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

1#

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Angular displacement is usually express in czn o(;5 mmy( j57faxyeeqq+,units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in unitmd-nrp 8l1, z75arch a+ufi) ljd f84qs 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 unit3xq: xt+nl mf w m k,,e5i;yavkk;+wk2s 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 mdw 1w+y 2a09+ d/xif kj woc9;sh/bysperry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Whw+kx/ 9syw1ipa cf;dyh029 os+j bd /wo 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 turapyndnuu i1)g17 atyb*3 4y 9nning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has )13yn nbgnu9ptadu74 ya1i y*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 turj8o :ag-dw s (n(s8pfgami eq:v kq9-7ning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who hws: apqf igvqoe9a(8k78 s:d-n-m (jgas 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 coft4 f2kzqw9 8x5mvm7hq v c8t.nstant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the59f7vf4tm.q c2 h8xt wmzvq8k greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-roukx;b crxcqw. xbfsiw +xvhz5e5 ./en*+ (/ i3ynd 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 t ikv e(/xsr5h.c+ixe; bxw3 5/* .qc+b ynxzfwangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the following is an accurate nmx+6qp+la hcuj53j .statemen5xna m6up3 h ++q.jjclt?

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 :o-/iuanei7u bo)qsp9 b1nfhx 14+bq 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 appl*wdsizr 3th67d3j wj1 ied to a door. 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 the greater torquetwidsrd6z33wh1 jj* 7 ?

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 jhwp,ymd :(nhs) ln6+df,0 gbl.cr l7doorknob. The first force is applie d+m6l 7s),c(bnpy wl,:dngrj0h. hl fd perpendicular to the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are appligr4 /o khw.g0hkqh2n :ed to a doorknob, perpendicular to the door. The first force is twice as la.hr4g:hown 2h 0k/ gkqrge as the second force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistance to changesc 9ev:vqex 9*s in rotatiovc :e9v*eq9xsn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheo )mwnst7wc,h3jdw9e 0 5,d aeres where both have the same diameter, but one has twice thd jw9s a ,n)ee5o70d ,ctwhw3me mass 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 spheres have the same mass, but one has twice the radius ou io+i 4n vieb oid.v ewe774+i.b9ej3f the ot7u+iwe4ebe ben 3i o.i9io+v47ji v.dher. The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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

Consider two uniform solid lytb,-euit37*7j xue spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of intxul bye 7-tuj3ie7*,ertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere az . j;.mnuz-azr8ep qtw 6w6:has mass M and radius R. If these are increased to 2M and 3R, what happens to the sphere's moment 8ur zam w-j6;pwzeqnza.:t6. of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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

If a constant net torque is applied to any0gw0 ll5u)h rb -9 qftzv;cy+ 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 about its axis imh40v1 f64hts4i ra jds given by 0.5 MR2. If this cylinder rolls without slippin6t sd4i 0 hma4f4r1vjhg, 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 0/hs vn)dnqy ou.)23 p(qcmk xmass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of theqq c0mukx non/ .h2y(3p)s) vd 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 aef(w8pa()l/ 0 pule esnd radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline ee0spp)8fu w /al (el(depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radiusnyp1fffl+n 5m 99/pak xz69w p R rolls without slipping down an inclined plane s+/9kpnmfypn1fw6 59 af lzxp9 tarting 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 rm97f1c8*ag ,zbr9hnh t8 j-c :uyujc particles changes when a net external foch cf87 nrz* ru9-jc,jgy at1m8 buh9:rce 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 p/ vd,:n 8 k6occbva)2mre-g6hl3hk iof system of particles change without any change in the system's angular momentum,l-bc8 k/cheh:pmv3 n26 dogvir )6 ka?

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 elui+ / kcew6k4aliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentum about a4+iwu c6 e/kkthe Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earth movesv , c)7jc4dy rt;resv4dmhoxfc/5/s ; close to the Sun, then which of the following best describes the o j);t/; sfecxr5 oyrmv shd c4,d4c/v7rbiting 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 hi4c /i /)ulvk ,:kmpveps outstretched arms close to his body. What happens to his angular momentum abivkv u4p, : /mkce/)plout the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouette (a fast spin) by pulling in his outstretchetztob7nc +85c d arms close to his body. What happens to his rotational kinetic energy about the axis of b7 5zc8otnct+ 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 pirouette (a fast spin) by pulling in hviv-mkga sopd54(kv lh:b.4: is outstretched . 45abm4 vks:pkdi-:vl ohg(varms close to his body. What happens to his moment of 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 angular momentum oe3 j-ahahier62/ yo2.

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 in a three month perio mnbewk9f:ummv40ly*/ l (md(d in its nearly circular orbit about the Sun with a radius o dy(:ml4kl mn*um wfb/(m9ve 0f $1.5 \times 10^{11} \; m$?

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 distance does the d7 d,;bgscfbt; so1p1ud/ ba9tip of the second hand sweep through in 3 minutes and 45 db1p/dsd19; bt7 ,uoa bscfg;seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minute equi2gr6ye * sixf;udw(-w (*pt(lgmen *ovalent 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 uniform;8 0a8xwgb 0ge; fgi dcip3ks0ly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel 0;g sbicd83;ap8egkf0w0 ixg'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 neutron7/ qd59tcgz p kp/flp j1o+4ql star) emits pulses at a frequency of 0.40 kHz. The period of its r/9 t/7lpjc1k+oqpdgflz 54pqotation 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 doe0xf6c 5x3mhwl y2/ cpa (laa3as it turn in 0.20 sm35cc0 y2afxhw/ lpx( aaa63l?

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 2obnx+* f*5p34j me3rzn 1y( tvcamnm dz,/1zl6 cm turns at 1500 rpm. How far will a point on the outer rim mznnz 53mmn4311* dc(*brfm/z xpjov ya+ l ,teove 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. Whe9g3)0 u w10fjmvkgyhat is the average angular speed om gh9ewgyjfv30)k10 uf 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 revolutions in 4.0 s. Whatb87g(4rih)yhf *pjcywy-w, v is the linear speedr w(vihy)-yw* 47g8ycf ,pbhj 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#

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A cable car at a ski resort carries skiers a distance of 6.8 kblsfzxd4) .1km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley 4k 1)z lxfsdb.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 b lz( zyi3 v6:+k+ 97nzoy1gzlo 4pfleis rotating with a constant angular speed of 2.0 rad/s. What is the linear speed of a point on the wh y(793 zgo 6y++1nlbfkzpov z4l ilez: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 cut 7s+ ykgjmqiqey 2ht1pc2uu5 a:c 0q3(ter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is t0 y1h3ac(c7uk5g mj2q:pu2 ysie t+qqhe 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 rop gu f0,o 129k dl b7vhfk:pzas+mf*v0tating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a poi0v0pkzg9f1v ffb7us2hkmop+ ,:a* ldnt 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#

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What is the centripetal acceleration of a pq;:*4o4-pi xa(x kcc dqt5ymnoint on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is moving 8.00 m(o:x-dxkn 5qy t*m4q;cic ap4/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#

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How many revolutions per minute (rpm) must a circular, rotatinc6lc/ ft:d9w zg space station (r = 1000 m) rotate to produce an artif/6:c dtl9cwfzicial 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 sp az c4aco.( zaw)sl5h6eed of 20 m/s. ah4.azc scz(5ola) 6wThe maximum centripetal force (provided 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 ci . j1gd )9;iijb9bcmwurcular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by stbijj99;b1.i u)dg wmcatic friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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A 0.300-kg mass, attached to the end of a 0.750-m string, is klkwzrig, 5nqm) lt y.4-u72cr*. hlzwhirled around in a smooth level table. If the maximum tension that the string can withstand is 250 Nwq .hcyk- zr2r. ktg4n),zill7 * 5mlu, 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 radius 9.0 cm rolls without slipp+j o (x/,h69j qpjba4:nand bring 10 m down a lane at 4.3 m/sx,:/n njdo(6 a+aq b9pb4rjhj.
(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 acc s . v.f;npdnpk;efctmh/ kequf:/+- 0eleration 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 acceleratjj9u8 0fz, qaj );x.d0kwlixnion 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 automob, )9em7.f lxwuxnkx7hile tire rotate after starting from rest and accelerat )xn9fk7 em h.,wxl7xuing at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an angular any, e6o:dhu k88sh:p wdnf+r1 cceleration 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 dej h)sc0*nwvf 9celerates with a constant angular acceleration onhv 9f*c w)s0jf $-5.0 \; rad/s^2$. 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 reache yj 3 4ky4li7,n6rhinbs an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What in7y bl jr,43k4ih 6niys 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 8.40 m/s th8gqa6w.c bdv*chb35c ))qleo rest over a distance of 115 m. What is the total number of revolutions the wheel rotates icc) h5*l3c adw.qh e6qv b)bg8n 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 l): )/lu /m *) gaiopifmb+ ovb7+txbvm/s to rest over a distance)b/ v*ap):b o+giti7umbl/mvo +)fxl of 115 m. What 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 68.0 cm slows down uniformly from 8.40 m/s u *+i*mps/op vaj1 h:h w;nyb4to rest over a distance of 115 m. How long does it take for t*a uj* o nhvi1+:by m/p4psw;hhe wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational speed of 3600 rev / kfxud+ d3:eb2.nfgy/min. When switched off, it rotates 50.0 times at a constant angular acceg3d2 xeb+f:.y d /fkunleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torque of 90 Nm. If a k.qv/wk+r5dy 30 cm long wrench is used, what is w5d +kky.rqv/ 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 inertia +atmt7 u2n1a p$3.00 kgm^{2}$ 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 fol-cy9z w7 mi9bllows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the99zyc biwl- 7m moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thou qr vxdx:lb/d *9prj8,e9) azxght 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 9xejx8 vlzaqrp,/ :9 *)dr dbxradius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought 0d6r vy86m0tqip yqv 8oz9v9xthe center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N qdmixo t 8y0r69p9 0qyv68vvzdownward. 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 bfqw2ylu o(;d:s;ked55+ .c8vv as jqrod 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 moment of iedysod la;( vuq.k:s+ vj 8f55;qwc2b nertia 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 oftes mse3m0 -,em9p2os radius 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 radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls withoutsee0te3m9 2-ssmpo ,m 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 hangsi ys)ty. m mgsi42wvhbi.35o. on a rope wrapped around a frictionless disk pulley of mass 7.07 kg and ra4os5it ybi)hm.i2 y .vmsg w.3dius 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 around a frictionless disk pulley of m tih*; 2p ;7vht0a h6azln/qgd,kav 7pass 7.0vh;vadg7a t/phl;pnh i, 2ak7z 6q* t07 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 sh r2/r20tg sl7 6twgbqtore 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 inert j9* o(bxd:zpux a1yp5f yh45kia 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 rest aq/6rj kr j es4-*1akeknd rolls without slipping down a 1.0-m high inclin *kkr1kse-4jqr6 ej/aed plane. What 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#

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

A solid sphere of mass 1.0 kg and radius 0.010 m rolls with a speeb71u hm 2ycfksqh)19f1gk k4 md of 10 m/s. How high up an inclined plane can it climb before coming tokh 1m4 sbchyf91m q2u)kg fk17 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 s/ 3r k*e8gftgkg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3e8ts kgfrg*/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#

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A solid sphere of mass 1.5 kg and rad(8 f/flsat 1pbius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by p8sflb a(/ft 1$I = (2/5)MR^2$.
(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 changa nw+ ;ri-e nbzkdh +5pfq 2ah8)*(vkaes 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 inertscw-ix+- splr zo768qia 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 with arms extended has a m:ubkx4j)mcc p5 0;xq doment of inertia kqp xmd;4cjc :0)xbu 5of
$2.25 \; kgm^{2}$. 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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