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

1#

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Angular displacement is usually express in uniw*gua.lw-n wo+km ek;z/8*wm3ld 4be ts of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in units0i58vbl i lz-w of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed in uwgp38n xf44ddnits 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 mers igxc.,ms2sr)ax5-ury-go-round which is turning at a constant rate. The boy is near the outer edge, and the gix -x ss.25 uim,asgcr)rl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are ri(xzxa3 xnkj4r7p 6i**r8p j9fujva (q ding on a merry-go-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 aaz(n*8v ar3 p kxip x6jjfu947rj*x(qngular 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 t/ laobv:l m0c 4mk:hip2cn yb4)m77bfurning at a constant rate. The boy is near the outer edge, and the girl is closer to the centmfib:pa4l7)ckyv704 /2bnm:lhc omber. 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 wq fs124 /o7dfnqcbza1hich is turning at a constant rate. The boy is near the outer edge, while the girl is c4 1 qzsfc1d7b2qoa/fnloser 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 ridingxj.a05e djg p p4/kz1t a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential p. j0xjk/4dg5e pzt1aacceleration?

A. the boy

B. the girl

C. Both have the same non-zero tangential acceleration.

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of thq4*. kskr - kyhz*xw f mlr:b8(r+9gnge following is an accurate statemxr z9gk8 f* h(mr4k .wq +ylsgk:-bnr*ent?

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 dependt+(w5n o l8av r5jtofzm(t /s9s 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;p oj *1pyrwtgm:zofn(n7u s*e g)8.g door. The first force is applied at the midpoint of the door; the second force is applied at the doorg8j n:w(.os **; ftep nu)ozrpm1g7ygknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The fnd-dqt2 u,kx0irst force is applied perpendicular to the door; the second force is appldux t,0knd- 2qied 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, per6v.le8p y; ianr+k9ivw p0:qdpendicular to the door. The first force is twice as large as the second force. The ratio of 9 ai:evr8q; pk . n06y+viwdplthe 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 r toy 5jp*0j6lb omak;/esistance to changes in rotation?ot56*kal bmo yp/j0;j

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solidp7 dr7v6 v qegnyh;iiqk, +6(u3pxlt1 spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of ine(i ivt+kevppn31;rq6 ,l7xh y6 u gd7qrtia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one habnzz 5d2 if60es twice the radius of the other. The ratio of the larger spzei 602zdn5fb here'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 hy /m,wsrzk959 u yg/y3vbzc. uas twice the mass and twice the diameter of the other. The ratio of the larger mg93 , mbrv /z.ys5/z9 wcyukyuoment 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 s vrze-yayn2g.2s - w8radius R. If these are increased to 2M and 3R, whavaysw82-s rz2 g .ne-yt happens to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, that objectgx+gt:x. 84vxpbp8 q6gci oc*31xri r 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 axbczkcjm r2- n52htl8 2is is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its tran mn8 jt52rkcc2h l-b2zslational 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 motorcycl jsia.88s h3:xr ltaj82pn+cie of mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. Whahla.jrj3stix +2 sc8:8pa8 int is the 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 down an in+p03 xyloq., yez uweo4oj k.8clined plane starting from reste o,z 3jooy8k4w.p.leqy0u+x . 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 slipping down 6 516ltx4mwnk5srg hhan inclined pmsh hr61nw65 ltg54xklane starting 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 momexo (w:v,d5 i)fuyveq 5ntum of a system of particles changes when a net external force uvwde yqf5i v)ox,( 5:acts on 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 can the angular velocity of systemv :h24hw ny 7qu:jz*yf of particles change without a 2wuqv7n:4hf*z y: jyhny 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 orbit. Ignore any friction which ma0b5 x/qe6j ucbwbddf+wpf -..*0jp vqy be present. What happens over time to the Earth's angular momentum aboutd q*edjpfbbw/p0x.0wvu j-6 . cfb5q+ 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 tw 4u wid-ye4 c rfh3bi*v0;qyu e;0yr4he Sun in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbit4q4iyi 4cr 0rb wuyeehd 0u*;;y-f3wving speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by pulling in hiscbad u :dm/jea -(b2u9 outstretched arms close to his body. What happens to his angu u /:2umb c-(add9jbaelar 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 pirouette (a fast spin) by pulling in his out)h-srr(eh(rx 04hunz stretched arms close to his body. nzr(4surrehh0)(h- x 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#

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An ice skater performs a pirouette (a fast spin) by pucot- t9 )wjy.flling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rotatiy w 9toft.-jc)on?

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 angular momentuay41iur* q5vj m.

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 period in its nearly 535,*y ;zy :c+vl ,( ygfe.wpm;jm jx iezixqpcircular orbit about the Sun with a radip+fy( wzglz vx3 qe,i.e*x;:m5py ; i ,c5ymjjus 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 hw0x ksq1yy,c7s7c* hwqnr8tkh 0;n.0.30 m. What distance does the tip of the second hand sweep through in 3 minu nx8nwwt0h rs 1q;7yk,s.qy*0c7hchktes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions zf9ntfkzo +vfo0:-8n 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 tl*1ul d 20iamu:yllkh : t52 fxyw.gr.hrough 2.0 revolutions in 4.0 s. What is the frequency .uhim k 2:2l:l 0guyal.dr flty1*wx5of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0.40 kHz. t-b:0i x(dgfx The period x b0td:fg (-xiof 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 3jtt6l/w )gl khxtd/*45 rpm. Through what angle does it turn in 0.20 j)tkdx/tw lgth6/ 3*l s?

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 1500zfn8 9yyf ,w0x rpm. How far will a point on the outer rim move in 2.1fx9y ,z0 n8ywf 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(owlw.sn ;ck; d ,-kwr through 2.0 revolutions in 4.0 s. What is the averckolr(w ;-dw , swkn;.age 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 2.0 rerz a:+a nnifi: f52k2eib,p-1qsrhx , volutions in 4.0 s. What is the linear speed of a point 0.10 m from the center of the wh f za,: -r:fi22nhq5nkbp as, +1rixeieel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski reso+ 2v qkmag7u:yk -n(rlrt carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate fok +v:yn2 gaku(q7rm-l r 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.dmn *:jjya5:d 0 m is rotating with a constant angular speed of 2.0 rad/s. jyn :: jdm5da* What is the linear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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The cutting cord on a gas-powered weed cutter is 0.16 m in length. If the mot mpi .l o 94;zs3vnwosgj-xvv9 2bs1)cor rotates at the rate of 20 rev/s, what is the approximate linear speed of zm3n wps9i9o 2j.b ;-x1gslv) v4cvsothe 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#

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A wheel of radius 1.0 m is rotating wi 0mi-f qmlm3s k56sgb:th a constant angular speed of 2.0 rad/s. What is the centripetami6l5k3fgqs- sb0mm:l acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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What is the centripetal acceleration of a point on the py 1s5hjnex)l. erimeter of a bicycle wheel of d1yn l5xhej ).siameter 70.0 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 minu5:wd k uq9cwz 1:oqs7qte (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an artiswwq:qd7qc1o:z 5u9 k ficial 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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Mark Problem

47#

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

A car is negotiating a flat circular curve of radiwfx1n 8kac0 3tus 50 m with a speed of 20 m/s. The maximum centripetalc1x aw0k8tn3f force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radius ii;b -4pi.eon1za *sfn 2i5bp50 m with a speed of 20 m/s. The maximum centripetal force (provided by stat5nizb.-pi eba1s;p42*in io fic friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

A. $0.50 \times 10^{3} \; kg$

B. $1.0 \times 10^{3} \; kg$

C. $1.5 \times 10^{3} \; kg$

D. $2.0 \times 10^{3} \; kg$

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49#

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A 0.300-kg mass, attached to the end of a 0.750-m strinzcvaks, r+ t u:gg+84zr6b.uzg, is whirled around in a smooth level table. r6 s.ba: uz,ruk8+vg t+4zgzc If the maximum tension that 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#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipping 10 m doeti.q rz7y:9own a lane at 4.3 my oz9: iqrt.7e/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 constan7q8. wd; aqt8*jidqv ot 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 constmih3+oed8aqckd*n757 *x :m *rs mxjvant 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#

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How many radians does a 0.300-m radius automobile tire rotatepalml gnetjz3p,66 :1 after starting from rest and accelerating at a constant angular 6 l jgz e,tpmnla316:pacceleration 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 reh:gmwkv74m ceal01 u .st, and 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 ra 9lk;-p6bngry d/s decelerates with a constant angular accelera l grb-p6ykn;9tion 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 angular sp)aij;dkpt):nrq3v. d hm :pk: eed of 6.0 rad/s while turning through 2.0 revolutions. What is the avei: mp) krd n:dt:vaj.)pkq3h; rage 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 slow, :t3ml8npas a5lcuyx :ph; f(s down uniformly from 8.40 m/s to rest over a distt; ucl x3sam(5h:af: ,8np pylance of 115 m. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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Mark Problem

58#

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

A wheel of diameter of 68.0 cm slows do:r bsi u:w33e,d iekr1wn uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angursu:e k:dbi1ri 3ew3 ,lar 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 cm slows down uniformly from 8.40 m/s to rest 3fxth0/41 d uysj95jc el;y v)c vkqy8over a distance of 115 m. How long dov53ld u;yjtc04qe jc 8y9hxks/1vf)y es 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#

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A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rev/ )t mfqbc.n7+nmim.+n q7bfctn) n. When switched 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. 4is x/lgb44kq If a 30 cm long wrench is used,isx b/k4l 44gq 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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Mark Problem

62#

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

A wheel with moment of inertia pd1s+ getlt-2nq( 7hr $3.00 kgm^{2}$ 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#

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A triatomic molecule is modeled as follows: mass m is at the oagq* rn+9 g; d3v4ngx a4avf0brigin, mass 2m is at rxangngqa9v4adg 0f;*b v4 +3 x = a, and, mass 3m 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#

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A solid cylinder of mass do71asig7c: ez 3qkj3 whncd./sdml6 /q2 w.r10 kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleratio3e3:a7w 2m sk7hzjdc ./.d cngw1o6s/qrl diqn 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 cvoiw)vgwwvz:t jzj2/w, 749 a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around 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 rz jv wcv/wgo i)9j,w27: zwvt4est?

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 init,g d,l4fa+9zoqepe c.itmm4k(u 4l 6eially held in the horizontal position, and then released as the free end is allowed to fall. What is the angkd+im ( ,alzm,.6e9o fet44l 4uceqpgular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

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

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

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

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

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67#

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

Consider a bicycle wheel to be a dfg z 98b7qn) od5boh6ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprockdbg8 bdn75q 6foho 9)zet. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictioe h5mt8/ :foydr yw:9jxp3g:q nless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular accelerati3 emytdxo:p r5 9 h:w:jqf8/gyon of the pulley?

A. $4.49 \; rad/s^2$

B. $7.98 \; rad/s^2$

C. $9.87 \; rad/s^2$

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of :),dxg kp9,:sk2 sf p4fytnwqmass 7pp2fntxkgs4, kw)q:fsd 9 ,y: .07 kg and radius 66.0 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 energy. If it is requiredtqsg.j v/ .mj:e+b1y * cymac; 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 inertia o* vw-i/h4f c:uphzt id*mv)0kf $5.00 \; kgm^{2}$ 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 and rolls with 9 (j:4pitgsigout slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the tig 9g (p4j:siinclined 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#

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A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a ms7- wyp,(xrh0eap /qa/ cij)speed of 10 m/s. How high up an inclined plane can it climb before coming7rj//x( ym0ep- )a ihw,cp sqa to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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A hoop of radius 0.50 m and a massx:bgtiw 1o.vp y/0dp)f8rs,j of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertptis g0x8), w/p fr y1d.bvj:oical 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#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without s ql+srofur* +3c-a e.ycm8vi 7lipping down a 35e incline that is 7.0 m - *ov lmisc3rq78f+yar+uec. 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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76#

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An object's angular momentum changes by yxgg-.px dv66;daa3 +f *xeot$20 \; kgm^{2}/s$ 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#

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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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78#

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An ice skater has a moment of iner*fup 42xpxiz;tia 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 mo nq:-n shr+fyid 05vcb(sa8*sment of inertia oqn *hay8sn+ db:i0ssf c-5 r(vf
$2.25 \; kgm^{2}$. 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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