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

1#

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Angular displacement is usually express in unitspsnr2c j.n6(b qalds:nbvbs67./lq9 of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in uninqa-jtdr ;)j-ln9 gq:ts 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 expr(by 6s iou /diyh7h7-iessed 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-rv hn7t,u i3ml)ound which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center.,hl inmv)t37u 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 *cqm+8 qyt+wi0e3b. t bxsp5za merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has8x +b*3. qtewcqs 5bzi+tymp 0 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-roun)a absy l.j7v:d which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the cens7:)j.abav lyter. 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 nnb uesma; 0lg;k.5*x f-s q4zwhich is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater. -;qz ;5gfxmk0u4sb as* neln 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 *vm oz1,x8ow0oim*e ynt rate. The boy is near to xiz m0,owv*1o em*8yhe outer edge, 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 body that is rotating. Which of the folleor2 :ztctrg:zm81v 50ve2 pvw;7 rypowing is an accurate statementr;gmr:pr8zvto0v5c:y tez wv 2p 71e2?

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 slippinc,syl sc5q7 tm* .5iewg 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 at the midpy-g5)x qt m4hpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the grea)mx5g4-p yt qhter torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. +vsq tbwjk5 b /sxy1ljh a-i:ak;1+ h.The first force is applied perpendicular to the door; the second force is applied a1.k b+b1q/h+hylsstjwi;jkx- a5:vat $30^{\circ}$ 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*vy5 *asdq,f0j 4dlye doorknob, perpendicular to the door. The first force is twice as lar5*v *q s0,4lyfayed jdge as the second force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistance to changes in rty,j:tmc,heuj,rux+ r 6 r9 m1otatiom1x+ t,rr, jr6,y thjuuce9:mn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameter, but onykjk yx,qm 1q)3c4sv +e has twice the mass of the other. The ratioqsv y)j4mkcyk,3 1 +qx 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 hasmri8u q3*fr* +qvpzb0 twice the radius of the other. The **vpuiz rr0 mf qq+83bratio 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 twice ths3y4l dw+ykrylh 7am) /o( v3ue diameter of the other. The ratio of( 7dr3lhv3wsya)oy +k yl 4/mu the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere hed( u (7h wpzp::1hyesas mass M and radius R. If these are increased to 2M and 3R, what happe:p(7we 1hs eupyzh:d(ns to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is aph2ji)li/a 8wr plied 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 solidjg;) x) n435 rxxhk7bjriz3un cylinder about its axis is given by 0.5 MR2. If this cylinh)xk5grznxbrj3)j n4ui7 ;3xder rolls without slipping, the 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 ma8b9o+cgh g:6tkuq*lko86f wvss 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. W 8t+kwl 9c6g8q6kghfovu*b o:hat is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without6hyu+ p55kuc3x t 9jfd0dqmnh-0b4 ms slipping down an inclined plane starting from rest. The linea+t350buuy-skd0 pfd hnxj9mc 6 45qmhr 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 spherepdv3ervu*if +9i.)cu of mass M and radius R rolls without slipping down an inclined plane star p9dvri*vif +).uce3u ting from rest. The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles changes whvu4lp7etj9, z- yb/m(1n tp zxen a net external force acts on the s lz4b7t1p n-jy,tp (9/meuxv zystem." This statement is

A. always true.

B. never true.

C. sometimes true. It depends on the force's magnitude.

D. sometimes true. It depends on the force's point of application.

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25#

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In what circumstances can the angular velocity of systu0 eo.msm+i+7t5 *ljp3 emsa cem of particles change without any change imeps+0+etc 3 *m7lsau m5i.jon the system's angular momentum?

A. This cannot happen under any circumstances.

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

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

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

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26#

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The Earth orbits the Sun in an elliptical orbit. Ignore any fr u 3)p.yu le36kay6rswiction which may be pla.kwp3yr3u e6)uy6s resent. What happens over 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 c i;awx*((0 dv(sykplin an elliptical orbit. As the Earth moves close to the Sun, then which of the followin v l(i( x0*saky(;pwdcg 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 sp)qq5oy-po+ 02fz:bum 1 nlsk*q2o wslin) by pulling in his outstretched arms close to his body. What happens to his angulasuk2z *b)0oqns:1l op q+yomqf2-w l5r momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin)k,+ hydn l0 36mzf.uox3vrf/ q by pulling in his outstretched + df/umq6yhl.v,z0x3 onfkr3 arms close to his body. 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 (m)p (yol2b d 9:bvjo.aa fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of 9: jo2y. vbloa(mpb)d 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 j5 v99l1;gf5ylebf dabf gjap3ulh//vik3 9+ 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 doesj5 c4 m oylcuo0.t,js 4qh/qeb *,g9vp(bf3xr the Earth travel in a three month period in its nearly circular orbit about(4ht m*e,vf, .y/j x4cpqbloo qjrs b053c 9gu 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 distanw mebna; fhq(rb/klv n d+7:75ri s37zne)vi5ce does the tip of the second hand sweep through in 3 minutes and )v+ri; nzik ( 5eb:w7m/b elv5q7fsdan37nhr 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 minu09eg lsfu hv6s :co (.1onwvz t4:qmi/-hgdx/te 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.p io(9 izp8o/ vdz9en:0 revolutions in 4.0 s. What is the frequenco9p zdve/ zni:i8(p9oy of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0.40 kHz. j(z igka;k:wxam7v ts;o55d 3fng x0q5k2iy3 The period of its rotativy( 352gx gkw57q;sit ndzf3jxokik ;aa05 m:on 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 a .huetl. -),ixvjim-dngle does it turn in 0.20 s?,-l mi.je ix-ut vd)h.

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 turnsm sh9, 2de-dxw kd:yv.d, izl9 at 1500 rpm. How far will a point on the outer rim moveym hzv:. x2,e-9dk9ds,wid ld in 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.bfok. 4g f-i7l0 s. What is the average angular speed of the whekg-lfo4. f7ibel?

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 thnehj+ m ok- r d4e5)v jdszei75vt 46*kle3na8e linear speed of a point 0.10 m from the center ode 5e*aod48e hv7kiz+sjtr5jne 364mk v-l )nf 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 distancep)4 m/3g iy+onm tia1w of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how g/+)4n3ipmti w1o aymfast 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 with a constant angula7*4i 1m m2eblm;c+uec mz53 eep g(h jq0cji/ar speed of 2.0 rad/s. What is u +cq3im2 z* 0ejmi5h1;mcmec/4gae p(j7b el the linear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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The cutting cord on a gas-powered weed cutter is 0.16 m in length. If the 6xp4g)mivqh1 motor rotates at the rate of 20 rev/s, what is the approximate linear spemxpg6 i1)v h4qed 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 coc1m0 rnea b idiif.kgh )u2f7po xb4;uk8.-)m nstant angular speed of 2.0 rad/s. What is the centripetal acceleration of a poi2mc-) ).r o1xph0uifmk;8bni. ukega dfi4b 7nt 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 ofmay(g+- 4ppdcb;o0n j a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is moving 8.00 m/s?dbojp g4c0(y+ n;-p ma

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 circjh4nnb, qdd)4 u q/t+pular, rotating space station (r = 100d n)jh4n+t 4 ,qudqpb/0 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 sfo2bru;; uj 7wi)c n-flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by si)bwsor7j f uu 2;cn-;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 m with a speez2c;re3 xt)b33 kv /e/7y ri kasqz8ofd of 20 m/s. The maximum centripetal force (provided by static frictionz3s x)efczb vok 2k3a7 er;/r/i3 ytq8) 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 0xai(d yto*qtr y;n )b-l28j,r .750-m string, is whirled around in a smooth ley,-yx* rt)(q lrib d;2ota8 jnvel 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 not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of mass 7.5 kg and radius 9.0 cpk76)jj stqm342g dgr m rolls without slipping 10 m down aqkj4grg 2d6)7jsm3pt 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 angul.b4maqg3 5--ds zkq pvar 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 consmubdaxn; m- * 7k(*pqdtant 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#

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

How many radians does a 0.30m5,l6czx4k n 8du oem00-m radius automobile tire rotate after starting from rest and a u,c l4e znomd5k68x0mccelerating 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 5fg8jgms6h l 1an 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/s decelerates with miv0gk w qiny 2mlu/r8d*c-9yk uq a//,ese :8a constant angular acceleration y8ml,ink-iuk qe0:a/vsuc/m/gqdw 2 e*r98 y 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 (xi/zt;rrd.ky70do hob2f+irest and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular accelerationh xrktf/.7b( royiz id2;+ od0 of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down unifor, 7osy.8nldzq mly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotatsz nylqo .,d78es 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 uniformly from kmmsfu:rxp+)4 d m/ciynf392 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration?pxr 3mim9f2f )/+m s nuc:kyd4

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 6tphqdnygwf ) eo h:).0ul,7m* 8.0 cm slows down uniformly from 8.40 m/s to rest over a pqy0)h*n gf,h :m7ouwtle ) .ddistance of 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 rotational speed of3g/ tp1kk xz,e 3600 rev/min. When switched off, it rotates 50.0 times at a constant angk k3e/tz,x1 pgular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torque of 90 Nm. If h) o-o/5 prt1gwblq h5a 30 cm long wrench is used, what is the magnitude of the 1whb5p)otr- g q ol/h5force 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 in,sw 3nse1/gvs ertia $3.00 kgm^{2}$ 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 mo/h 6xfg7v jl04qsne;* t 33a smmh*ushdeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inej6 mnut 4she* 7ssqhxha/ m*3f3vl0g;rtia 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 thought 1o q6a cse8hsmnt*u6a8 j(a5xy9k0e t 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 anjs60ekumh18q ats*6 a5oxyea nt(8c 9other 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 kaq.0uwyi2 b)k+ hnag;ilfvcpm65 * + mg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it sta0giavni*5+m pc umkq;2ybhw)+lf. a 6rts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. The rod is initially held 5 dmwg94y,phm( 4mag.d alv/pin the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inerti9wa(p/ hgmm 4dl.,apv 4mgy5da 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 mass 1. l2ddus2g9o9co a7 hz05 kg. Neglect the mass 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 th o90d72lhcd ougazs29e 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 aro fyd: v7+ hv/,,quplpound a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angud,/ vfl+y,v opq:h7pular 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 pullegr2gnolne f;iqh (ma8t/u 1a5u:ox ;8y of mass 7.07 kg and radius 66.0 cm. What is the acmq8l(xe5aaon /1fth :8igurn; ;2ogu celeration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store energy. If it is requi;hk(u fd0l(wjt8e ty :kc :3syg,z1t tred 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 ineeft.jcv/l.( qx0 fq8ortia 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 fx43er 6smoe,1gl dpp/znw)8bf*- o e kg and 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 poxped8 s)3m,wzoe41 e /l fb6*g-rfnthe 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 0.0 7.nvn*ov*8vq u yhdy4k v-p-9 i;tqea10 m rolls with a speed of 10 m/s. How high up an inclined planeq.v pivkh* -*d na74vn outy9yv q;8e- can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a 2)fkdw,x sc8hmass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a v 8c2)kxwdfh,sertical 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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A solid sphere of mass 1.5 kg and radius 15 cm rolls without t ,fg)bg0xh9a slipping down a 35e incline that is 7.0 m long. Assume it started from rest. ),0gxgtb9 fah 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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An object's angular mz.z0h+oo lv .a63hmguomentum 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 momentfk75 .* ismktb 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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A figure skater rotating at 5.00 rad/s with arms extended has a 4 ;o .gpcfv1 6,kjlq bo+iy-rdmoment of inertia of,rpcjl- qo1;b4dkgyi fo .v+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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本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
教师可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力

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