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

1#

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Angular displacement is usually eh,) (i / c5 2c0f bicf51 bhiiaotd8p7hpug1eoxpress in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is exp peb:3e0+nd zyressed in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressop949p 9 hlfkj.: q)bvs) yipxed 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 onv ;h,74fwxjus a merry-go-round which is turning at a constant rate. v;uf xsh ,j47wThe boy is near the outer edge, 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-round which is turni;5 nonggl,johd(t .(wbm t7 9tng at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the grt ;d.h7bwtj,omng 5og ( n9(lteater 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 p82(fj4top hd 1k8yck pptw61which is turning at a constant rate. The boy is near the outwcjkp8f 4p( 1pyht12k6t 8dpoer edge, and the girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is tur ufxi(kh2y6aklke5ay1ytn 2 );2 pm/sning at a constant rate. The boy is near the outer edge, while the girl i 5(h/ u2k2y et)61ykfaxkp am;l2 ynsis closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is turning at uiauik mmfai-i0p *0uj w -(3k0n7to */cbux; a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the grej*mim/xn-wiit0b p0 uf *c-7(3ki0 a;uuuakoater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the following :juc7 7x+hs:,ha mwzvis an accurate stat:a7sc+,h h7jzv:um w xement?

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

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

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

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

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10#

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Rolling without slipping depends .ygyp5w y 7 rr-,phe3wwfn05zon

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 appli *+ll8)+.uci ln;ip/g zqe ;)hrctjwmed to a door. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greateer) wc ;nhiq. *+)zpljt ; ll/mugc8+ir 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 doorsx gndj*/; )w c(1paxr at the doorknob. The first force is applied perpendicular to the door; the second force isg)(;p1xj/a n wrx ds*c 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 apl y l*wla/d5w02lcm8 doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque owal 0l*c8lm 5y wlpd/2f 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 resisqkxu.1cd gi.t8f -2 zrtance to changes in rotatidx uc-ktzqg f128.ir. on?

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 *y8l2e xu5iqd;p(q nik0 tnv8where both have the same diameter, but one has twice ;xii*(dvuqt2 ey8kq0pn l n85 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, but one has twice th; w: .o sx1 ilkxu4m24ks;advhe radius of the other. The ratio of the larger s1.ah4ok2slvsuxm ; :kdxiw;4phere'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 we(n kkxj2jx-u0+vfa5here one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller 5+kn (0j2 xv-ufaekjx moment of inertia is

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18#

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A uniform solid sphere has mass/rm z9kwkm 3/fc -mvm- M and radius R. If these are increased to 2M and 3R, what happens to the sphere's moment of inerti-m rmkm/wv zkf-cm 3/9a 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#

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

If a constant net torqsk;n *5xc vj,eue is applied to an object, 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 it,-pjxs gjw6m +8lc;cps axis is given by 0.5 MR2. If this cylinder rolls without slipping, the,w ljgxjm8-pc+p s 6;c ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 10 kg and2tm1r0yof1 y k a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bi t12kym0o1yrfke? 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 slipc .ry ,iw,b4i2tq 8rrsping down an inclined plane starting from rest. The line, icr2r .tqb4iy,sw8 rar 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 roua19a 0kgdz() hlbu)uhihzs8 l8+ k2 dlls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incl21h0azh )u d9u uk8)bk+glalsi8(zhd ine 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 syslm-p88d5gt x-(l ahxf:, q4xso3bqr stem of particles changes when a net external force acts on the system." T qq8rgt ho(s,:mpf5-4 a-xlxbxd3 s8lhis 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 angu xu8d4gj/.j bslar velocity of system of particles change without any change in the system's angular m8d4b /xusjj. gomentum?

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 aevcti7r ;p/wyxb r.6 (ny friction which may be present. What happens o /y xevpr6wit(b; .r7cver time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

D. It increases during some parts of the orbit, and decreases during others.

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27#

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The Earth moves about the Sun in an ellipticay;dh:y/f lr.n l orbit. As the Earth moves close to the Sun,yr. /lhdynf:; then which of the following best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstzkjgu7q) sv8,l x,d*g retched arms close to his body. What happens to his angular momentum about the axis of rotation?gxsv q kd,l8gj 7u,*)z

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 6gc. ybr3k-lpia/co*u (g kh1in his outstretched arms close to his body. Wh gr a-1.cikb *3(ouy6pg/klchat 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 pirouet9h;oo domk6y-w1mah5a p, gm+te (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of iw+h,m6ya5o ga91d kmh p;-moonertia 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 conserva/lg,aa2somror15 jt f841vixo/9 v+ ixthlc9 tion 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 a three mh;csjm*,xt ;qo l4)an xjhbqbe :b;3) onth period in its nearly circular orbit about the S *bj: ;)s,;qholqxxmh4)be b t;a3 jncun 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 ofp8w rct oo:8/ gjig2-x 0.30 m. What distance does the tip of t8 pco/2-tijggx :o8 wrhe second hand sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions pe u kk rjx8hed;bq.7)p6r 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. What is ther;n7 .iu+ xar xz.qs*l frequency of the wheel's+lx;snrax7r*u. z.q i 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 k83ah ofko8mwjo 73wh 9Hz. The period of its rotation is3j8 f8h moo ww79oa3hk

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 at0up2pgoz/gbsj n,,.o 45 rpm. Through what angle does it turn in 0.20 sg.2/0oo n z,g,p jbpus?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turns at 1500 rpm. How far wil ,,qnn4c kfvkn: zuj2 8g+oc3o 3wkue)l a point on the outer rim move ,n,z 8: 4vwon g2+)n3ujufk3ckqokcein 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. W visk7.u4 wby3hat is the ave wk.3vsi7bu4yrage 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 revolutions in 4.s --2lcl 0jfxbcii2o 50 s. What is the 0l5ioi -jc-lbs22 f xclinear 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 6.8 km. r vvea2xq9w4(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 for the cable car to make the tr(eqaw 9vxrv42 ip 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 mzixlg z3ks6g6/9-o av is rotating with a constant angular speed of 2.0 rad/s. What og/66as9vx izglkz -3is 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#

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

The cutting cord on a gas-powered weed cutter is0mw++nm fea:g/ 1f0 s1nk ovs/k wfm/r 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end of f +vges/ m n0ak+kfmw/r 0:1fm/onw s1the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2.0 :/+ki:zrmh nk rad/s. What is the centripetal acceleration of a point on the wheelmnh kik/:: zr+'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 pointi dd8:r0/ euvm3 fw7 .ktmb8mq on the perimeter of a bicycle wheel of diameter 7kqrm78buv0m3d 8:d tw/fmei . 0.0 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 minute (rpm) must a circular, rotatinw0z1g:68q rm/n -(movcmbs keg space station (r = 10w6soebm: 0gvn1qm8czk r -(m/ 00 m) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve o u1u,f/sg:m3 emiv;ly7hc4ts f radius 50 m with a speed of 20 m/s. T4h,37m:get u 1il y /;cfvmssuhe maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a speed of p7lle 17* hqn s)gxcf-bk y61u20 m/s. The maximp 7f7l lq)g6k*ce1xu 1h-s nybum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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

A 0.300-kg mass, attached to the end of a 0.750-m string1qx02h/nd +wk h,qe bo, is whirled around in a smooth level table. I+1xdn qo0,/2bkwh eq hf 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#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A bowling ball of mass 7.5 kg and radius 9.0 ii nrb0x-4 gqimee)(-he(gj pxp; *9tcm rolls without slipping 10 m down a lane aerxj0-m ) pe 9ixgq( (nip4i;geht*b-t 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 aj(+-(vs f0z jur2kat1k;x gfyw ul+i) 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 acceleratikx s7j/b r;y;l /jk.zeon 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/ bkao3pwi):j+r0 zie a 0.300-m radius automobile tire rotate after starting from rest and accelerating at a cons/e0w :ii+kjrz 3ba o)ptant 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 a n2zy, oe/;unmce4 ;jhbbk-:v n angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/iphad4 j f,;noatgjr*a(- 2q /s decelerates with a constant angular acceleration /at4rpaqf*ho,;n dj-i(2aj g 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 a :8fud:afqnumzrot.c gj5x7*dd09 *pngular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of the wheeu89t p jxng.:mqcd*d0 r5z:odaf*f u7l?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest over )t 2u xs .54oo/erue k6g0mwtaa distance of 115 m. What is the total number of revolutions the)0/5x wut e6 uaegtk.4r2osmo 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 cma q jw;o 5bp1fm*i75wtlzm.i2 slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the a5 o w;pfqi5m1z *t.a 2jl7ibmwngular 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 u1 lb iatwrc-6l.am+ jg(qu6w2,cli3 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it .rql+6t cu cl g3w ljawmau,i(-b16i2 take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem

A centrifuge in a medical laboratory rotates at a rotational +ev4x2nva p l.us(vi /tr8wsj/go( q2speed of 3600 rev/min. When switched off, it rotates 50.0 times at a consj4e i/rsvastg.w2 qo + (nlxvp/v 2(8utant 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 whe,o9 rlg7na,ftel require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is tt ,n7grf l9,aohe 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/y 46 3jplkiub inertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

A. $0.857 \; rad/s^2$

B. $1.17 \; rad/s^2$

C. $3.00 \; rad/s^2$

D. $3.50 \; rad/s^2$

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63#

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

A triatomic molecule is modeled as follows: mass m is at the origi iw(cs ,ys.)zb04(oit t yq;hin, mass 2m is at x = a, and, mass 3m is at ityq((c,z0tyi4wo;s)h.b i s 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 abo/t)x eq/yi ht:ut 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 forceq y tehixt/:/) F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg o:lr16zwhr6 o is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 mz6o hrl1w6o:r, 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 helcz0kkn2j 6vv31 o4om76 aohd/fii/pnd in the horizontal position, and then released as the free end is allowed to fall. Whanij nfa76 vzdk/32 ohc6v4 koopm1i /0t 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 tn0 z6yc uraz.)-zzkn927h bdco be a ring of radius 30 cm and mass 1.5 kg. Neglect the mkyzcu)2z 6 7nzha.nz bd9r0-cass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what 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 frictionless disk pulley2ra1q twdxq2 ( of mass 7.07 kg and radius 66.0 cxq1qtd r(w2a2m. 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 ajjd)k i ;0u hhn4i/ju;round a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration of the h)j uji/dn; j04ui;khmass?

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 required to storjq 3:ma:cg*ka e $1.00 \times 10^{6} \; J$ 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 tx,3gaa sgzl*h8ii*1of $5.00 \; kgm^{2}$ 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./zr8a es0)k/y tko:zf010 m starts from rest and rolls without slipping down a 1zte )kfa0 k8:rs //yoz.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and radius 0.010 m f;,fc5.ra b kqrolls with a speed of 10 m/s. How high up an inclined plane can it climb before coming rakf qbf.c5;,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 z2 z/gpv5os)5gw jk-tm and a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.05jo/ g2 )s5wkzztvgp- 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 witxhr2xd.cs(b2 +sxx0i l 6hxpnni,b *6 hout slipping down a 35e incline that is 7.0 m long.x s 0x +h6x62blhpcb r2x.(n*d,sixni 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 m i4o2ei/f8o f.mue*sp omentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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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 moment5jq 8ltks.8br9 vb3t; xcu- hg 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#

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A figure skater rotating at 5.00 rad/s with akk;c ubs*zgbyh+ n)2xdw y;7(rms extended has a moment of inertia of(bds wbn gz *xhc;u2;) 7yy+kk
$2.25 \; kgm^{2}$. 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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