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

1#

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Angular displacement is usually emkwtn5y 3 sr0x49u f+hxpress in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is mhl7s 8xs58 d)4g0w ehaq)pmmexpressed 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 express c /pqbj6homj7rjl4 +,ed 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 4 vch4;cbhcnb t474f hmerry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the centhn4vccbh4 7tf4c; b 4her. 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 turning at a consuk-;wn*+jgcs rvg3 8 qtant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greatervg- sr j*cq;kgu8n+3 w 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 ag fod(k2x h7js4k 1o3; amj9ro merry-go-round which is turning at a constant ratm 19kg(2 o3sfdraoo j;kj 7x4he. 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-go-round which is turning at a constant gr- q +njwo4gv2 y5e2lrate. The boy is nea+ 2 wevlgo -2qj5gr4ynr 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-r bn,utc7ex-/yy -f /jlound which is turning at a constant rate. The boy is near the outer edge, while the -txjycbn /f-/ uy7,e lgirl 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 ybz-e *j9xmhi)a* of f-nw(e)of the following is an accurate statementa *wx)(oeyemb-hz9)n-ff i*j?

A. Its center of rotation is its center of gravity.

B. All points on the body are moving with the same angular velocity.

C. All points on the body are moving with the same linear velocity.

D. Its center of rotation is at rest, i.e., not moving.

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10#

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Rolling without slipping depends o:u7 ism1a9t-ecp r mdpm;x)7en

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 wu475 cn:w 7jbk, c ksnntxn73a door. The first 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 force exerts the greater7k7t cws:3w nxcn,jk n nub547 torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The first force is app -d1xkwhucqwhl)n9r gm; *.s -vj fp45lied perpendicular to the door; the second force is applied at cwx-f4w5h - s;9h . uln1qvgjpd*m r)k$30^{\circ}$ 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 a2v.khs; ma2,a;/htx - xwcvn8/yhvzf doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to k -.twva;s nx z x/,hh;amhc2vy/v82f 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 resistanc*7x qeqpg 7q*oe to changes in rotationoq xqqe7 7**pg?

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 one h y-3i 9mypjvq5as twice the mass of the other. The ratio of the larger moment of inertia to that of tmpy-j 39v yqi5he smaller moment of inertia is

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16#

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Two uniform solid spheres have xa k0)ep 0kp- avlk16tthe same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the p0la60kexa p1kktv- )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 /byqw,rr edct76nbh z- a*2dz14ty(wtwice the mass and twice the di6 (dw z*nt1r dqy /4h- ety2bwrc,az7bameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increasedt*4 xrnmff f4 g-2hqr3 to 2M and 3R, what happens to the sphere's moment of inr*ftmg n3qrh2f -4x4fertia 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 obje3 doeg-7dohwv1d3-0lpa 1ujr ct 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 givqdxru at pb z2nv +q2og+909l-en by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational vgt +a9bzlrqx 2+p2 -ud9n0oqkinetic 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 10 kg andok/7s.c2jqb4 cetaxp u;e 86j mm1 qd; a radius of 30 cm. What is t;djtc6; m acue/mx72op1sq q4bj.8ekhe 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 mass M and radius R rolls without slipping down7lds w0e4h4:yrr;i)gc j zj36plh :ta an inclined plane starting from rest. The linear velocity of the sphz 4lcr7ra43s: d)wel j0y:ph j 6gt;hiere 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 radi6g97 v +rty zqjw1cy1 m6atch/us R rolls without slipping down an inclined plane starting fro6ry/1m9hgt6tvq c7z 1j +cwyam rest. The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles changes when a net exterktenri p9 l +;)xte7f0nal force acts on the systemx rl0kfn+9p7;itet)e." This statement is

A. always true.

B. never true.

C. sometimes true. It depends on the force's magnitude.

D. sometimes true. It depends on the force's point of application.

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25#

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In what circumstances can the angular velocity of x:h1 nfvwe3i)vyn5ju0jz* 5,m;bmr j system of particles change without any change in the system's angu znjn m j e0bwrhvu*mx)5;315,vif:yjlar 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 aha abk0.9b -jgn elliptical orbit. Ignore any friction which may bhajba 0bkg-9 .e present. What 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 elliptical orbit. As the Earth moves clc.j oue 9 h8 jy-5qru8zzt(d0hose to the Sun, then which of th 85jhzu-8o(tdhry.zu ej9cq 0e following best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fvm0l 0why18j6y v)mfw ast spin) by pulling in his outstretched arms close to his body. What happens to his a01jlwm y0 m6fvy)8 vhwngular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouette (a fast spin) by pulling in hr7vw 2x.qx5w9 ywvi-g7 gloe+is outstretched arms close -w. 2x y+gxvewo7i9wl5vrg7qto his body. What happens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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

An ice skater performs a pirouette (a fast spin) by pulli1ookdp s u*b qt/o1-*hng in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rotatihskpb ou*d-*qo/o 1 1ton?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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

State the law of conservation of angngff),kw a;cw+tk ,/b ular momentum.

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 j8j:5 .bhh5dx*fc i ga9rkwo* Earth travel in a three month period in its nearly circular orbit about the Sxa*ji 5.hkdrwgocfh b8j9:* 5un 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#

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

The second hand of a clock has a length of 0.30 m. What distance does the tfr8mk0,lixhe:; 7jq2sim tn2ip of the second hand sweep thrxm0 f7;r2:k jmhne islt qi,82ough 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#

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

How many rad/s is 25 revolution-dc f jgtk)y.;ryx7u5s per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. Wha4fh1h,cwqx4bg ld 9 gg nx,e07t is the frequency of the wheel's rotatio c ,ne4fhwglgx7bx401hg ,q9 dn?

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 fr 2hjsp2op xqw6d .u*3w1go3qbequency of 0.40 kHz. The periow ohw b*j1px22o3us6 pgdq.q3 d of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rotates at 45 rpm. Through what angle does it tur ;o7vy5* 0ybin-.ugbf5jq. s e.koorpn in 0.20 s?n ruy .e5q. i-gv oopfbj*;ky07.b5os

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 2mgh59cj*m 9 fmh i2prcm turns at 1500 rpm. How far will a point on the outer r c92fhjmmg2p 59m*ihrim move 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 e+ c/c)* jmienrevolutions in 4.0 s. What is the average angular speed of tc)nej*ec +/m ihe 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 unifo7 x1tn++1 lwexputkpve /gh/04v+6hv;aqsq b rmly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the/4x1e6 +vh7q+ te0ksupx1qw b +vl;vgt /pnah 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#

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

A cable car at a ski resort carh0df vmm zx)5c0 l94piries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Ax)cdvm9 5f0mzpi4 lh0ssuming 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 angular spee-2w,5 b/rii2ax ws h-w*bouwrd of 2.0 rad/s. What is the linear speed of a poir2h-b *-r ,o/wiibxwaw w52sunt 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 sah2 kxc 3q7-ia gas-powered weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, wha-kc 7xiqh3a2 st is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a consuf/uc 3:ri.lctant angular speed of 2.0 rad/s. What is the centripetal accelerationf./l: cur3i cu of a point on the wheel's rim?

A. $0.50 \; m/s^2$

B. $1.0 \; m/s^2$

C. $2.0 \; m/s^2$

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

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45#

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

What is the centripetal acceleration o4xrwymf1l4 2v.8ao mlf a point on the perimeter of a bicycle wheel of diameter 70.0 cm whe.41rf8a 2yw4 mol mxvln 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, rota* 0af mqzoxomn0hbu8z51 wke 0hek; /b5np .f.ting space station (r = 1000 mwbkm0z /0 fu o.bezhx.a8ok; nenhf5pq0 15*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 of radius 50 m with .w 2dyl /ymeq2 yur*-da speed of 20 m/s. The mayq /dd yy2reum *lw.2-ximum 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 circulaj * wm- 0uff7d.j/bjdir curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (d *fud ij7 0fmj-b.jw/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 0.7506nzw4 j s68) pzcbu3ix-m string, is whirled around in a smooth level table. If the maximum tension that the string can wupci b68zw3nz)x4sj6 ithstand is 250 N, then what 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 cm rolls without:z vqzqejn (817.bmdwn q x2w6 slipping 10 m down a lane at 6 : n(2wqzm.jd8 wn7be1xq qzv4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angular acceleration 9p4s;je r+z jbvg9ju9 xb;/efof $4.5 rad/s^2$. 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 dwgada4 5 0lj(with 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 autom,y8p0ug ;heskobile tire rotate after starting from rh08g;p ky,u esest 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, aolnomm1* c5gamnedg4+n(y ((nd 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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55#

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

A Ferris wheel rotating at 20 rad/s decelerates with a constant angu-6+y.ufg2+o7m zcvm :nrivv dowt. 3u lar acceleration of 3umuz:gdy+ f2-.v. c 6+i n7rvm vtowo$-5.0 \; rad/s^2$. 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 restzrk +3 *eewt,t and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutionsett e+ *w3z,kr. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to (cfgwr::b4wp rest over a distance of 115 m. What is the total number of revolutions the wheel rotates inc wb 4p(gw:r:f 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 msaw(l/apl ) /w/s to rest over a distance of 115 m. What is the angular accealwa(/s )/ plwleration?

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 6w. d(4bgbcsf4n msa4 -8.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. sm4(.ds bw -gcanb4f 4How 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 rotational ec hr6j/r x od(z38-tl7- odiyspeed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angterzdx (l rco7-8 h-oj/y di36ular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torque oqp px5*5gy9, hq6v ntxf 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the forx*yh5n9, 6xvpt5p qgqce 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 o8e5sv/ puj (suf 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 o-6q dw6zqtd1k +8w kmapf(g+drigin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about da p1+ 8qg-fdk+qz6wkd 6w t(mthe 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 pivotel 82qayh qm1; xq:bz+nd 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 arou:xhq2 + n8b1ql ayz;qmnd another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

A. $1.0 \; rad/s^2$

B. $0.60 \; rad/s^2$

C. $0.40 \; rad/s^2$

D. $0.80 \; rad/s^2$

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65#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless ag8 hm6k+8gavp xis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m g pvma 6+ghk88exerts 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 in5rdt xo:k z6)h the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is releasexo6:) hrkzd5t d? (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 radiusag 8lh.0j5pih3y zv6 y 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linl6 ayh8hpzgi.3vyj50ear 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 a1j: ;zpavy*w w frictionless disk pulley of mass 7.07 kg ana ww*zj:p1y;vd 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 rope wrapi v4a,gp)w phqabcq8x1le ;/,ped around a frictionless disk pulley of mass 7.07 kg and radius 661x,lg ;iac8p/wvep) q aqb4,h.0 cm. 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 energj*c; m;r.ab hoy. 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 ine1(ux1v1sag4risyg3 jrtia 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 azcy9 j)i7zj5 ynd rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches z5yi) 7jcyzj9the 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/s. mqbqko 8otj 90o/jwcm 9zu,03How high up an inclined plmq9j3zqb k m/tj00o ,ow uo9c8ane 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 is8t:: f 5jicg6ow*u(hcr bel upra u +8e*ox9.k released from rest and allowed to roll down an inclined plane. How fac8:a(luog*:p rj u.+h95*fe6w erb8uck toi xst 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 radg;w7jwkdxw/rf jt, +2 ius 15 cm rolls without slipping down a 35e idg+/ 2tw;f w jjkr,7wxncline that is 7.0 m long. Assume 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 mom1 :ggzv7v nd7gvyaf+z/g1(6wjlw 7 jfvc: 3jaentum 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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Mark Problem

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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Mark Problem

78#

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An ice skater has a momentbbz8yqs5s8 j38q(dhu 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 arms extended has a moment of 9)i knff,ehh.inertia oiefn.hfhk) 9 ,f
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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教师可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力

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