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

1#

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Angular displacement is usus b/jsa.hs -ap+:enoub s(4 x9s 6jlf2ally express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed 9*gfr - h7loy7us3h w(ntwe3sin 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;dkx p .a5ya5b is expressed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which -o4 c3povj) +ffj+sadis turning at a constant rate. The boy is near the outer edge,c j4favos)3dp f+- o+j and the girl 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 riding on a merry-go-r8rii8i dt( z0round which is turning at a constant rate. The boy is near the outer edge, ai 88i( rtzdri0nd 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- l h7;xk*vlj-rround which is turning at a constant ratelh-vr*7 lkjx;. 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 merry5k4 .ixapbp.m4r h r86x re-rb-go-round which is turning at a constant rate. Theprpx46b. 8i5ebak rx4rhr m.- boy is near 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 r5fwo e lusu(aq4tg5/c..p+ udiding a merry-go-round which is turning at a constant rate. The boy is near the outer edgeg u(aup5.e q /u.5+lsfodwt c4, while the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid bodb;nw;ul4xny/vl uyjm c c96/zwmm,+5y that is rotating. Which of the following is an accurate statemen yvn5u/;y ml;lxw ,zw/6j9+b4cmc mnut?

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 slippingpet j.2uy0ia9 :s.jau depends on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The first force is applied afi1 r;qbp hl1a 4z;-hnt 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 greater tpl1;;nzhib-h 4r 1qfaorque?

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 difi8xya5yyex 5 )7j6foorknob. The first force is applied perpendicular to the doorye57a6 f)8xi ijfyxy 5; 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 door. The f /nkr9 8m1 .c)a*,vo4lkl3xikydye kpirst force is twice as)nck*1 l k,/ ykom3 x.alepy8d r49vki 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 objlh njptjx40 ; ,e)9fqiect's resistance to changes in rotationpl0, jt4je i nf;h9xq)?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solig:3 /re(+4 u uodmpkjqd spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inert (gjmdeu4 rp/k:u 3qo+ia 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 onfrwawj(;2,.xz ;46hlxs vgoy e has twice the radius of the other. The r zr yfhw;vs.6l,j2(xxwga 4 o;atio of the larger 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 and tt 10hkfb 2,k2has1tmtwice the diameter of the other. The ratio of the larger moment of inertia to that of the b 2fhhk021k1 atms t,tsmaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If thip m*p/ ji*p1gese are increased to 2M and 3R, what happens to the sphere's mo igimpj/p*p1* ment 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,, x+ ab4c2bz4de k4 ygwhqt10b 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 ae avm9 ex h)mo- r yz,ji;v954 zk7k1rb1-lgfabout its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translati,re1kvk-zgvj7fal-e4);1i y b5z9 h mmrax9o onal 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, on d9cc2oty:kh6iy jz 8xb+eo+:e wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energyhic8jb od2ty: 6o:e+9kzxc y+ 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 i53umpvh0(lk75pawc oxc7dq 3vvc(uej r (44xnclined plane 7ccm5kqu(43 hw4r0v7 vuo ( a cpxxvl3ed5 (jpstarting from rest. The linear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolcj )ikmr pl0gvi4o) (,q w45trls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline m(r))v4gio4l trjkwqp c 5,i0depends 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 * mt7whn0ew4 jo06kew changes when a net external force acts on the system." This e nmo4e60wwh *tk0 7jwstatement 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 ssku6-a*potddly2cy, p2 36dsystem of particles change without any change in the system's angular mome6d2slptu y,2-syc ap d*6okd3 ntum?

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 orbitks1os,vl3noc3n3 z2 (0 e/c: uyevcso. Ignore any friction which may be present. What happens over cckvo1nn y(ev0oo c s:3/se3,ul 23zstime 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 ellip i:4 an/efvbrjz(3a; tdl9f .jtical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth about the Sav/:rjbnad (jf i9l .4ef;z3 tun?

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 spiy9 s,vrnj.ty:8wfi-.ip 9o ztn) by pulling in his outstretched arms close to his body. What happens to v-:r. ,tjzosti w 9iy9.pfyn8his 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#

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

An ice skater performs a pirouette (a fast spin) by pulling in his oubxqb (1 3:jx(h -iodsbtstretched arms close to his body. What happens to his rotati3( ob -(sbi1 xjhqd:bxonal 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 h8g.6gm r; 1kx*kffz6:1zehmey umi 6 pirouette (a fast spin) by pulling in his outstretched arms close to his body. What hap:6g*zhufh;e myikr6me 1zmg6kf 1.8xpens to his moment of inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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State the law of conservation of angular momentuym7v:20n/ki cajr*h qm.

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 5wbvy d0bb ku)5lkj:rc 8vy57circular orbit ab0rly)jdv 5 cuvwy5bk5: 8b7k bout the Sun with a radius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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The second hand of a clock has a length of 0.30 m. What distance does d snlmq q5bjn59 x:2h.the tip of the second hand sweep through in 3sxjnqn.d bhq9 5l5m:2 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per bh2nh*c6 1ip,g pvlz-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. kq y2n( ;osej.(*tid bWhat is the frequency of the whe;knsq(o *( it.ej2yd bel'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 pub6s:r n9 awxnikj9 u7)jg/ fi)lses at a frequency of 0.40 kHz. The /rn) bg96wj u9f 7isk jaxn):iperiod of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle don r8dp l muq4)wwel2l*/pff9,es it turn in 0.20 )p/9fpl8r fwwm e uq dn4*ll2,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 kl rt kv,fi3;4turns at 1500 rpm. How far will a point on the outer rim move in 2;4ktkrv3,l f i.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 2tx6j .cyxygx) s1h z-mo.dl 056 +fzne.0 revolutions in 4.0 s. What is the average angular spe0h5l6 smoyxd+ -cegx..zx t1j)n6y fzed 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 revolutions in 4.0 s. What is th39sdt l cbl3l99x7w8mexv, wo e line,lx7e83 9vwxl ol39td sc wbm9ar speed 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#

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A cable car at a ski resort carries skiers a distance of 6pyf(h+f(vsw yzc:n6t;tch1 / zu).d q.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no pfy) dzh wnfqzy cu. +;c6st(vht/:1(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 dcuv2hwst(n5z * ; 6icwith a constant angular speed of 2.0 rad/s. What is the linear speed of a point 6uw(5c;nh csv2i*dzton 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 cuu v(;jj2qva p9w uu;t uw e:0.zn2o7totter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is thwtujoq9 pjz(w.n72vtua2e;vu:0 u ;oe 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#

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A wheel of radius 1.0 m is8 1k ,rue7zlpo rotating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of ez,71lur pok8 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 of a point u)jza9od 4 ew9on the perimeter of a bicycle wheel of dia9o)ajzd ewu94meter 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#

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How many revolutions per minute (rpm) must a circular, rotatingi-cl3)sqegk/u kp-c t l9o1;j space station (r = 1000 m) rotate to produce an akli-/; t g3qo9-1suke cpcl j)rtificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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A car is negotiating a flat circular curve of radius 50 m with a speed of j 7nhr424a d7x h h4c gl26zfttju)2kc20 m/s. The maximum centripetal force (2czrj64hd2h4t a tx77 ufnj)g24 ckhl provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a speed ofnnpw,c73,o/n ryfh(rna/h a-a bwc,: 20 m/s. The maximum centripetal force (provided by static frict c3h ynnwbrap, (n7-,rna/,co ha: wf/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#

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A 0.300-kg mass, atta-b2 9olre qrg+w07l jzched to the end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is n eb9r7rj 2lwgoz0ql+- ot 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 withoutx.+htb)f d3lnmq ctqi 62j.j5 slipping 10 m down anh td 3j6 +cm xiq)5l2.fb.qtj lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant ay0hi 6 2sybh;zngular 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 coy f5vw7ykx7un76 o1(m+b lheinstant 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 rotate o sr9:r 2xs.xcotmc9(after starting from rest and accelx9r ccs st .xo92mo:r(erating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an angular mw5/ p2 n:jvkqacceleration 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 sn2 7;q xg)b1sq2hr wtwith a constant angular accelerationn221 tqsqwr hx)s b;7g 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#

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A wheel starts from rest and reaches an angular speed of 6.0 rad/s9ktv i5wnn3s5 while turning through 2.0 revolutions. v9nwk 5i35 stn 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#

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A wheel of diameter of 68.0 cm zex z1:yr- (c krx,b-zslows down uniformly from 8.40 m/s to rest over a distance of 115 mc-,r1( z-k: yrzxzbex. 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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58#

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

A wheel of diameter of 68.0 cm slows down 4(5p :ot chcldrs: *couniformly from 8.40 m/s to rest over a distance of 115 m. What is the ro 5l( p:4dtch:scoc*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 cm slows down uniformly from 8.40 m/sg5 smdnd ms7*m6 pn02 e6k y3m-f)pozk to rest over a distance of0 )dpkm2nmgd5n6-ss m z 6k*o3fmpye 7 115 m. How 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 rotatipiyt5c.. fwbzb y :(+ional speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before coming to r: izybpif . y+.bc(wt5est.
(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)a0r x7s9s0 +e hp vkn qq5-zski;t5qg to a torque of 90 Nm. If a 30 cm long wrench is used, what is+)vtq0h5790k -q ;5esxriganpzq ssk 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 inertiav/ (v imhvn1-9prw,kyrg *)zq $3.00 kgm^{2}$ 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 modeledd8 r6jzqc,a;j z zg2x9 as follows: mass m is at the origin, mass 2m is at x ,286 zgcj ja9qd;zzrx= 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#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis u2b qthf07+x7 1vkbalthought 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 accelerak77bqufba02 thxv 1l +tion 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 axis tc1g7j- al omni0+: c7 ezx,p-mcsba a/a 8:sjkhought 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 rotaz,-78+:a 0clgb 1a/c7-n kcpam:oseax sjjmite 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 isw yke,p jef0lsni)y *n ,f07e9 initially held in the horizontal position, and then released as the free end is )e*7ys9en,0i pyw lk ,jfefn0allowed to fall. What is the angular 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 ring of radius 30 cm and maqkk)e 3 e5k6( c0jv e/.nno2hniwl ;wfss 1.5 kg. Neglect the mass of the axql venonh6 jk) ;fc(w 305.knew/2ki ele and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on auy mko:fi+; +a,ai* oo rope wrapped around a frictionless disk pulley of mass 7u+a:am +y;,i*oifo ko.07 kg and radius 66.0 cm. What is the angular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of otwbf8gx5 w :9mass 7.07 kg and radius 66.0 cm. What is the actww8:x g bf9o5celeration 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 usm,v**x5 q c *co2bmoqsed to store energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inertia w:req1nw zewi 1m +g(-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 andu 2pa6z zczqs3r.v6 2l radius 0.010 m starts 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 the inclined plane?sz2p3lq 62zz 6u.rvca

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 sf 1./ szqx 7osoogu7eah/it74peed of 10 m/s. How high up an inclined plane can it climb before comingo4oz 1ueq.ag/tf oi7/ s7hxs7 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 rejvb* ni kbr(q59+sv;kleased from rest and allowed to roll*(5kbbr i9vq jsk nv;+ down an inclined plane. How fast 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 ane mbzznn;c +(vpd+j-/d radius 15 cm rolls without slipping down a 35e incline that i;+ men(/d+bnc-jpzv z s 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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76#

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

An object's angular momentum changes by 2 )5sml9fendzia c+r, $20 \; kgm^{2}/s$ 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#

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

An ice skater has a momentp(zu) ;.r 9 hawk;udmgvinw/s-k/h9p 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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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 iner9ds o(tv elqan)6wx5/l0 - nrc )0coqhtia of)x0oq5tvdac9-o lc)nhn srw0/ q(el 6
$2.25 \; kgm^{2}$. 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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