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

1#

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Angular displacement is usually rkhss6j9:p c4w838 w/ v oefqnexpress in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed jj3 : hp5w/(th 3*qa.fig nb1hk:od gfin 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 exh*pgpg)tvf giib,t2r-4 5 t7gu. e ,nwpressed 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-fo-ke6t+e(eprco 3n*uu-ua l d83 g2cround which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angul3du2lf pee eu 3+uo6nk*r -8(c -tagocar 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 wh; l8sqexy8bd k5e5 (;gyy,adlich is turning at a constant rate. The boy5dyk8,8;la;yd be g(yqlx5es is near the outer edge, and the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

C. Both have the same non-zero angular velocity.

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turninla inr:ck/(+q g at a constant rate. The boy is near the outer edge, and the g/a+qlrn :ki (cirl 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-go-round which 5lbcrqz-d hre9ca-t7z)7,z kis turning at a constant rate. The boy is near the outer edge, while the girl is clocz7-,5)7clzrka zq9-hrd e tb ser 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 turni h.tip7lk:0 rw-j-e rwng at a constant rate. The boy is near t-i-r. k tr7:hw wejp0lhe 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 ci0zb23l 7tmnfi(5 v wwn :s/dthat is rotating. Which of the following is an accurate s52im:lfc 3nvnwz d(bis /7w t0tatement?

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- 2cp t- j/hwkrs+z1gs 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 to a door. The first force is app;kgi:3 o.thlb 4b,eh+x: t awjlied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied xh;ogb:hejit at.,4w+:3k l bperpendicular 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 al9p n8 qq9an:8kvtdm0 door at the doorknob. The first force is applied perpendicular to the door; the second force is applied tp9qq 9ln8v mk08:d anat $30^{\circ}$ 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, perpendiculalw-w08an8 *sh ,fk tlor to the door. The first force is twice as large as the second ,kot8hl -wl0ws8n*fa 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 obje7cif,sus )0:4ejrbj:n-tqwz ct's resistance to changes in rotation ucbjq:r 0fs,s4wetn)-j: zi7?

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 botec5tt ki in,x.i70 yg+fv n*.dh have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia tdnt+ 7i y,5ii0* f..tecgxvkn o 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 radibqobdg4wo,s ij0 pki21)3-ewus of the other. The ratio of the larger sphere's moment of inertia to thaoi wjbbw gi,s d0p)e214o k3-qt 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 wh3xn cgw .w)cp2n( v*cnere one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to thatw npcn (c*n)2 g3.cvwx 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. n-h, , .5 fgkd tvacv760cfrxdIf these are increased to 2M and 3R, what happens to the sphere' k0gc-,adcvfvn xt7rf.5d6 h,s moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, that object tv6)co h+mk*cwill

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 uf /gw fm0)r dvvq5z*)MR2. If this cylinder rolls without slipping, wqrum dfv/5z*gf)v 0)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 kg, one wheel of which has a mass of 10dzh c3yx6z l9+nq3w/ o5ed i2b kg and a radius of 30 cm. What is th 2e33zic59q +bldzwyo/ 6nxdhe ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of m ofb 6. mp0u/itao-ns3ass M and radius R rolls without slipping down an inclined plane starting from rest. 6nboi- ta. pus/ o3f0m The linear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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23#

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Suppose a solid sphere of mass M and radius R rolls without slippin,wnfwf3 ucys8go40bk n* u/q )g down an inclined plane sunf 4koyuq0fw)c w8b *g3 s/n,tarting from rest. The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

C. both the mass and the radius of the sphere.

D. neither the mass nor the radius of the sphere.

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24#

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"The total angular momentum of a system uqwa 1z.n.*n vof particles changes when a net external force acts on.q n1n w*zu.av the 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 cip 4 121lm7ck qs:fcammog6:qan the angular velocity of system of particles change without any chsmm7poql:1i 1q4g m 6ckf:ca2 ange 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+; ethaw-70+moob-iy/o jakr / k w4iz elliptical orbit. Ignore any friction which may be present. What hayi-k4i otk;+7o w wjzo-ba/me r+/ah0ppens 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 elliptical orbit. As the Earth moves closer 0-zp 7xc2tgjj1a*qn to the Sun, then whi1cj tz-qa2n7 0*gpxjrch 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 (xy fj3ycyn10kz* r5 j4a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular mokr0*1yxycyz f34 nj 5jmentum 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 pirouetcf4uux-pku/ h r k8y9 bg*lf4:te (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy ab yku:c8bxfhlk -4*gufr up/94out 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) by pulling in 7ug:kbk*ecn 6his outstretched arms close to his body. What happens to his moment of inertiaukn cg67b:*ke 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 anbu*yps:*.0nxv2 uuqjev,o nn/ 9h /x mn+y9aj gular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month perird 2ou57yuot)1dml. sod in its nearly circular orod1ru .)y5t 7s2ud lombit 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 ()a jinqsu))byb- ;qndoes the tip of the second hand sweep through in 3 minutes and 45 secn )jbqu-b y(a;))qsi nonds?

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 ,gj,zlr j 03fd0dgh3b 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#

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

A bicycle wheel rotates unikcj tgu0y6g.n2o3a ( eformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's r2yjgge3 okc(t0 6u. naotation?

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 nen ef1r1y j fa- 46tzk42pnib-uutron star) emits pulses at a frequency of 0.40 kHz. The f -e-an u4rbt4k1 p 2fj16iynzperiod of its 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. Through what angle does it turalal );ng/i4yzm z s01n in 0.20 ss nzlm al;40)/a1gyzi?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turns at 1500 rpm. Howeoo 1o xo5-j5wc2xi2 v far will a point on the outer rim mo1xx vei5oo-j5 22ocwove in 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 revolutiu t vp l.17jxy:cc)a5;2fxu23v veudxons in 4.0 s. What is the aux c21eayx tj2);d7p vc5 lvvuf3:.xu verage 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 uniformly through 2.0z:iq n,--)4es nn-zl gtjobk 2 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the center on-izt -ln -qb jkn4o) gz:es,2f 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#

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

A cable car at a ski resort carries skiers a distance of 6.8 km. The cabl kid*j6l7x 3 t.5zqdnfe which moves the car is drivenq7f*d6i5 xjln dz t.3k 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 rotating with a constant angue ih..) jz7/ov /(ykzo m8ny uh:.yrnvlar speed of 2.0 rad/s. What is the linear speed of a poi y7/ v..zymne/h(:uz)hvoynoj. k8i rnt on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 0. lf1tn,c18cd k16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of 1ft dlnk 1,cc8the 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 rotatiwf1fzoi1h m.w or965dng with a constant angular speed of 2.0 rad/s. What is tdr91 fwz6fi5h. oo1w mhe centripetal 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 accelerlq3v la qu(g9-1xdph 5ation of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when th9xd p5- g lv3l(auq1qhe 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, rotati9h8t07 ld05jrk: y1befznq om ng space station (rj8tqm5r:hf1709 kd zb0yle on = 1000 m) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve qz jyun6tvmi)59c7o1:p *bpcp/ k hq6of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by stp6h ictynq5p p uz7*mq: )j9ovk 6cb/1atic friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

A. $0.40 \; m/s^2$

B. $0.80 \; m/s^2$

C. $4.0 \; m/s^2$

D. $8.0 \; m/s^2$

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a speed of 2:dyo *gvd. 7vf0 m/s. The maximum centripetal force (provided by static fri:*.f gydo7vd vction) 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 -l uv u/pmd+gb37bif7 around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed ci / pmu7 dv3b-blug7f+an 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 masigxh6vg 4*bdzj1 gl3 *s 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a l jg4z*3gdg1i6*vl bhxane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant anjip 4*u-;yt jpd 34kkmgular 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 zqh-c7fpru 8, +jtf; uwith a constant 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 autoiehyhx3l5b a/.bvo3.9j7ba 7 h9zwsfmobile tire rotate after starting froji.zov 7e9lh .73hh ba9ba 5 fybw3/sxm rest and accelerating 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 an angular acc-8z- xqxcw0+jy cw 0iweleration 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 zp.f:.hy7x otd +w 59/ kit4pyym-fboconstant angular accelerati5y4iftwz yhxft ..y /7p pkbo9-:+om don 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 hcvkt6gd2,9 wgmp/b5 angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of hpt g2kdgvw,/c9 b65 mthe wheel?

A. $0.24 \; rad/s^2$

B. $1.4 \; rad/s^2$

C. $3.0 \; rad/s^2$

D. $9.0 \; rad/s^2$

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to reby553iqnebm /mo 92fnst over a distance of 115 m. What is the total number of m25y3qo5 mnbni/e9bfrevolutions 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,.j)0z molac p 8.40 m/s to rest over a distance of 115 m. p l0o ,a.mjzc) What is the angular acceleration?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

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

A wheel of diameter of 6hdv oh*fc-60 b8.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to the stovo d*bh-fc 0h6p?

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 medicr-6hx1 *aoikral laboratory rotates at a rotational speed of 3600 rev/min. When switched ofirxr a6h1- *kof, it rotates 50.0 times at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening todolk) +46+u(8celf1otu31wg ya zm yt a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force appli m)zte+ko3d8yt4 l(f+ 1u1oc u w6galyed 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 xdn91sy d id;+of 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: mass m is at the ori9y)6 m6o )pfb6 spohyhgin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia pf mob)y py6h6s6o h)9about 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 f jgqqe-9 d9fy3xg0wss8g;( sdrictionless axis thought the center O. A ropesgy9sg9s3-je0 ( xd 8dwq qfg; wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is 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 fn1 c6ww;eslv *rictionless 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 anoth v6w;sw*ln1ec er 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 held in jde z gipy)oy9 4ghw q05g(:t/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 rodq:h0tp( 4zyo9igdy wg5gje/) 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 kg. Neglectpv+ 3jpu+t :y8;wr;5zykyguk y /q3vcc4mwj 8 the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of/++5pjvv8 ktq kw g;jypu yu:yw438my3;zcr c 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 rope wrapped around a frictionles 1v5/)yuf b rupq507 elaibnp8s disk pulley of mass 7.0b5)y 8b p7fulevari0 up 5q/1n7 kg and radius 66.0 cm. What is the angular 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 nm,cr 3hl*/ dgrope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is th lrch,/gmnd* 3e 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 gx -/-+lim6rrx;tyombe 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 iner48k. s gdc0xputia 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 andnwpips + .9m 5zdn8jde/fkaf)vd 0) 6h rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined pl.es)dn fddfn0/wav 9)mk8pi+5 jzp 6 hane?

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 ksfo3weobi;:ox 7; :c0.010 m rolls with a speed of 10 m/s. How high up an inclined pso o 73:k o;web:ic;xflane 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 0.20 kg is released from rest and allo87ual bvu+k0nwed to roll down an inclined plane. How fast is it 8ukvbl7n0+u a 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 r/k/rxu yr,e 1a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inerti /urr,r1/k eyxa 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 mom gaki / l.meq;tt6()kventum 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#

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An ice skater has a moment ofp jeme:wqf0 )7tcre r29a:b*f 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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79#

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A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertt/dd)m 7oqztf/tqn: e 2*vs-aia tteq)s7z/a :q/vm ddfnt2*o -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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