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

1#

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Angular displacement is usually express initm /93nwjcys +7rbf6 units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is express m/ty8mi9v) lged in units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed in )pj.6-lghq5 ni gc4l zunits 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 r ;z:f4 w.ub82m s-:ixhsjt reis turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the x;sr :8hs 4bwzu2r-e.m: fitj 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 turning14kp.zcxfd w5e -5pn2cf) tub at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular s kd2f)xuwn-fz .bp41e5t 5pccpeed?

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 b o-,7cz/h)zxq tv 7o.dq2p knmerry-go-round which is turning at a constant rate. The boy is near the outer edge, and tkcn-dqzv7qoxhb/. ,)2z op7t he girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-gogqo9 xf6r wu8a;rs-1mn mkq:,-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 thmrrsa;,kw 8qxum6-qof 1:g9 ne greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a b2 y3k / edt:ju.,l omvw6s,(yk wf4swmerry-go-round which is turning at a constant rate. The boy is near the ou:b ywv6/2kk j w4o,3 el,fdy. mwstus(ter 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 ok 85god1v fezvtn8 n*7f the following is an accurate sezkov81vn*78f n d g5ttatement?

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 dependstftdxd5+p15s ee :l3r 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. Tlkbvfwu 6mlx3( x4fg in*(2z:se1 4qphe first force is applied at the midpoint of the door; the second force is applied at the doorknob. B(bf w*gv m:i 4632 f(kexxun14qszllpoth 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 doorp,(d e6nu5zb xa q4:p yui++lr at the doorknob. The first force is applied perpendicular to the door; thrdu+iqpb456p z:l xuyae+n( ,e 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#

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

Two forces are applied to a doorknob, perpendicular to the door. The first f-)cj1zdg8og iokj p j- dgd4) g46y5dborce is twice as large as the second forc) j84o5jijk--ggddgdy czo )6d1 gb4pe. 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#

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

What is the quantity used to measure an object's resistan+alzya 6t-gh 0ce to changes in rotatiya+-h 6t0al gzon?

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 whergsr+.lkkiw v-0-.jo ye both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to tgy.i. w-lro -jksk v0+hat of the smaller moment of inertia is

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16#

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

Two uniform solid spheres have the same mass, but one has twice the radius 3y5qrgpb*t7nhp up) 6of the other. The ratio of the larger sphere's g hp brpp5qt7y *)n3u6moment 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 :ekr wt 2l en4xn)*2smthe diameter of the other. The ratio of the larger moment of inertia to that of the smallernem) r*x2t24es:n lw k moment of inertia is

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18#

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

A uniform solid sphere has mass M and radius R. If these are incb 872sgh 3yclqreased to 2M and 3R, what happens to the sphere's moment of inertia about a 37lcgqb2y8 hscentral axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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

If a constant net torque is applied to an object, tu0 a9 s)n+bamghat object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis is given by 03;r gt d893ehs6vnhze.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to nt3sdr h;9g8vh6z3 eeits 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 159jk* z8sxck8.m d;u xk0 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the m ux8;.sjd*8k9k kczx 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 r7ra d3,:z;nhu3ugoyr adius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline depends a;y h7 uu3 :,godn3rzron

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 vhh97el4b wjq70h :.a vgb7brand radius R rolls without slipping down an inclined plane starawqrh0:7 77.bg4hvb b9 v jlehting 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 momedt *ym.q *xqt070balb9bhq7x ntum of a system of particles changes when a net external force acts on the sys0 hdq*b. ytlb*9m a7xbt0qq 7xtem." 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 of4zfk0(swpx *c system of particles change without any change inw*k 4fczspx( 0 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#

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

The Earth orbits the Sun in ax z djtej* -0m8/t3bqwn elliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentum ab8-tebtxj*m/qwjz03 d out 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 s19.1(e lnf z bq9uvuuorbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth abouqsluufz 9. e1bv1n 9(ut 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 piroue* yhct08 i93yj hn n2a )pzib*/pkcan2tte (a fast spin) by pulling in his outstretched arms close to his bodycp h028jh a*3in pn2a*) byniyt 9zk/c. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs bv wke:vlf57 z x+)1rea pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic v1krw v:)e zf5x7l+beenergy 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#

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

An ice skater performs a pi-enwakfm3;z7akc0hcs* :krtbc 5 am+. w w-f(rouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of 0ksef+wm5 namf kwa3h;c-.*b7-c ra k:zc (tw inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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

State the law of conservation of angula)yjdxs7bd -jm9t6 +r47l0/0 l d xn haho)zpmar 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 doescczh.6 1 lhz)i the Earth travel in a three month period in its nearly circular orbit about the Sun with a radi6)zh.zi1cl h cus 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 ocrlbk8-h+ 8 ywf 0.30 m. What distance does the tip o8b8hwr +k -ylcf the second hand sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25 revolutions per mindt*.+ naqs*sqh f: -sbute 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 2.5mz*fgj7;kfj wm/r ;f0 revolutions in 4.0 s. What is the freqfj;j kwmff*grz 5/ 7m;uency 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#

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

A pulsar (a rotating neutron -0m(z-vupgm r star) emits pulses at a frequency of 0.40 kHz. The period of itsmg uvm-0-z(r p 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 0.20 lgq il.4r :088izu6xesruxz1 x 4r8q8s.ig:0 uzlexu1r 6lzis?

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 0-celpvj )+b qy8sjp /6ksq9grpm. How far will a point on the outer rim mgp6-js 8ls/v+0y9eqkbj cq p)ove 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 throug id js.3j:pszli m.v0b:d8r) c -rn.udh 2.0 revolutions in 4.0 s. What is the average angular speed ofcn .):38s-.:rjid j p.v bd rsu0idlzm 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 rota irg*:qpan*)k tes uniformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the center of the *)qin * g:kparwheel?

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 rm,*:ed yatc; xesort carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3. y ;*acmxtd:,e0 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 rotatingks7j f-v s dq*3cs.u;4iz)wtz with a constant angular speed of 2.0 rad/s. What isu*s )3dssk. ;z ijt 4q7cw-vfz the linear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 0.16 m in length. If the mot3m0o.c,c v8qvpt-gkm 5ya j b+or rotates at the rate5gcav 8.kjq v b-m+yp0om,3t c 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 constant angular speed o17r gkdb, e7t14mszwif 2.0 rad/s. What is the centripetal acceleration of a point on k1deiz wm7 ts1r 7gb,4the 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 poin6hy ozz (s9l0p n+(rrot on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is moving 8.00 myznz6 0lh9op( rs+(or/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 minu1fpl 33o /(grrdk5vnq te (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an artificiad/olrqn3krg (13 fv 5pl 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 jjih1:n )p ;rfqo.p0at9hrf2 a flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static frictioioh0:hrfpf9j p;a.nq2tjr)1 n) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a speed of 20 uyeqrpd7 x h1 e; 1sz2+49khpnm/s. The maximum centripetal force (provided by static fricti+px d;q9pe1n1uyeh rkszh247 on) 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 t9 b ,l4laspjltx4d/u:o 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 speed can the mass have if the stringuxll 4tl bd/s94:pa,j 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.d86etl,kte3zr+ y0sa3h0 gt uh3mk s95 kg and radius 9.0 cm rolls without slipping 10 m down a lst ym3u,+ s ehr0l3kz0d tka6h9t8ge3 ane 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 accele ghlf5 pvq.-19ndnzp)ration 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 accelehoz ;n a( +itm)8vzou)ration 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 starting from8fzl: ;.ru gfm rest and accelerating at a c 8zrl:m.fufg ;onstant 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 restsn0e )mk 6g8veiv z(u9, and 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 constan43kmph98*enul o df fa6g6u d6t angular acceleration opo4n 38mkgu6*6du6e ffl9 ah df $-5.0 \; rad/s^2$. 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 ra)mp oq: hul:8dd/s while turning through 2.0 up8:o dm)q:lhrevolutions. What is the average 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 down uniformly from 8.jltwb xpl*/6-40 m/s to rest over a distance of 115 m. Whaw* ptlblj-/6 xt 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 9is-tas-9 jwu.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular accelera t-9j9aus w-istion?

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 unir.;n vfiky 93gul,78l 4amlo gformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to tvlggra 8nl; . m4yk9u7li, o3fhe 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 )jtze *hs+m4l at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 t*se)j hmztl4+ imes at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening; .uby9+4vl u(wnvwae to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force r.+n(wu;bav9 wel u4yvequired 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 inetmdpr :kdqa-( p t*7z0 dll2(swwz7m,rtia $3.00 kgm^{2}$ 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 oribh- : ,5otrfy*jh tn lxw66gn4b tgq77gin, mass 2m is at x = a, and, mass 3mfhl5j-r 4b 6 :,7xghqoyb tgwtt6n7n* is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thow1+jeq4tsdd0 9uv m91r;f x 5g) jgkvwught 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 = 6.1 u0 fd;91 ks9t mve)drgg j4jwxqvw5+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 pivotedl k85kf, 3wu5mhmdm 1b 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 m3w8hk5 ,m u5b 1mkmfld 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 rolu8zf; +wq1c id is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The +w;l 1 qzic8ufmoment 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 c3xre a22upk4j m and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 Njke 2p2ar4u 3x 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 t0xg5/h3j6ryce ugtdq q/ mlu ,t9.v- wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. ud-hve5,/q. u tcg mtlj9x gqy360r/tWhat 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 around a fi. 1js 46wss rhf/kht,rictionless disk pulley of mass 7.s,/ t i wh.rhj1sk64fs07 kg and radius 66.0 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 energy. If it is required to storu z4rnob8ml0dxrnz jm/ uq6 * 4d;*od7e $1.00 \times 10^{6} \; J$ 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 indi iiqr4/utn1k kxacf2 +o 59+.gh9zu ertia 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#

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A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and rolls witfb xle +92j0v5q,a1sg geql-wxz1 yw,hout slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the botto-qs e9w zjl25qbylx 0vga1 w ,,fxge+1m 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 and radius 0.010 m rolls with a speed of 10 m/s.ugv9ql8 1byg t;e. 0ww How high up an inclinebt v9lu8.0;yg1gq wwed plane 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 m: n ejapw0r01a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast irwj0ne 1mp0a:s it moving 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 ancp)b. yy r3vfa:u9u f+d radius 15 cm rolls without slipping down a 35e incline that is 7rc:fav3y9bpu. )y+ u f.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 chan*2 u4z7t t fumg0eme9pges 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 moment of inedldwvf b0c1,6 rtia 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 z0ugjxbv6-xqiyyl +-f*+8 kp at 5.00 rad/s with arms extended has a moment of inertia 0-z gj8px+vu kb +i6ly-xyfq* 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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