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

1#

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Angular displacement is usually express in fdkc.xq; e; .;djxf 5punits of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is ej fu,hmf5wbw8/x bo.d)/ yt *jxpressed 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 e9s4os unog6 s/ )v:xtrxpressed 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-goqucrre,kqd*5 j:b:b* *g b(ix-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displagrq: :r*bjedkxui bq(*c* b5, cement?

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 mt f. bd+o9:zsserry-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 great:.+ss 9zdf tober angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which qc7i ryfoi6ke x)197ais turning at a constant rate. The boy is near the outer edge, and the girl is closer toi 6yeq1) ak7xfic9 r7o 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 xtz+zv*2 fl (2q)0wmq(sxa jt0w1nhv -round which is turning at a constant rate. The boy is nea(zxtw2sm*(2+0v vfqqja nl 0 z1t h)xwr the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is turning at a consta (jo4wg)d 4 f9wx1()1jeftckpbrk js (nt rate. The boy is near the outer edge, while the gt j( ( jg(cr f)ej9xkf1o) w4bkd4spw1irl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the following is an accuratebfnra5o0 c z1q 29+ln1by0zqg stat1 z2q015nza0c+lyo rbb9ngqfement?

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 depends3zkc.d7w) :3 i;yn*vqqez bte 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 apomj6/xws / s,jplied at the midpoint of the door; the secondxj/o6w s/m,sj force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at t) i(t/oq9 rbn0,nxq ndhe doorknob. The first force is applied perpe) bnin/x 0,oq rd(t9nqndicular to the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The fiv5 4ifl6yb 7btrst force is twice as large as the second force. The ratio of the torque of the first to the t47 lbby5tfi6vorque 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 meash/0z7kak * q+wt2v cnbure an object's resistance to changes in rotatiovw0qt*n/hbz2a+ck k7 n?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid sphe*(kop68 gp ,sltr po/g-t.letres where both have the same diameter, but one has twice the mass of the ot. ll*e pgk sop6r/t8g,(-tpother. 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 hip -itct4; e0-mlzrw2ave the same mass, but one has twice the radius of the other. The ratio of the larger spher0w;t- - iect2ipzrml4e'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 twice th;k0yf ,awfwzs0 yec 53e diameter of the other. The ratio of the la 0zwcs y5f,w ;eay0f3krger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radi6bkbikvc),j: 68g gr xon9o+cus R. If these are increased to 2M and 3R, what happens to the sphere's moment ofkj6)rv ncb98 oggx:6i+b,c o k 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 objeebb7c4l(jykk-woxto m21zz 5: qw):fct will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis vjsin.*6fg7zv yf9 ke5g7do2 is given by 0.5 MR2. If this cylinder rolls without slipping, th *26f5esijvyfvo.ggz7d 9 nk7 e 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 hasbvwn n:.bkf5v4x1 7.* yclbzauki5c1so(b8r a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic ener5*( .b7ocns5k.4la v1vu zi1x:nf wyk cb8rbbgy 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 rasebxhust /+y*xi 2bn.*52 ,ab vts (djdius R rolls without slipping down an incltbb*en,avsuijs+/s* . 522xx bydh( tined plane starting 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 rolls without sf,,s ;tea8n bdlj:r/k * mdy(tlipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the inc rtbj8mdyak /:f ,,dn;e (t*lsline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particle;s/7 zv 9 uoe zb(.tkxqdjwt)dkg+8*ds changes when a net external force ac;kq do .kxbs89edzt)/vg +t*uj (z7wdts 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 thee n;:// ,tiskafwrg.b angular velocity of system of particles change without any change in the system's angulartfia/,; :k/ .wbgsern 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. I(bph a /m.(gt93ws jpf9 qhkt(gnore any friction which may be present. What happens over time to the Earth's angular momentum ag/pf.q9bwms(h9a k(hj3( ttpbout the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the E 3xw)wnalgx+1(dlyr bnn l --2arth moves close to the Sun, then whlr+l1n-w3wl2g(- xn) xbyandich 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 pirouetter.7qn ln w8xuqk41l i8 (a fast spin) by pulling in his outstretched arms close to hi8 ln7l n rw1kq.xq8u4is body. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouette (a fast spin) by pulling in his outstret4eqa dxd2k70x g. hf4nched arms close to his b02fdx ea.4gq4d7khx nody. 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 pulling in hhkf+hv , u*1bris outstretched arms close to his body. What happens to his moment of ihrbuf, v*k1h+nertia 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)-3- 2pxicab djh9 pdt momentum.

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 k l22bp0pl; xz8x7eec period in its nearly circular orbit about the Sun with a radius of ez lpeclk 27x;x280b p$1.5 \times 10^{11} \; m$?

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 clcjrxd0l3 5ykq22/b dvock has a length of 0.30 m. What distance does the tip of the secondv xbkj50/l 2 d2y3crqd 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 per minute equivalent to?6rl-lla7 sau d1 hh qmuab23ly,-:c q+

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 it jih0y+zllysl 1.vy3 1pq3q*n 4.0 s. What is the fre3 l .y*1hsj3p lv1yytzq0+l iqquency of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at rhrnw,x*6:drc5b jn 6 pv+w 6ba frequency of 0.40 kHz. The period of its rotation ih5,xbn wwdbr6p* 6vr crn:j+ 6s

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. qnfbsh :2jk09Through what angle does it turn in 0.20 sqfh : 9k2bsn0j?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far will a point 1 s,+hnrti oon)uw4a+ k3dd0d.v;iu son the outer rim move in 2.1 s?)iv4 d uoask1nt3 r,nowush0+;id. +d

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly through 2.0 revolutions inx1ylrih)i j q9;sc3m 6wx9 1xc 4.0 s. What is the average angular speed of the wheel?j yhcr9sx96i1wm)lx3ix1;cq

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#

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A bicycle wheel rotates uniformly throuj6n-n exc(uc5 g:5dr ngh 2.0 revolutions in 4.0 s. What is the linear speed of a point 0jdncu: r5- 6g(x5e ncn.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 reu*lmvyo 19(x gabl y-yw65la4sort 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-9vo641 wxlyg ylb a5a*ym(u l, 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#

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A wheel of radius 1.0 m is rotatin)1 fgiwk.3-*obcoz cp6 y j8/haa .oxbg with a constant angular speed of 2.0 rad/s. Wkxc*6iba b-oz8.j1of. hpa/ 3c w)og yhat 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#

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

The cutting cord on a gas-powered weed cut:)* s4ac tpfm q7rbe:iter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximateciqp 7 mt): aber*f4:s linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular speede g1ff-ymfew +a: ee jc* r34y4*9gonw of 2.0 rad/s. What is the centripetal acceleration of 1goe3jye4+m c : *fg4nwfaey -9*r efwa 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 on the perimeter of a bicycle wfih 5 *y wn imtyd(:jjy3d2b0wq2d8e2 heel of diamete h0:wyi352(id 82qbjn fyyj wtm2ded*r 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 minute (rpm) must a circuf j g)6kc;ba3jlar, rotating space station (r = 1000 m) rotate to produce an artificial gravf3acb6k;jg j )ity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve of r 92wh/ds 9nno4ih ow0zadius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by ssio9z 9h/4own whn0d2 tatic 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 h 8gb9c;:i6g 2 2u opryitmu5zm with a speed of 20 m/s. The maximum centri:iugr;6h52 y2g oi9mzubt c 8ppetal 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#

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A 0.300-kg mass, attached to the end of a 0.750-m string, is whirled around iny /s rf+o-lhb/ 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 strinh/ysbrfo- /l+ g 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. 9-tm(s nyqp 2gqri(gze,:* gx0 cm rolls without slipping 10 m down a lane at 4.gzq9yr(ex ig-p,qmg2 st *(n: 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 angularau88wfz /ygeawrhe8s/ 8: re- 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 lu :skxs.ss(8 acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.30coy8r)r 8a-;kykx7 wr0-m radius automobile tire rotate after starting from rr y8rwc7xy)k a kro-8;est and accelerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an anguljlt; l9 9uvz(far 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 638s 3vzj7h skxj5 elfat 20 rad/s decelerates with a constant angular acceleration l58sjx zk63fe jh 3vs7of $-5.0 \; rad/s^2$. 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 speed of zrnqj+9he +i):,od3qm z f;d* iy- bzz6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleratio :fqyz-j z9bznr )*+eoiqdh;dm 3 i+z,n of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows doxc npd:vq0e9 t w.:o0twn uniformly from 8.40 m/s to rest over a distance of 115 m. What is the qcn 09:o.ewt0x:v tpd 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 do44qh7 kzczpt /wn uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration?c/47qh tk4 zpz

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 d3t-686 ,o(n:itgizrvugy mg down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come-(g,i 3y mtvt8io: gu6ndz rg6 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 rotatizj/w 9 g;04aan2nyvv bonal speed of 3600 rev/min. When switched off, it rotates 50.0 t4awzjnv 9ab/ 2ngvy0;imes 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 ;gfpd7)b/u aw of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force appliewud f/g; 7pa)bd 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 i8)7 lj3bg wkgqnertia $3.00 kgm^{2}$ 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: massgqz(v4 yowqh*ubm:z f919wv 5 m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. Whauwzmqv(9gy 5:h 9 4qbof*v1wzt 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 thou efza ,h4 udm9/q0b8esght the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the righus490zf8ba/ d, qmehe t. 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 acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thov ih ,5*7sm, hse +(o5f*w gdx7xcd zczje+-qought 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 se*fwm7,z+i75v ej+ c5 hzdco,o*gs(exd -sh qxconds, 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 initi/v n o7y g1ifnfo+g).jally held in the horizontal position, and then released as 7/gj).nyo ng1vif+ofthe free end is allowed 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 3lkuc b6e qi bk7gmk21,d +7*di0 cm and mass 1.5 kg. Neglect the mass of the axl lkbimei*1 u6dg+7dbk,c72qke 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 w, sut 2 :ioaikz3nht:)rapped around a frictionless disk pulley of mass 7.07 kg and radius 66:ikntauo3i, h)2 tsz:.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 arou4bq2 3osrv g))xcj, 7b abn+aa,6 arsmnd a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration of the mvo7ncg)r xq,jaa b,) +4b6m3rss2aab ass?

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 +,ld hq8pj-vck yx.5f 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: owiiakny ugd/:b-7.,y z.lq inertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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

A solid sphere of mass 1.0 kg and radius 0.010 m starts from res+msg:v)w+o*vk i9s vst and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bs mg*+vk) 9swis:o+v vottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speed of 10 m/s. 1 /y/.d4ww3 pnt;c4f dienx ub How high up an inclined plane can it c 4 t/c 3bd4uei.1/ f;nwydpxwnlimb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a maazosbn(20o s pdn5;3 9b8rjj zgpeji76)ji9ess 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 ofb sjoj9i9 p 03)57oj ezjers2b8i(6ga;nzpnd 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35 *0c2if6 1yhw o)sjq),wnjgwue incline that uqfcw0n2j ))6g wy, shjo1iw*is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular momentum changes8mvvk g3)j0zo1ej+89a obalut 6; cgz 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#

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

A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

A. $1.28 \times 10^{-21} \; kg \cdot m^{2}/s$

B. $1.76 \times 10^{-21} \; kg \cdot m^{2}/s$

C. $2.14 \times 10^{-21} \; kg \cdot m^{2}/s$

D. $3.20 \times 10^{-21} \; kg \cdot m^{2}/s$

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78#

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An ice skater has a momen efqo ih2a ki 1 3nzez.)m/.)ggser3 mit5w:z9t 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 hbq1,nmh2 , ucww-bkl 0ks /)r1( melurad/s with arms extended has a moment of inertihmrw w-k 11lsn()0bk,2euuq mbhc ,l/ a of
$2.25 \; kgm^{2}$. 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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