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

1#

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Angular displacement/unto0y;7dh0sj j1q s8k zcf:s pn n5, is usually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed inxanrm.ameo60u4q j/ : 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 expre; sadl:l)et h-hbak z7qow 4.*ssed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which is turning at a constant rb/ -flw6un0dnk w+ w6uate. The boy is near the outer edge, and the girl+fw n 60d6 unk/uwb-wl 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 tu ze7rj2 l1so5ysg3p(jrning at a constant rate. The boy is near the outer edge, anojljp3 5s( 2s7 gr1zeyd the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are ridbipv:8gvxwgv- 91 t h:ing on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear s:tv- p8b91g:iv wxhvgpeed?

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 whichh 6a:friw-c7arw3 f(sg7s, a y 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 centripetal acceleratig yh, sar 6f(ifwac3 -7a:w7sron?

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 bv2 wcj(f2/ bz4ysh8v/rw)cma merry-go-round which is turning at a constant rate. The cjv 4m/vfs z cb22)y(wh/r b8wboy is near the 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/as50 gdb9xoe of the following is an accurate stg05sbeod/ 9axatement?

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 dep.z ba oc*85//v ga3xdm.m-zp er/wbccends 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. y9wl* iu w-kx0fd q/d: 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/0 dqw -kd u:iwx9fly* the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. ajo d +z;k;b;-qy2bar+ aula- The first force is applied perpendicular a-o+ 2l;b k+ darzb j;-aay;quto 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 t wuvr:nczb ch:7h8dk.cf.s 00o a doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of t0nz. s8k: ucfcwv h0rcb7.dh: he 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 ,gvrcyqrkceukh (,1 9 t j 1o0x,2kq,qresistance to changes in rotation?tuxer9qk 1kqy,o ,qccj(,g2h10 ,kvr

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform sylt dui)(s1o a+:5cc bolid spheres where both have the same diameter, but one has twice the masslo:y +1()c ai5us dtbc 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 spherx)5a y pmu;w/qt(m.*) ;id ulkefei-y es have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of tkel y a-ti).;; ( /dmfi*5p)uuwyxqemhe 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 whkutahi6y13+xf ,:sxrd4, i a cere one has twice the mass and twice the diameter of the otheafxiyu3 ahx6r+:kcd 1it 4s,, r. The ratio of 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 has mass M and radius R. If thes *+k8s+6u.adcm)o(snc9jenr mx.az he are increased to 2M and 3R, what happens to the sphere's moment of iner9mnx.s.)c(un8a +oz*6 h crj dmes+katia 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 apyd)ci8m2equ y6x / a(+ny9k edplied 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 abm2, )ggt 9sipo5y wvg xlv(;(gout its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the r; y)go2vg9(p mg5(tiwlvx g, satio 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:fw3y: e4u-yalegk5kw9bqn vl 5zj3* mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotationluy:g4a9*bzl v5-ye5nq wj wf:33k ekal kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without slipping down an inc 9h7q c)ujlk*30w2i+zjnijb4suww 6tlined plane starting fzj+lj whk7i w) 6wu30* 2qtnjb9c4ius rom 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 sphecpsel-jm 6 6: m/0ejkuhve )-lre of mass M and radius R rolls without slipping down an inclined plane scums- p 6vk6eel-/jmh )j:e l0tarting 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 o/0 ubkm ,8qzkparticles changes when a net external forck 0omku8q,z b/e acts on the system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of particles fpx)c8 uu*vqo0; 3he4ankdw: 8,xz exchange without any *)xfc x, 84zeq xu3ua ;od8e0:vhkwpnchange in the system's angular momentum?

A. This cannot happen under any circumstances.

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

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

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

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26#

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The Earth orbits the Sun in an ellipti gdvp)j3nu7+d+, cjhg3y:fnn cal orbit. Ignore any friction which may be present. What happej :73v+3)dcn h dugpg, nnj+fyns 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 in an elliptical orbrji*os0sk c ba+bj8x tc6+5v.it. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth about the Sun?v6 rc+0io+bs bx*c j8jkats. 5

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 pur,8;q3hsleqglg- pq :lling in his outstretched arms close to his body. What happens to his angularq,3 gq: rlhe;8pgq-ls 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) b: 99n7q/eyyadqu g1lmt d(h 5hy pulling in his outstretched arms close to his body. What happens t59/(7nedth qql gdm a 9yuh1:yo 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 d+h5 ncx*tq 5xv;3mg*bs6 zwu fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia aboumvgw6zbn* qh;ts*5x5c+3ux dt 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 conserv* 53 bv6k.9ykaxsxb qmation of angular 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 traj m1 5ib(sya mm+a+hd9vel in a three month period in its nearly circular orbit about the Sun with a radiuhdma+i mjs +51by am(9s 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 len86 vf+ s4zt:hqgsz*h egth of 0.30 m. What distance does the tip of the second hand sweep through in 3*qf:6+sh e vtzzsh g84 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 revolutioca l)xira/-7sxxg4x ( ns per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is hp x8f4r4m1hqq- slz) the frequency of the wheel's rotatio)4mqfhxql48 1 hsrz p-n?

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 fcatm)( l7;,tvpaf) iu requency of 0.40 kHz. The period of i;),aifl)u tapm7tc( v ts rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rotates at 45 rpm. Through what angle does it turn in 0.8wrh8sjpet(h r+ knxm c-j3f k9)) ,eh20 s?8hw )s +pkjjreh3)k- n( h,89femtrxc

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 fa7je1ai9 ,gbimo1x,em4vj ucjfp6/k(r will a point on the outer rim moji7ecx 6m,veiam /1pf19o j,gbk (j u4ve 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 4.0 s. Wha8 6 )qg9+buz4wyr/xsrdl7c/ye x2owx t is the average angular speed 6ex o+ru 4 7s/9gwbwzdq8ylc2)xr/ xyof 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 r ql ;9we)t5hj:khsjn2 evolutions in 4.0 s. What is the linear speed of a pjlt e: w h;kn)9qj2hs5oint 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#

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

A cable car at a ski resort carries skiers a distance of 6.8 km. The flwvub2o) f+9 pm)gf kq 27ee9cable 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 tripfgqw9mo))ebv fp7k u2e 2+ 9lf 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 angular sp7seqyj wqka23 :x+z9 ieed of 2.0 rad/s. What is the linear speed of a point on the whxi+ej s3a2q:9w z7qky eel'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 is 0.16 m in length. e s74ghvo*s*;zz3r aiwf (wdzrr0p, 9If the motorzres ;dhaoz(prs 4*0,w z v9fg3 7wr*i rotates at the rate of 20 rev/s, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constaebrvz0 mj39 km5hy 5kt,8-cxgnt angular speed of 2.0 rad/s. What is the centripetal accelerat krk 9-zjm 0xv,h35e85ygbmction of a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetalkh 3gi2f8 e)mm acceleration of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is moving 8.00 m/s?e3 f8hm)2mgi k

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, rotating space statioxh dhmw;6n0e+k 4;ypq n (r = 1000 m) rotate to produce and4q 6he+;nm y0x phwk; 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 of radius 50 m/(xo ye yrpk(2z-b:2u5 yg+ohi yo5ed with a speed of 20 m/s. The maximum centripetal force (provided :g5-b/zi2 rehyyu5e(o(yyxodo2 pk+ 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 curverv9w bhz6d66pir u05u of radius 50 m with a speed of 20 m/s. The maximum centripetahpd6u uiw 5v9zb6 0r6rl 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, attach5j*vsn/ qcumm-luk p25 z :1bp-vllh /ed to the end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear jml:z l5b-1vp m*-ku 2/ us q5hnl/vcpspeed 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 / b62tme 1jrwxkg and radius 9.0 cm rolls without slipping 10 m down a1mexwj 6/t2rb 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 angular accele3ne5s eremq7 *g +vv5aration 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 acceleration bxkwe r56;5sn 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 0.300-m radius automobile tire rotate after s8zwjko f)bp1) k y/5kotarting from rest and accelerating at a constant angular acceleration o51o/z k)pw)k8yokj fbf $2.00 \; rad/s^2$ 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, .*pl8dmekro7and has an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s decelerates with a constant angular gdheehr1b31el4m/o 7 accelerat7e hglmhbd14 e1/ oer3ion 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 av(ye 1x5x3cg* knk4 ds-4vnh jnd reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration exd-( jkn s1 vkhvc4y*x543gn 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 uniformly from 8.40 m/s to rest ovqn p lelu 1u5ch9j2fq12v,kx8er a distance of 115 m. xh1ufk2 8 qp25cqlevlunj9,1 What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to :v ur3*t*+ib4wprbyz .r:wbyrest over a distance of 115 m. What is the aw ::rtpbw*b rbyr 3+v.4u* zyingular acceleration?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

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

A wheel of diameter of 68.0 cm slows down uniformly frommz k y,-qy4y/a 8.40 m/s to rest over a distamyz q-a/k, yy4nce 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 rr s 4yrq17vbogqw)ud),5/t ls otational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration b trsyo ws,r7)g/ lq)d1quv4b5 efore 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 a 30 cf3-xslbr713 z/rjt urm long wrjfz7b ru3- x1lr3/trsench is used, what is the magnitude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of inervvljg/1f.yn th09z c 16wx 9gitia $3.00 kgm^{2}$ 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 origin, mass 2mn.z v7:ku ic7s is at x = a, and, mass 3m is at x = 2a. What is the mu7:i s kvcn7z.oment 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 pdzid:k cdt5sz1i9bc )yq)09 g ivoted about a frictionless axis thought the center O. A rope wrapped around the outer ra :i9it10cc szqd 9y5)z ddk)bgdius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular 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 f1 22zax kbcns ya1kj0an71mj8rictionless axis thought the center O. A rope wrapped around ta 8k ak1s11j2xn 7zy m0c2jnabhe outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from 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 ini+/gv4fo ;mfrwkq8 m )m-,wqm gtially held in the horizontal position, and then released as the free end is allowed to falqwvwo - m;g/f)mkqg+mm ,4r 8fl. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

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

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

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

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

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67#

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

Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5* g fref;e6bs- z55glh kg. Neglect the mass of the axle5f6gf5hsrbg l -;ze *e 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 pullesqo*r *peib.( y of mass 7.07 kg*(qb e sirop*. and radius 66.0 cm. What is the angular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped i1 rz1 x,7hh,fman(xs around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm.ar zi 7xx(m,1h fshn,1 What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store rj91 bd8uuslp7;+up h p xn6mi2qg;g 4i/;hpp energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inh1m*xx 1yahuofnx-n/+ j b69jertia 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 r v5dq/c (srdj7est and rolls without slipping down a 1.0-m high inclined plane. Wha7v rd5dj/ (qsct 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#

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A solid sphere of mass 1.0 kg f bs n+r/k9bp8ziyo*h6 z0e-oand radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb befb+nif6-*py9k8 /hoo zeszbr0 ore coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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A hoop of radius 0.50 m and a mass of 0.20 kg is nfh*h3vclcb 4,1t:) s2 a / foadhnop2released from rest and allowed to roll down an inclined plane. How fast is it mocvt hf1ad4 o:psbanc2/fl ho,3 h2n)* ving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls without sliphneo5/4hg4i zping down a 35e ih44iohg/z 5ne ncline that 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 changes/5z4vbrr)zy n1ld u c1 5ofx;e 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#

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

An ice skater has a moment of inertb(.0 7/0 ywkeqiln7 pcm0leywia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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

A figure skater rotating at 5.00 rad/s owqcj2 m(s,/iqls1 xfl( n3 9iwith arms extended has a moment of inerti(sxwofnll2s(mc 3i,q1 9/ ijqa 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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