib- change 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 elliptical orbbu02)ku7lk ( jty(tztit. Ignore any friction which may be present. What happens over time to the Ea2kkz0lt ut(7(yu jt) brth'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 elliptical or+1-wjoq y8)qvyw 3th1r g q8mbbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting1g8mqqwby 3)h-q wt o81jy+rv 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 pir kk yhpfxh wg.wi(*802ouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis of roth8w0 hkkwxi *fgp.(2yation?

A. It does not change.

B. It increases.

C. It decreases.

D. It changes, but it is impossible to tell which way.

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29#

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An ice skater performs a pirouette (a fast spin) by pulytq+y(3h5 xz h ,wn( jo4zi3zeling in his outstretched arms close to his body. What happens to his rotational kinetic energy about t(t(4wy3 ,qn 5zh i zzh3ej+yoxhe 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) 0 zhu4 ht3gj/ ,sturv1by pulling in his outstretched arms close to hirzt g,ts4j1h uh/v03us 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 conservation of angular momenw9)kp eb2nxq n *yqs iw4/i58atum.

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* yc4,vvjbm)a month period in its nearly circular orbit about the Sun with a rabv *a,cj ymv4)dius 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 offc bou-+:f+,p jch4mzf,3 w-yumu7 pi 0.30 m. What distance does the tip of the second hand sweep through in 3m , :u7mufycpf+pf,ih4zwj -u bo-+c 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#

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

How many rad/s is 25 revolutions per minutenz5ljr; b:8aj+st t3 k 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 rotatesgsg /xm1giml3b 72k ezi 8,)gh uniformly through 2.0 revolutions in 4.0 s. What is the frx1mz7 h)/b3kg2g ,e mg8gisliequency of the wheel's 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 of 0.40 kHz. pid88 4egiehf2/ky0o The period of its rfeoeh8 ydi80i 2pk/g4 otation 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. Through what angle does it turt* 4n : mi;ber/s/vcpan in 0.20 c*tr minap;4e//vb s:s?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on trkr on1 .s 1,kemmg3/she outer n.1,1r grksmm os/ ek3rim 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 info -mw 7qc9 -rq*iafdph8 b.1s the average angular spee.f dqbn*pa71qiwch 9rfo8 -m -d of 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 rotates uniformly thrc l 5tl5mf1zrg;ko9 f;ough 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.1 fl1zo5k glr 5tc;m;9f0 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 disb-pc-x.( (eu g1n, kn dx;czgdtance of 6.8 km. The cable which moves the car is driven by a pulley widd;( px-ke,b 1gu(ng-.n cxz cth diameter 3.0 m. Assuming no 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#

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A wheel of radius 1.0 m is rotating with a const 23e;j.jm(csh 5t3 hf0q*rllevrtmf8iu)8v oant angular speed of 2.0 rad/s. What is the linear speed of a point on the0l v 5r)mfh ouji8les(8*f.v3t2c mjqt 3 ;reh 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 gasj)7pt,uwd.- q ao go9p-powered weed cutter 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 end of the cord.qj o)uwt , g-79popda?

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 a aj:j q) qpq6-h buc0pa.;h6 cp8(vub-vd klz*ngular speed of 2.0 rad/s. What is the cen8v;:h *a6 k-hz-q 06pcbu v(lp.)pcaqqbjudjtripetal 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 acceler6h,ja;jag8 e 0i(yol iation of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike (yg;h o0iea i6 ,j8aljis 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 circularj.s+jf:dbad; to99y (d7r*embheu - ba 3lgz2, rotating space station (r = 1000 m) rotate to produce an artificitgue:d dr.j-dy+oj sb 923 eb 7(9m fabhz;la*al 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 curve of radius 50 m wi.1l26bbflw z(8es umvth a speed of 20 m/s. The maximum centripetav lf.lbwb1m8su6z e(2l 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 d5b i h(2zn 8/)o8qtabz3pmt7v kk (niof 20 m/s. zq(i ikp5t)(83 a2 /ohbnzmk t7n8dvb The maximum centripetal 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 string, is whirled around in u1bf(r 1ecwj +a smooth level table. If the maximum tension that the string can withstand is 250 N, then whrefu(11+w cbjat maximum 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 c, i)kv)xl u /ziq3y;rdm rolls without slipping 10 m down a lane at 4.3 m/)vi)kzql 3xu,ir; dy/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 cp / z 8sd88(a*ncsl dy(kwcq/aonstant 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 f pfriku8(/9/ f6w*vvvbmu7m 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 apaelj1 -os 76jutomobile tire rotate after starting from rest and accelerating atpjlojae67 s1 - 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 an angular bjwv, /hygc521oxtqt5xe hy8si*9 0 jacceleration 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 consbi;;ctsw et*yu9 fi+1tant angular acceleration of+y1tis;wb*9ctui e ;f $-5.0 \; rad/s^2$. 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 spe1d8j6yx3k wr qele;7 ded of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleratwl76jrk1ex;3 d8yq e dion 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 q9.84cr.bbnogma3xf50,dw k1vip cy of 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rot8 fo r0ic 3d ,n.cy bq49g5axb1.wmpkvates 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 uni02jnv.d j4nn)eo;bwq formly from 8.40 m/s to rest over a distance of 115 m. What is the angular accelerationjv )nn;2wjnboe 0qd .4?

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.*hju 2mpoe +or75e6nt40 m/s to rest over a distance of 115 m. et*m6on 2 oue5 +rjp7hHow long does it take for the wheel to come to the 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 ro4 ,unjc/:8ucnj wti a3tational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before wjn8/ ,ia :43tjuncuccoming 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 tighteniud -7(0hhbrq3nqae c e )1p h.9agetx(ng to a torque of 90 Nm. If a 30 cm long wre (hbaph)x(aqehetc9 d g0-r.7 e 13qunnch is 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 ce s97 mote2-1) )3ow3 yreotia9ec byof inertia $3.00 kgm^{2}$ 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: magpbr * )g9bz/tss m is at the origin, mass 2m is at x = a, and, mass 3m is at x9*bt p/ zbg)gr = 2a. What is 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 is iw /hqkde+5za: /7svx 8 t a 34xgu(6tsfqwq1gpivoted 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 ano3s:tqg4/kx(518xf t /7 wq+i6hwge dauzsaqvther 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 f: t 9lpaq 8-rixb)-jba frictionless axis thought the center O. A rope wrapped around the outer radius Rpf-tbia 8bj:9ql) r x-1 = 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 onn-v) vvcexv*c( y/tj 3a- xs3ze end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular vc-tsv ( jz3n va)xyve-/ 3xc*acceleration as it is released? (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 1.5dfsj,kne 8d 9 iko 1u.;cd4ayvnt9. ::qp8 jxa kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket :fjac,tnkudqk. 9 e4 na8:8v jx1pds9.o y; idof radius 4.0 cm for 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 ropenge 9/l 2oxsbj3il8/q wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular/j2ise8 /ollgqb x39n 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 wrapped around a frictionless disk pulley of mk :y ek 0lob90w3-mimcass 7.07 kg and radius 66.0 cm.w:ly9em-ic 0k0k3mob What is 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 is required to stor3o(32vyg n e3ive2 nvie $1.00 \times 10^{6} \; J$ 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 inertz e ,f:w)9)bhn4gumiaia 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 0ws j5hl7 8cmsxz2f i6from rest and rolls without slipping down a 1.0-m high inclined plane. What isxis w5 jz6m27flcs0h8 the speed 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/b.hf heyc1yd -8e7 f:ws. How hi7 eb dehwc.f- :8yhy1fgh up an inclined plane can it climb before coming 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 0.50 m and a mass of 0aq5y, 5bz1-fm d zeia 8z8upy*.20 kg is released from rest and allowed to roll down an inclined plane. Hoyf qup55 ezb8z-,1z mdyaai*8w fast 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 withoutfgsvn*4j 8puz :y g,:y slipping down a 35e incline that is 7.0 m long. 4 8 fny:vzu *j,spgy:gAssume it 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?

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 rlm::;4zpv, r sw+ -u q.ldqdh5ertp ,momentum 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#

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 momenqtlz.2gi fv)qhnuv;f9 5 v-f:t of 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 6-pnf2nlsbp i:iv/kte;s t08 arms extended has a moment of inertia 0/tlp: i 2sf8n p-nb;6sekt viof
$2.25 \; kgm^{2}$. 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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