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

1#

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Angular displacement is usually express in units ofmhx1ia)ah6pn,t * wmm zj0n19

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in units oflnm*)h 49ux cgx8l7wz

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 w 8w sa 1o-a/t7iike)hexpressed 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 ridi4q;ayy2rp0f/av k7k ung on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and thep4 2kqkva0yf;y ur 7a/ girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round : won9 5adbip6which is turning at a constant rate.iaobn5p: w 6d9 The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turning at a constant r d,g8z4zh*xzwehvw 4.ate. The boy is near the outer edge, and the girl is closer to thdwz vh ,8w 4*gex.zh4ze center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at a cons. pm gkrc8d jtp+z6,j6tant rate. The boy is near the outer edge, while the girl is 6tm.jr+dp,cp8 gzjk6 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 ridingk6 cl5fm3)l jyc ivrv0al1 49s a merry-go-round which 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)v9ay0ljsc rklfvl 53c41 6im 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#

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

Consider a rigid body that is w;ji.ts)u y3irotating. Which of the following is an accurate statemei .wt3i)usj ;ynt?

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

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

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

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

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10#

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Rolling without slipping depends kij2i*8 at wyi,99j7l ub,zope0mp7s 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 f, gdag(9x 4wd t*qeq(ze gv-. )qwtp6door. The first force is applied at the midpoint of the door; the second force is applied at- qg4wt (,pvq.*z9awq6fxeegt )gd (d 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 the doorknob. The first force i c8f-(akx r( o7uld)rdd;v6jao6bn m)s applied perpendicular to the door; the second force is appliedl)7a6obrdvxf;)(kdoc anr8 m d 6u-(j 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#

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

Two forces are applied to a doorknob, pe8j, 5v(wj pa(0ke hbhtrpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque of the(j0ah8jt,(vpbe k5h w 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 chyop m9js15fpx gxzr+ c4;phlv-e: //zanges in rotati+/9r hpjf4y m5g ezo;lpvxz s/pc1:x- on?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have;s ak;tz+6 w;uw he:tj the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment ofzsww ;;:htke+; 6atju inertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice the r c zx:m7r ruklf.ru(i(27syz*adius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller spsxrk2:zr(ci fzu(7lyu . 7m r*here 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 wy.hszga7; uh72 oa;ru)b+ chlhere one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia) .shh77u cz;aua2 +gl;hryo b is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased d 0b:cx f6ele7to 2M and 3R, what happens to the sphere's moment of inertia abe lb0cd6 :e7fxout 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 cild)v)+t;0tnv8uwajq1 b8 4/ xkezq5x :fc zobject, 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 h hd* dbt8rkyb0 ,r*,rcylinder about its axis is given by 0.5 MR2. If this c , b8hh *rd0dr*kbtyr,ylinder 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 mass 150 kg, one wheel of which has a mass of 10 kg ac0gjpa) z*90gz )wnjlis:./mv:c gn nnd a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total trcapcg zn:w)nvm/.*n0ji:)gs90 zl g janslational 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 a4 ykt2hbgyg*(q 0*izdown an inclined plane starting from re0t*h *izb y qka2yg(4gst. 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 a;yhfsob; lcu4: c8-v. 5upc ngnd radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bot h;l;-ocv5b :s8un fcg.py4uctom 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 when a net externz a-r - zud.-qtapl-g ):wk7ltal force acts on the system." Tgz al -prtwuk- )-t-.:l7aqdzhis 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 caiigkp sc(r* +rkf,v94 n the angular velocity of system of particles change without igr,4 +isf9v krpc k*(any change 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 lrqtq6v2.- y;wtlz:m 4v5fo zelliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's ang6 z;tv. wlyzof r:52vl- 4mqqtular 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 )1 w iwyw4-yyg8d7c:fvkf: q borbit. As the Earth moves close to the Sun, then which of the following best describes yv7q:4w dcw) 8y f:1gfwk-b yithe orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by pulling in his outv/ , e,6zi c6jq0tsgthywe 2l:stretched arms clocsjztwqt,:/ ,60vy6 h2 eeglise to his 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#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstretchewv b hy;kgj7ci,,;8kmkyi-1l)yn j 7i d arms close to his;) wjy 7 kyyihg,vi18-lbk7 jnkm ,ci; 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 (a fast spin) by pu) ed7iw b;teiplgji1 :e( (8xfp8anl/lling in his outstretched arms close to his body. What happens to his moment of inertia abo8d(l7(npex:) a;jfiw 8gebtil/e pi1ut 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#

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

State the law of conservation of an8 mq 5:5k;lqo *sfz te)ac( 2ipqlswx li)-+nfgular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel i-yryzga p ls7hpv j (-.v1r08mn a three month period in its nearly circular orbit abo(8 rzyps-gpv hv-j.01lm y7ar ut 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#

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

The second hand of a clock has a length of 0.30 m. What distanc 2 1pf2drjc(jp 4vz6kce does the tip of the secon2jj4vkp d 6r(cc1fz 2pd 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 revoluc7f;y dw;9q i wv3l2eaiqx3. ktions 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#

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

A bicycle wheel rotates uniformly through 2.0 revolubhyv2r +wjt7z. y, ,e4az ac*utions in 4.0 s. What is the frequency of t*y2,7, yzhe t+aw rju.cz4abvhe 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 frlw j/l:dg4dt/6 )8akm/upszv:kwb.requency of 0.40 kHz. The period oalwk/64s8/l ::tzd)u./gj dwb pmkrvf its 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.8vi; o u0h6arnad 4xs 0.20 s?uod.6;aa0ixnr4 8sv h

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 xwi9q sa+)8ylfar will a point on the outer aw+s qylxi)9 8rim move 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 revolutionfbbx +nlp s5n9z79j:ps in 4.0 s. What is the average angular speed of the whee9 7nbxzjn5:9p ps+f bll?

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. 5k z49j 8ld:0iyi z) 1yqvjyoe What is the linear s o984l5y ij)kdz yy0i1ze qj:vpeed of a point 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski resort carrir 7 ok.ccv5v::v qkd9nes skiers a distance of 6.8 km. The cable which mo:.ov 9:ckndv7v k5qcr ves 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 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 angular speed of 2.0 rad/2ur*ayrw+e 4 u.hfa x(s. What is the linear speed of a point on the wheel's rim4y wx(r*r+ u.hu2aafe?

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 cutto,35y6ql hp2x gll;taer is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear spglh 2oxql,tyalp5 6;3eed 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 speedk6 q+ ;de0vnsjhd6mfyb)6* eb of 2.0 rad/s. What is the centripefmseb dvb; + )*6 k6q6hdn0eyjtal acceleration 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 centripetal acceleration of a point on the perimeter of a bicycle whmle ,gmrv *u.1eel of diameter 70.0 cm whel m1ru,* v.emgn the bike is moving 8.00 m/s?

A. $91.0 \; m/s^2$

B. $183 \; m/s^2$

C. $206 \; m/s^2$

D. $266 \; m/s^2$

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46#

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

How many revolutions per minute (rpm) must a circular, rotating space stcxn*v3vkf pd -8h 0pvm)(t/vsation (r = 1000 m p -/pdk(tvc*8)nm0sx v3vvh f) 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#

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A car is negotiating a flat circular curve of radius 50 m with a speed of 20 m+hn0k4t5lb)-+j g *pk 2 j qzk)hsyzim/s. The maximum centripetal force (provided by stati+jkjhk-+bnk2)t)0i5 g l q psm4yzh* zc 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 curvj:e, 8:lpvzvbe of radius 50 m with a speed of 20 m/s. The maximum centripetal force (z:je v, bvp8:lprovided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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

A 0.300-kg mass, attached to the end of a 0.750-m string, is whirledvbw aa+npy;; w 0kz;xvg/s6) d.ea*hu around in a smooth level table. If the maximum tension that ta +;6;/eawv0uxdszhk; )w gn.b*pyv ahe string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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

A bowling ball of mass 7.5 kg and radi(fxbu 8ly:6.8g n1 js(qm dpmzus 9.0 cm rolls without slipping 10 m down a lane at 4.fu(m.88 j6 s:zgxy (bmlqn1 pd3 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 acceleration 5c)9aen 4 cfc3x4j16onhhopmof $4.5 rad/s^2$. 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 conch 4(*a /wyp)+hjgnj cstant 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 0.300-m radius automobile tire ig3, 3jdw1k i6 fu0ieerotate after starting from rest and accelerating at a consiijk e1 ui,e6f3gd30 wtant 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 )1 +sxjpi8i-ql2oz sv 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 decelerataksu/oe. ggogh(c 4 9uk, ax9+es with a constant angular acceleratioks(uxe9gu9g o 4 k+a,co.a/hgn of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s i6w-n9ju4 kb)kmty4kwhile turning through 2.0 revolutions. What is the av4)mn kty-jkwuk9b64i erage angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows x u;g0e86tv;zuc 7jzudown uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates 0z7uc;vju8u 6tezg x; 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 2)v5kaar v)h2oz f cl2to rest over a distance of 115 m. Whao2v ) vfhrzk225claa)t is the angular acceleration?

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

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

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

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

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59#

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

A wheel of diameter of+6dw8+ ipxu tt 68.0 cm slows down uniformly from 8.40 m/s to rest over a diwtpxt6iu8+d + stance 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 rotatesrap03eazt pbp ni/ *e6k,qpsxb8.u92 at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before coming to rest. zbe*p6e9us 3,rpq/2bai . k8 0patxn p
(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 tdm8u *1 ljh,q tcf3iwj (4bd7tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude o*4 71 chb8 lwjdj3,tdtuqi(mf f 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 ;6x7 xb ev)j r4y1laia zblr b4klm428of inertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

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

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

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

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

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63#

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

A triatomic molecule is modeled as follows: mass m is at x a2pp,0germ qon18uckt4 0a( the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the origic14ar8k g 00eqx(mun op ,t2pan?

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 abv 0y j:cdrkmk:8 i6*sbout 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 :jviyr6b8c:m sd k0 *kanother 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 abo.:9f cnyng)m aut 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 a:mc9fy nn)g. 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 * jfd.u)cri l8*+gb 0cehvlq6one end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acd* 6ljlc+.f)vbgiuhr*8 0qc eceleration 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 radi sol k 8e6xj((j)ycfg.us 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radiujoex ( f(.lkgsc68 y)js 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 frict;tdg b,ucx0v1.b9iv m ionless disk pulley of mass 7.07 kg and radius 66.0 cm. What ism. c g 0vbdiv;,9xtu1b the angular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless divqu0c .2*avsznojl) ;sk pulley of mass 7.07 kg and radius 66.0) c0.zl ;u*anqvojsv2 cm. 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 ev+f5b9by 18rne 7bi4j n sy(f k(p5azmnergy. 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 inerap1qk by;y *4btia 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 startsylg(qk n yz ov1*s,(p;nd 9co* from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclingcnny( *yoq l sdk,p(1;oz9v*ed 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 an nxstgqwy -*w r:o pp,svz,g/ ,mfg179d radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before coming to p :r,9zs1,w *7n/ ggym,g-fvpqxs two rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is relea;rv ezov ls/ z;8lpdp q,)vdq0q.: l0ssed from rest and allowed to roll down an inclined plane. How fast is it l0 dz,8;vvsq;0q)./d sq:lvrzo lpepmoving 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 slipping9k1s1h/clv sj down a 35e incline that is 7.0 m long. Assume it stv1 cl/kshj1s 9arted 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 moc 5-+ro 2mzkykp(efq(gbm,y2mentum 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#

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 momea ti3ncczm;x18-ydw i* x s)s1nt of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad/s with arms extended has a moment of inqfd 56hlsxd*q50j ;xz ertiald h6 q f5zs5jqd*xx;0 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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