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

1#

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Angular displacement is usually express/- fw3 *. frp+scw0d7;qlzhanx*nbla in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in ueet+gtm 3 m( /bzz*kciu7 +-zgnits 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 expressi uw hetwe2:3a)yty:*. h)bw z-3kw yted 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-6 k1 (/gopj5imli+1w4x5ww: h qfwo mego-round 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 angular displa5xpwi egh1jok +f4ww( /: m 1m6i5wloqcement?

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 ty:5dp xttp (l4gk/5v7w.0 0axx yno egurning at a constant rate. The boy is near the ou 0 w p4 geky5.(/7txv0:5ypagtolnxxdter 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 turning at a consta-ojk0kw1ylu a9h(.s ent rate. The boy is near the outer edge, and the girl is closer to the ceyk1h ( jesk0lu-.9oawnter. 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 4+ivtl .ad91ew hk-lv riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has tl-lv hv .dkwite+ 91a4he 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-rouv)5boy owm: yj0;nvh2nd which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangenjo) vv :b;wy2 my5ohn0tial 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. , lrsf xdtk(bl/r/v/ 6kw/7ki Which of the following is an accurate statedt klrxrl//i(b/k6 7vs,f/kw ment?

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

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

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

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

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10#

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Rolling without slipping dep1zvoy7xd pgovl; 2,u1 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 first force p + w8h/k ddah3hk:(cqis applied at the midpoint of the door; the second force is qk/khh(d3h :w+d a8pc applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at th*gv0 lj 6 o n9aw38fghuys8qa0e doorknob. The first force is applied u 80ghwn 0a 86jva gs*3oyqf9lperpendicular to the door; the second 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 doorknob, perpendicular to the doods(z7,j jn0adc,,t(/q li vdhr. The first force is nvdt/lsj , (dj,7 qia,0(czdhtwice as large as the second force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistance to changes in rotatiher, qi iy.1z:oniqy:,. rihz1 e?

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, rhjdn8 j)-k 9j(w, o*qkla9rqbut one has t )hqlrw (9rk ,daj*nj98j k-qowice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass,0+ iw 2+d6:tetpfjowu but one has twice the radius of the other. The ratio of the large :w+ttjpw62 iuf0 +doer sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass anebk *w*gnj mro9qw4r;:2l r1x ,m wd7vd twice the diametb:;qml9 rkmxw* n124,*rw ogjwver 7d er 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 increased to tj,;/xy mai8t2M and 3R, what happens to the sphere's moment of inertia about a centi ;,m8xy taj/tral 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 obvv((gkbf/- * fehg;p 9xd7dgsject, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis is q3 +: +ow8oa5nvgju )mlgfj+agiven by 0.5 MR2. If this cylinder rolls without slipping, the ratio of it3+ afvj)+8gal5 uown+j:gm qos 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 b*6x1dirv+hudp -y( mmass of 10 kg and a radius of 30 cm. What is the ratio of the rotational d m(phy v*16id-rub+xkinetic 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 sphe7 7v ifcpj8 /*p+tjinqre of mass M and radius R rolls without slipping down an inclined plane starting frqp/pj8j+fic v 7 7itn*om 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#

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

Suppose a solid sphers7mc) 4lidd 4ke of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angularsd7ki )mcl d44 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 externf*b( oltcbk.,al force acts on the s .(f bl,ctok*bystem." 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 velocc-; r)bee y+ lgkuzs5*v/a ta*ity of system of particles change withoutkst/ev5-lr z *e)+abgucy ;a* any change in the system's angular momentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun in an elliptical dgtnkru;1 8 )bg gb g,m4yjzbqz6; e*4orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentum about the Sdm ;bt8 6) bg4yq1zjgz rb*k,gnu4eg; un?

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 ellipvym: ;5k6uzi,w5s yhmtical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of theh5km 6, 5ym:iysu wvz; 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 pirouett1e 8o7pbdm60+vmk ys be (a fast spin) by pulling in his outstretched arms close to his body. Whs7e8+ydbp6m1k bmo 0vat happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a p2rd4lp b u bxm1z-jc64irouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of rota4-mbb cz2 l6rupx1 4djtion?

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 lyz:: aql-o6gwus0zc 5o)auvk b7-w,his outstretched arms close to his body. What happens to his moment of inertia about the axis7-scb owlkw: 5a z-u,06ogualy): z qv 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 conservatit(bk.+:ua v c,hy4p6gm xg ,uhbg)w6ton of angular 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 Earth travel in atcq7 5i ut9mp3 three month period in its nearly circular orbit about the Sun with a radius3i u7cqpmt9t5 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 lenm s:wrdhn5fc*j6 t9 z*gth of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes and 45 s*9dzt6h:fs 5w jmc nr*econds?

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 6w zflr;kmj0 m.64m9jqb7xcub 57fwcrevolutions per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. Wh3w z41i 3wmhmsat is the fre3whm s34z1mwiquency of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a fref6x sr u1o7xg5quency of 0.40 kHz. The period of itruox1f57 g6s xs 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 turn i*ql kidzf:y6f5 d3*k 7ki,k.hnd,zlvn 0.20 d dv5l:f kyk* 6zz .niik,d73f,k* qhls?

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 g( 4,vvgs2ek/ *vs rhzlq9, wwturns at 1500 rpm. How far will a point on the outer rim movew2 ,4zs,wq lh9/g vks(ve*rvg in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly throug899eg6loq+ yzlwzb x28-e imus,zhw5h 2.0 revolutions in 4.0 s. What is the average angular speed of the wheelzz,l+zwe9hb9 2o-5ls6qeig8 x8m yuw?

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 2.0 revolutions in ;jeap1sl ap.3m:0kr fqitl (;4.0 s. What is the linear spe(rl ea ;1lmkp.j:i3t0asqp;fed of a point 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#

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

A cable car at a ski resort carries skiers a dist/g 8 c ,h6lw2ape7yqhbance of 6.8 km. The cable which moves the car is driven by a puwbl8h/ 27 hya,6cg qeplley 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. s/7hlrla *7yn0 m is rotating with a constant angular speed of 2.0 rad/s. What is the linlyh/sr77n * alear 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#

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

The cutting cord on a gas-powered weed cutter is 0.16 m i1i;eq r(; vr/v , a6jquq+mehyn length. If the motor ;(1heqiq uq+6mvr;ay jrve ,/rotates at the rate of 20 rev/s, what 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 2;uxsmmwc2s+a w t8)y a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheel's rim u8m m2cyx2+;wwssat)?

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 of a point on the pa0 p f qg*63brjj3yrz5erimeter of a bicycle wheel of diameter r53b03*zj qgr ayj6fp70.0 cm when 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 ez/ u xwuo1l8)minute (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an artificial gravity olw8)ze/ 1uuox f $9.80 \; m/s^2$?

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 a spee1 9mb;k7bfd6 jaucl:kd of 20 m/s. The maximum centripetal force (provided by static friction) isj k6md9; c b7l1bu:kaf $1.2 \times 10^{4} \; N$. 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 circ k/g7-i zv:h(k-wd ozhzj 3 qk;,vioz0ular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static fricthv7g -k z0oi iw(3,j- ok;/hkzv qzdz:ion) 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#

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

A 0.300-kg mass, attached to the end of a 0.750-m string, is whirled aros /8 w 69,hbne uvhee(2 oi8i9 pkiq7vryp:c4nund in a smooth level table. If the maximum tension thcihebvn /y79 un 6p i ,pkhq94esw(82 rv:i8eoat the string can withstand 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 s-.igdo(- r) fvzf3nyy lipping 10 m down a lane at go--vf iryd y(n)f3z. 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 )6f3 08tod zmnyx +suea constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant angular accelevm; :aqx0 * fff9xeh5xration 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 auto g 2tf279thcw/t.dd armobile tire rotate after starting from rest and accelerating at a cod7 htgtc.f2rd/ a92tw nstant 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 angu: 0nb.(qfnzwy lar 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 aazzl1 vzp m;dxxaea0q35r727ngular acceleration za 7e0 m1ravzaz ;d52p73x qlxof $-5.0 \; rad/s^2$. 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 r+4urqq ypg3p-gog :: qeaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular ac4yogq3p+qqup:-r :ggceleration 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 uniformlyvyrgezrfi. 4 l:;9ss + from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions thrr9 z4f ;li:.yev s+sge 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 68i3e5a/vu0 xti .0 cm slows down uniformly from 8.40 m/s to rest over a diutv3ae/ ix5i 0stance of 115 m. 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 68.0, 8fenmg+ 4(eplsmp.kp x2bb 6+bui0 a 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 lfe8i+kgb62b0pu .mx ,ame( pp+4bsncome 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 rotationk muf:ldl wy81b): * :su+ nrflja96jbal speed of 3600 rev/min. When switchnfrbskfwl1) j bj6+ m:8:u9l :dl u*yaed off, 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 to a torque of 90 Nm. If a 30 cm loy+e jnhhdb c8)nd/v94ng wrench is usey +h4 j/d 8n9chvne)dbd, what is the magnitude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of inertia2 - ff dkynsaes*,:e5c $3.00 kgm^{2}$ 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 mok na*h4l8l ql2deled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3q84 ll*lnakh2m is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a fr*ifez 1-4wep ;d rw4llictionless 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 another section of radius R2 = 0.50 m exerts a force F2 wfl w1l4rie4 -d;e*zp= 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 fricti5qt7 xk2mz:ykonless axis thought the center O. A rope wrapped aroyq2x k :mtkz57und the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. The rod is initially held in the horizoko: 23tm(m tejntal position, and then released as the free end is allowed to fall. What is the angular acceleration3m:toke( jm t2 as it is released? (The moment of inertia of a rod about one end is ML2/3.)

A. $2.45 \; rad/s^2$

B. $3.68 \; rad/s^2$

C. $4.90 \; rad/s^2$

D. $6.75 \; rad/s^2$

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67#

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

Consider a bicycle wheel to be a rinzani56/uzi*)e j dq 3sg of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tan*jz 36 )iuz/sqdei5na gentially 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 a rope wrapped around a frictionlesaon i yc7p1e/,s disk pulley of mass 7.07 kg and radius 66.0 cm., 7ci/ape1o yn 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 wrapped kfe./s+n1wqr x 0mbcax 3:o 7iaround a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. Ww kmnq fr/3ce7+o :aibsx0.1xhat is the acceleration of the mass?

A. $9.26 \; m/s^2$

B. $2.96 \; m/s^2$

C. $6.29 \; m/s^2$

D. zero

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70#

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

A rotating flywheel can be used to store energy. If : l98g;-j -aox cedaccd(jkg/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 jrz 117;bd6vc rgy8xe7xca*yt3/,7bab wzyn inertia 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 start8cyvu fpz: 4-2*lglm hs from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of tlm cl *h-g4yu vfp8z:2he 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 witht;2dnla+z1u5 uh* rex a speed of 10 m/s. How u1u z5x*2edh;naltr+ high up an inclined plane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is relze i6brc5f2ty0 s**b1hd2mb0q k/um xeased from rest and allowed to roll down an inclined plane. How fasts*yfmrc0/q0i5m6keb t22d 1xuz bb h* 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 1.5o2c b-af1f2+y t2bjvc.gu 1 3 avbeuj9 kg and radius 15 cm rolls without slipping down a 35e inclite1 3auc2.bba+ ucb2 gof jyjv- 219fvne 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?

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Mark Problem

76#

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An object's angular momentum chlrk;mw).8mt( ghs8 dgqu n j4.anges 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 momentlk. 0ut odt5h+ 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#

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A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertt vw, yni rfc/ljc *3o,w4j/1eia ofj 4f*wit,e jr/y/1,o3nc wlvc
$2.25 \; kgm^{2}$. 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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