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

1#

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Angular displacement is usually expressl. v-p)c iquz1b2sg*::m 0mi1b wwc em in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in unifnl m5*nl33u)k w 7oy56sf aov *lugkpcs7r7;ts of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is express9 y4cg+amv vo2w)cml3 ed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which is turning at a c8d z gsiwjnx03-yq+.constant rate. The boy is near the outer edge, and the girl is closer to thg dx.w38 zs0j+y-inqc e 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-ronwu6raq+d:l 70r e:qe u/u3niund which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to theu 0:n l 7drua6:qew/3r+ iqnue 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 zy ::c yowuslvik/e5h1/ /s2yis turning at a constant r 5 l1ks/y /2i:oh:/uz cesyvywate. The boy is near the outer edge, and the 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-go-rql ebs;gmy w0) jt,45cound 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 centripetal accebl5y g;wms,q4e0ctj) leration?

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-,n;5i6 (lh 8 kvnwbpw b8voc-ju m3kj*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 tw-k8ib5kjmnoj(c n 86,vupl;wb 3* hvhe 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 rot/))5/ om r tt35vnts/dkpqvrj n zu7;oating. Which of the following is an accurate s)rrv z/n/otqtd u3v j;/ st5p om7n)k5tatement?

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 depenwr+aw5d9 wh;u+ 4epaids on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The first forcebqx,g0e aqb: 5-hw2 8n8ttykf is applied at the midpoint of the door; the second force i2h x g 0nbyka:q5f8,ett-8bwqs applied at 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 vwbexy.+ ,cv 5at the doorknob. The first force is applied perpendicular to the door; the secondvxy+ cw5 ,be.v 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 appliedlmvq+3qx/ no. to a doorknob, perpendicular 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 ofx 3qvn./ olqm+ 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's2;p g.an s1ob wotq8d1 wiz5.w resistance to changes in rotation.t5obp ;i1 8wgw qw2nzsdao. 1?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the s*eke7o,+: v9q nh h)gsat36 kksjy(cname diameter, but one has twice the masske okn as9t,gvh: h3(j6s n+k7eqy *)c 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 hasq1 sux 1,n; *icxixl:b twice the radius of the other. The ratio of the1xq lc:bx* snii1;,xu larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and twice m+ sj;e0ck2hrthe diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of iner2+0jks er; chmtia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased to 2dcb5ss:j--c rcvm/ d) M and 3R, what happens to the sphere's moment of inertia about a cec:5jccb-/vs )sd -mrdntral 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 obje6biwc+ oongyh.5 ca:.ct, 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 is give*se4t)y 2 .sf k6jynyvn by 0.5 MR2. If this cylinder rolls without slipping, the ratio of itsnk)ts jsv yye26y .*4f 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 mxcy2om1y5. omkxdbt6em 6 3g7 ass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotxxo57. b2g kymtecom6 3 ym61dational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without slipping down annhw0 w+5gwitqewk .7fn1k) *u inclined plane startinwt inw5k0*7hk1 quef +w. )ngwg from rest. The linear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without slipg5/*j x +tdrrvping down an inclined plane starting from rest. The angular velocity of the sdx+ t/j*5rvg rphere 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 aiekavxq n8+7( (m 8wyj system of particles changes when a net external force acts imy7(xjw+ 8(kvq8naeon 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 velock:(i p.amg el+) g238mzs (cjyubf9q city of system of particles change without any changesgug(kp8qeyc+i9a: bml.) ( mz fcj32 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 ellipp.+y4xmao(is5 kztgf:7/ol2 e dona3 tical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momtni4l7 3gm:/dfykz (exo o+.o52spaa entum 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 orbit. As the Earth moves ;: p7w, gxd:jcaek*n)a *x dkxclose to the ::pn *xdkx*we,a )dcj;kxg 7a Sun, then which of the following best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstretche7 wccdl(7nw,w7cbtt/d arms close to his body. What happens to his 77c,(wc bttwc w/dl 7nangular 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 fasy+ bh60 eb.4mafh sy 7dxt86lwt spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy aba0h6e b.y+ hylxsm6f74 8d twbout 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 pirou92z:tgh9-ja fkl9 ag 3rx.bb;3ci tu rette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of rotation?:;a-rucj ta2h9 x k3 b9fzr93i.bgglt

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 conservatiode 9wfheys)9 +n of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month perik8fxhcro7 4o, od in its nearly circular orbit about the Sun wk7roh8 4ocf ,xith a radius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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The second hand of a clock has a length of 0+lo 55gf-x ds5ymec/r.30 m. What distance does the tip of the second hand sweep through in 3 gdeyrlso5c -x f+m /55minutes 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 revol 9;f ft9x93g,etha)amud5fxg fg;v 4zutions per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. 2t1 9trx q:7yc6 frvtrWhat is the frequency of the wheelr rttv 176 cy2:xqrt9f's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of kls zx6w+ug :+ 33tb/i xmmm0j0.40 kHz. The period of its rotationmumt+0 z/km w3xlix gbj+:s 63 is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rodpi 25zp 9x:c )0iydpqtates at 45 rpm. Through what angle does it turn in 0.20 sp yip)c0dz9 x d25p:qi?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far will a poyb vqi7 r1n0x/int on the outer rim move x1yvq7b i/rn 0in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly throuttb6xuqxd t; :3n5axj 6ombyscz) /.: gh 2.0 revolutions in 4.0 s. What is the average angul;dtqmb:as. t3x )6ctob6nuxy 5/zxj :ar speed of 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. What1zgn:6 dczdp xs5go6vyi/z 3-uvv8t2 is the linear speed of a point 0.10 m from the center of the whe1xv:6 p u-tzzd 2 38dvio6ncg5szg/v yel?

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 b(b-gg,xoxl zd 48j, uof 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippa 4u, (gxdbl x-bjo,8gzge, 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 l03e 0q()rggzy9+dl djda1ow with a constant angular speed of 2.0 rad/s. What is the l)lg3z10 y lr+d jo (0eaqg9ddwinear 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 cuti)n6gjqc k;e aw-r( 3xter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the eka3q je cin(g )6wx;r-nd 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 constan9;qoif c/ )xsit angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on9;/)ixoc iqfs 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 acceleratio q*e76ajoahm 0n of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is moving 8.00 m/s?76hojqa*eam 0

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, rotating spacejzbo)*ai1n0v sz s u.d;)zu 8k station (r = 1000 m) rotate to produce an arti o;a i .1j8))v*zubknudsz0z sficial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve o 1tf +d8ac* fqzmkx:2li 9s1lsf radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static fri fi:1l8ad+ cmq19xl fkt*z2ssction) 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 wit( ury v5yb61clki/ ,jq/qs4hyh a speed of 20 m/s. rqlyyk 5 sjqb 4/c1uy v/i(6,hThe maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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

A 0.300-kg mass, attached to the end of a 0.750-m stp45mrm/m76 tx*sd gxb+mln: f;wngu px1x7z 5ring, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum rtpmp;dm n+: ls7xxw*/gxxm 6b5n1fzmu4 5g7 linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of mass 7.5 kg anvx e,mz/ nfs(8+ac dd6d radius 9.0 cm rolls without slipping 10 m down a lane sd/v+c,n (86x dzmafeat 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 acceleratirv:il6c 5- jywg/blm40z1yq ion of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant angular acceleration(d;c5- otuo0(w9nass 9 t /(vjequ moa 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 ras9owv)p dl3464- ms gz.ubaoa dius automobile tire rotate after starting from rest and accelerating at a constant angular acceleras.a49 u 6amz) b-svpo4lw odg3tion 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 ajm cy6im3/ pb vwt6*/mn 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 coyx/+m6lyb7i q/gn l;qp+c vc(nstant angular acceleratio 7nv ;xq6pyg/bc+m(i/l +c lqyn 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 angul. uyru1e y77 o +zafbpsj+/0gbar speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of the whe 7. y7+fa0 ej+yop1/bzu sugbrel?

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 m9,54at) dvo6yevztrx/s to rest over a distance of vxe56rt 9y4tz ov,)da115 m. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows dow h4u;f/(vp; zp g,pguhn uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleratiu ;gv(p;4z /g,uh phpfon?

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 c65,fb0ai bm wm/s to rest over a distance of 115 m. How long does it take for the whe5m ,6i0wcba bfel 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 laborato ;tg0u66 lrecfhl(c) rry rotates at a rotational speed of 3600 rev/min. Wh cr6celgh t;06 (rl)ufen switched off, it rotates 50.0 times 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 tighten v8k1w cdybzgyj7 f)425rvj/cing to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force appli g1/57vy 82jckd)zb rfc4vyjwed 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 iu/ g)f4o b6midnertia $3.00 kgm^{2}$ 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: mas cmu4: di,g.8v)ths tts m is at the origin, mass 2m is at x = a, and, mass 3m i d ,u.sc4 tht:vgti8)ms 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 an kj:eu5gtf* d*5iwq:zf9/ jl frictionless axis thought the center O. A rope j/:dj qf:f5ln gizwtu *95ek* wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (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 pivk cbm:994 dutsf5lrza8 rr-s;oted 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.s498urta s- ;f9:rczl k5bdmr A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged aew;f)m.a mm z4t one 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 accelerationem wm)a.m f;4z 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 7s nyou :tpkel09s2l9to be a ring of 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 spe ln72:le9 9 usost0kyped does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pul j 6 faw;hnh5r+vc3+mbley of mass 7.07 kg and radius 66.0 cm. What is the angular accelerhvhbafc ;n j3wr65++mation 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 f5* yg g)g fqdo+v0/n xit7)fjwrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the a ffj xngd7y+)t o)v/qg5i*0gfcceleration 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 s4-y7njq hg;xytore $1.00 \times 10^{6} \; J$ 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 inert75a)anxxew;n wv: ed:ia 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 and rolls wit u54i3re-ircdhout slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it rea 3-iir4uer5d cches 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 iaw 8 m6eypf9)with a speed of 10 m/s. How high up an inclined plane can it climb before comin9iw af8)yp e6mg to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is released from rest and allowanfra -avht993 q+ bd9ed to roll down an inclined plane. How fast is it moving after dropping a vertifv399-9hna a btdarq+ cal 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+4sf su t54i czkkukkcn//l2l3ca(u,.5 kg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume 5kls(/cl3+nctsuf kki2 uk4,/4cuz ait started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular momentum changes by yahk9 ai;y.jy2 .z4zr $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

A. $1.28 \times 10^{-21} \; kg \cdot m^{2}/s$

B. $1.76 \times 10^{-21} \; kg \cdot m^{2}/s$

C. $2.14 \times 10^{-21} \; kg \cdot m^{2}/s$

D. $3.20 \times 10^{-21} \; kg \cdot m^{2}/s$

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Mark Problem

78#

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An ice skater has a momeng i 7d: *ziud28n2 xa f5u xky*6tpdmst)lv*.st 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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Mark Problem

79#

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A figure skater rotating at 5.0s hfty2n++(nuv+cg l90 rad/s with arms extended has a moment of inertia v+ snc ty2hl+(u9fg +nof
$2.25 \; kgm^{2}$. 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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