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

1#

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Angular displacement is usually express in units r csy 4;4xxcy4of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in uni) 4o 7z2umjlghcak a/svj 16+dts 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 expressed in :ma6,3yr(8 b ns3mso6van zriunits 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 constant vjt h ogdc)6,v+w6r z:m,sic)t7pqt xw/ ;ma-rate. The boy is near the outer edge, and the girl gw hzcrvjm ix tmq, +;wtc66)) /vtp ,7:s-adois 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 whi treq 5yzvg4b4))a;6 a ekxz.zch is turning at a constant rate. The boy is near the outer edge, and the girl is closer to. gvz4y r;45kb)6axqaee z)tz 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 arelxp)h (xk-sf;p1xj7o riding on a merry-go-round which is turning at a constant rate1x(x sx;of )jklp7-ph. The boy is near the outer edge, and the girl 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 riding a merry z5o: rl2+tjcu-go-round which is turning at a constant rate. The boy is near5+ o:cuzt2lj r the outer 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 merry-go-round which is turning at a cone 8 wgsy.lsdypj+ydm:dmn( a*-*h29l stant rate. Theaedm gd9njl+yh(lm2y p8 sswd.*y *-: boy is near the outer edge, while the girl is 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 ofx:m vp b6as;mk tg/y,0 the following is an accurate statem: asbx,;/t mkvp0g ym6ent?

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 dep )ipucd5;p6qz ends 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 door. The fir3(jkgt , zskyl60 som/-/o mhost force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which (tso o kks-yzmjlmo0 / h6/g,3force 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 4rb fxg 2z-,e8xe6qqs y7d(dy to a door at the doorknob. The first force is applied perpendicular to the door; the seco,bed2xs 8 y47rz f (xd-6eqyqgnd 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 d gri,s,+z :u :j8befzooorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of t, :zsufrzb:8o+, iegjhe 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 objyh4kjj i qu19z v+q;0wect's resistance to changes in rotation?;vw j+49yu1qi0zjkq h

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 nwvg1 ,;craih o2.dk p32z ssl m/1y 2shu;i;twhere both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that op;linz k 1m2o2/wtu g1ydrsa3chh ;2i. ;vss, f the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, b3wl7 vql v1 mxpye-(q)ut one has twice the radius of the other. The ratio of the larger m 1l7v)-qp vw(xyql3e 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 ma vqw;/xec n./ce:c*cass and twice the diameter of the other. The ratio of the larger moment of ine:cc/ qna; ex .wevcc/*rtia 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 radius R. If these are increasw7dyb 0a 7ty6xgt*j5 red to 2M and 3R, what happena*y06x tb w5rj7g 7tdys 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#

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

If a constant net torque is applied to an object, t/ ,p2 :uazw0rp i7qpudhat 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 MR2. lf6n38l0 2y-8cep dxhjj oxv7 If this cyl3dvo07y6hl jnx8e 2c-j pflx8inder rolls without slipping, the ratio of its 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 t kvw;pd8hrvvcg.4wpl79a41kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy l;htvp 8v 449r7 vdc.gakpww1 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 olvr;n(dwd 6) radius R rolls without slipping down an incd6( ;o rdn)lvwlined plane starting 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 radiug . zax xjf.gf.;6bwb)s R rolls without slipping down an inclined plane starting from rest. The angular velocity of thf; .bjzxbf6.g a.)gw xe 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 ex8tnq7yxwl8 : fternal force acts on the system." lxyf:8wnt 7q 8This 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 angqfmd+0um;wy 9y6 xbp7,ha r 8nular velocity of system of particles change without any change in the system's anq608hp 7;wdmrax y f+b,9yunmgular 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 lhnzlo.s8 c)0ip0 s; a yyvp,0friction which may be present. Whatlosnc0y s .ih z)8a ,y00lvpp; happens 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 elliptica1b/n8 yicw1vkt-u1qj l orbit. As the Earth moves close to the Sun, then which of the following best describes the oryikv8-c1w qnj11/b tubiting 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 pullingoz b-dlikwu dp;:c1la 9o36o1 in his outstretched arms close to his body. What happens to his angular momen o wuoclda9i1bdpko6: -3lz;1tum 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#

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An ice skater performs a tenzt6r) 4w 10xv 1i)wtgotkxbm *v.0wrs-(wpirouette (a fast spin) by pulling in his outstretched arms close to his body. Whn6-0 4irtsxrk 1g0.)b(wexw twwvt) *mvo1t zat 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#

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

An ice skater performs a pirouette (a fast 6 c6*z):fsakmy76 tgld cll(ispin) by pulling in his outstretched arms close to his body. What happens toa(gmzc sl*:7)6d6 tk cify ll6 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 conservato/(*e70 5mcp z cjbbsyion 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 tradyb g9syesxarpl l6 vwg0; *.bz,+;- jvel in a three month period in its nearly circular orbit about the Su g; rg w;zs0,llbd.+9s yp6abv*xy j-en 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 dpv8dms09l +s uoes the tip of the second hand swpsd8usvm0 l 9+eep 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 revolutions per minute equivalent ; 73ii;d 7p s9chhoie t3lhaw1to?

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. What is txkcr 0k7avr.8v7 is4m d6cy7zhe frequic46sz.7c7vam7r r80 ykk dvxency 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#

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

A pulsar (a rotating neutr7;ol+ b5cux3 muv0 178vrhscuxgp (jmon star) emits pulses at a frequency of 0.40 kHz. The period of its ro;51v uuchux7lm+8 x mv3ogj(07rsp bctation 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 rotate: ev;maf pf+/i/mn:y qs at 45 rpm. Through what angle does it turn in 0.20 spme/m nfvq:;: yi +/fa?

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 1yr1u*ku9+*ajc u)ezs0e 5m ig500 rpm. How far will a point on the outer rim move in 2.i )**0 arz s+cu5kgejmeu19uy1 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 throm2,9f9fdc vz p7nbsd7 i-:9emm ;qjd yugh 2.0 revolutions in 4.0 s. What is the average ie7mbjm m9pf qycd n7zd:ds99 -; 2fv,angular speed 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:iz6x5pv p eog 8.xnbhba3quge2j 6,8 uniformly through 2.0 revolutions in 4.0 s. What is the linear speed of a 2.oj8hq u v3nz:xgg8pi b p6ex ,5ab6epoint 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 6.8 km.,u/jnj1m qstwj-j x8. The cable which 8. 1 qjtunjs/wmjj-x,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 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 rotatiw8qntt x 1r p,w5w,.bung with a constant angular speed of 2.0 rad/s. What isx 8p5 wqruwtbw,t.,n1 the linear speed of 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#

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The cutting cord on a gas-powere7m2sjihez ; ic+huybhb t)5f.k( ;; ikd 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 o.jbs2 k + y(;z;kii)uh 7t;5bmfehh cif 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 2pjgfd*hhs,k9f +ap3r 6,zz akp z;9lrotating with a constant angular speed of 2.0 rad/s. What is the centripeta92 h,zpgkz j 3*p69 hzk;d+paaf,rlsfl 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 centripeta2eaas : -;0hn;iqthoc8 *x ndal acceleration of a point on the perimeter of a bicycle wheel of diameter 70.0 cm whd 0n;s*;aha xeo28n:qhc tai-en 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#

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

How many revolutions per minute (rpm) must a circular, rotating space station (r s i+hz-;-lpnq = 1000 m) rotatnsi+ hl -q-pz;e 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#

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A car is negotiating a flat circular curve of radius 50 m with a speed of 20 mz zp-9v:q gi v6cdt9ibn+mm/./s. The maximumtz 9v m:mzpv/idb +n 6i.gcq9- 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 weeg;7 pu k:4:6dj16unks7 fx n6ihh zwith a speed of 20 m/s. The maximum centripetakh;nix n7 :6shzd :g6u4f7wpuje61 ekl 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 t33iqxjyzca .e n7cwb rxid991u 3e:+ to the end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the 3udjxi:9tqebn +cer .zcy937xwia1 3 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 ke..bm y32y (o 6emxevff6u; p7.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.6o3 ee.;(ymxvm2y.eu fb f6k p3 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 consta kwcp 3pw)tny8vvg/)ut, p 6b6nt 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 constan -b 1tj2kla1-c) u2..bf omtq3nu vbqft 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 starting frovp6q(f /jitr2vj 5+pim rest and accelerating at a constant angular ac p6p (ij2tq+v r5/jivfceleration 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, andtxz3f,(nsfi a46, qm z has an 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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Mark Problem

55#

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

A Ferris wheel rotating at 20 rad/s dez72p vwzv3 u6bots +/+;chyl kfc w61xcelerates with a constant angular accelera u2 1w3p+xywzkcb +7s/vc;tzhl fv 6o6tion 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 anguh ewjs 6gc. ;m8r)ssi0lar speed of 6.0 rad/s while turning through 2.0 revolutions. jc.ieghr w6;s8ms s0)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 unt 0pg 2fa 1x4)5pn.cca;jjkukiformly from 8.40 m/s to rest over a distance of 115 m. What is the tocc nfapj0t4. ku5xk);a 2jg1 ptal 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 nq-.*s jmz/bfn/u3qj to rest over a distance of 115 m. What is the angular acceleratiobnqq3zj nf/sjm* .- /un?

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 zwaf)ot.mh )7 8.40 m/s to rest over a distance of 115 m. Htw))7 ham .fzoow 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 rotathk8 f r854 )tmqqvx(lzes at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before cominghr8q4l5x 8 t)(fvqzm k 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 tightuv, iet6ia/q:8n 47 5cm vn+xt*tidkn ening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force85cnm/e+ 76ntui*,i: tqitvna d v 4xk 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 inertiz4t e),23 hoyfe)pibna $3.00 kgm^{2}$ 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 the origin, mas6olb1b r, 5yhbs 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about5 rylb 1hb6ob, 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 a frictionless axis thought the ky6plfaa j *5ki.(wt33 yi v(fcenter 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 k5wj lfi3( p6ayivy*(.t3 afkwrapped 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 ,7mq ,a.;2yw0rjuzn1 qilupbpivoted 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 a,pnmwq;j01u l.uby, qz72r iN 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 initiaa*ky ny uw)v+2lly 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? (The moment of inertia of a roy ny*aw 2)ukv+d 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 kglss+z*5wlbe5duy. :d. Neglect the mass of the axlebl.su:*zs y+l edw5d 5 and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without 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 yx m- nr8 0(orb*sa6algv4u6s a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acc0r4rb 86yax -s 6umog(v*lanseleration 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 frict d:r-x1 .bvhscionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration of thevrsc xh1-.bd: 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 gltmkjd)h6g) ,pi*g 0can be used to store 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 irj;fej9 :/zsz8drnz+ nertia 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 anm5(ksq*1bw j 4 k.funvd rolls without slipping down a 1.0-m high inclined plane. What is the speed of b k5wkn s(v1m4*. jufqthe 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 max/(5b zvvnx r70w:z3wnd4 svy ss 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it c3wnnv5x0zd yb7 rsz:(v/ xvw 4limb 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 0.20 kg is released from rest and allowews7,(.rwfm03; k8 ueslo fcsz d to roll down an inclined plane. How fast is it moving after droppiks.f,m;sfo3 7rwec(lwz 0u 8sng 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 sli zty.ov- ()0tos,vqinn ;j u(ppping 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 0nvt(qz u;yv-oto(i)p.n ,js$I = (2/5)MR^2$.
(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 changn-hjkyxs ,8 d)es 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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Mark Problem

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#

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An ice skater has a moment of inertia o , 6qpqkz5lp)hf $5.0 \; kgm^{2}$ 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#

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A figure skater rotating atipf0i7 t w c8g ln/070tcasis5 5.00 rad/s with arms extended has a moment of inertil0nis s0 i7gw /7t80a fi5pccta of
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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