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

1#

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Angular displacement is usually express in unitsl.9c t9u8i zvlv8xhgbz (:) g,r-n k(or7ystk of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in un2prl oazq;s)+ its 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 units y0cbrmazzfzs 3)7.,x 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 wpfbs0 i+7 lgbfm+ b9*on a merry-go-round which is turning at a constant rate. The 0bi+m*7w9+f lgfsbbp boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are ridia fv:oad*f a v2vg,2x8ng on a merry-go-round which is turning at a constant rate. Th8dxa ao2 g,a:v* vf2vfe boy is near the outer edge, and the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turning at a c hrh r ;7 zz7iwp4/bqi8d/-ehaonstant rate. Th7rhii8 q-w h;h4/dzrp/bze 7ae 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-roun-+vbt 0uet7 mpd which is turning at a constant rate. The boy is neare -+7t0tm uvbp the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is turning at a c+(m:u 8 q-ugwj 1vmejlonstant rate. The boy is near the outer edge, while-:g wqu vm(e8l u+1jmj 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 of the following is a 5qqy ;w1mgt* wa6th4kn accurate statemeqwgh6qw;ta5m* tyk1 4 nt?

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 slipqmzjfc:-1w glnt26agq-r o6 y7 yy,a5ping depends 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 force is applied at the midpojiq*m84x(, v z0qqvbqg 50z3sxt, uhb int of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the 4t s8bqqj uz, 0q mzqv5i,x3hx0g*bv(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 appliedx963 k4an tfuwz +*eeh to a door at the doorknob. The first force is applied p4xan weeu h6+*3tfk9zerpendicular 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 applied to a doorknob, perpendi 61;1x. w.owyr pug,cowk ,flccular to the door. The first force is twice as large as thg 6,x,o1c;p1yoru l..w ww fkce 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 measuwd q5gao) f5;cre an object's resistance to changes in rotatidaco)f5 ;5qgwon?

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 same diametefgzdne 0fo 2 ju(q(r-f4d2+ocr, but one has twice the mass of the fjnfoe(ud4qr d +2c fg20-zo( 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 of jzy/bl scm g(4ko* 6p5the other. The ratio of the larger sphere's moment of inertia to that of the smaller spher zgspy4*mkj/lb 5co (6e 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 d2j 4k ,v*zlm;ww(f-f,1lgpad hwt ; hh5g o:sone has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inert vmk: h51ds*wofhajwg;d; -wp 42 z(,l htlgf,ia is

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18#

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A uniform solid sphere has mass M and radius 9qrcw pani01vib 8c-- .uip0e R. If these are increased to 2M and 3R, what happc1ibwpq-rui9.0e 0 nci8p-avens to the sphere's moment 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#

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If a constant net torque is applied to an object, thk o8nd*ek8ry aa 2,i0hat 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 ox)vz:xj;t 7gy7m6l/ jwe6n xnf a solid cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio oj67 xj); y7nzxgevtwn: 6/mxlf 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 yce lo3 2m8z+yov:-p wl er9b4of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? v 3erp bwy9:m28+-colly zoe4 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 orykd 4l0igl 6n a (i4(j:ebf 8jm;rml6f mass M and radius R rolls without slipping down an inclined plane starting from rest. The linearj6;llm8 4ii4efa 0j:(6 ( rldmykrgnb 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 d ;rzwmmv u;52and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the ;;zud mm5r2wv 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 particle(wp zz)--s2z p8 ylo aiy89edjs changes when a net external force acts on the wy) e ap8-sz(o9ylipj8 dz2z-system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of particlek26o k)4wtxfvs change without any change in the system's angular mo)ox wkfv62k 4tmentum?

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 elliptical orbit. Ignore any friction which aafhzb .. gwl : cxa4+z)75nmdmay be present. bh7d5)la. :4 cmxwzag+ anz.fWhat happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earth mov:.6 ewrr a+fwles close to the Sun, then which of the following best deslr +fw.:e wra6cribes 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 pus w3upmtr538 ylling in his outstretched arms cltmp s 3r5yw8u3ose to his body. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fastmvil y7a /t(w*ty4vgiusc +-rilj(03 spin) by pulling in his outstretched arms close to his body. What hagvv4cy(wt/ ly u-+*i0a( ji3 tr s7milppens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette (a fast spin) by pulling in his oun4j/l zpfc7hjentn0 8a) 4+zetstretched arms close to his body. What0tnpjl4 +8n/zj)n z7ech a4ef 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#

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State the law of conserva,bq4ewnyq3 8br w ,0aetion 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 mol7f w*v2zt asp5 8u-1o*asmfa nth period in its nearly circular75zu-*l2w tsa vf*o mp8 afa1s orbit about the Sun with a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.30 m.e 8/ft z1ez pz2xl ;mvaexf1f*,1;s bt What distance does the tip of the second hand sweep througha1z t 1/pezx mf, 1;xvb f8*tes2;ezlf in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutikb dc46w4q p9dj5fvi4/ges4 cons 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.rar a;f (ufn9n1a8ca 4rko h/f)n97c h0 s. What is the19aa/)rf ; cn h8hkran(a9u onr4 f7fc frequency 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#

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A pulsar (a rotating neut *-e2mzc- fln;bpedk:s uz )qlou7*1 oron star) emits pulses at a frequency of 0.40 kHz. The period of bno )* c u:o7;-eesu1k-d 2flplzm q*zits rotation 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 rotates at 45 rpm. Through what angle does it turn i*zrlu 7(dytim pd65k6n 0.20 s7( tk6imypldz rd6 *u5?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the outer 5t-d,a vh (kyprim mo a ty,v(pk5h-dve 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 jan al i,7.fld9**vp(vz j(vkh 2.0 revolutions in 4.0 s. What is the average angular spee,*d*.nvaz kv (ja v7f(p9llj id 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 in0(ti u(nyvl;e 4.0 s. What is the linear speed of a poi uien;((l0y vtnt 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 km. The cable whilx2hw8w m/5l v7t o;xzch moves the car is driven by a pulley wz xx2w;tm /8ow7hvl5lith diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating with a constantehx7rv 028/izihxs 9c angular speed of 2.0 rad/s. What8 /h 9x70 ci2vshrezix is 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-poweif00tkfa2w 8p/a q uk9red weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/f8kpt f0 i9wq 0u2ka/as, 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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Mark Problem

44#

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

A wheel of radius 1.0 m isw0rx *jvb ,vufu;b70d rotating with a constant angular speed of 2.0 rad/s. What is th 0;u7v wfbb,*jvdxur0 e centripetal acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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What is the centripetal acceleration of a po svv((xol-m; uint on the perimeter of a bicycle wheel of diameter v;usvxlmo((- 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a circula qn.bv(a5efi ik;jb-,r, rotating space station (r = 1000 m) rotate to produce an af- i.v;n,5 ajqk(b biertificial 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 chaq((i (gu 1pwith a speed of 20 m/s. The maximum centripetal force (provided by statih(ui a(1c qg(pc 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 circula 65 exbff6)u*tnwby t.r curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static f)ty 5 twffe*b.nb66x uriction) 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 whia(77h jbixi ze(yksu506p4o urled 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 string is not tu(x(bp467sa 0uz oei5kyh7j io 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 and radius 9.0 cm rolls wo+b9 .1 l 7mpy+9*-yqli) htvryrdcarithout slipping 10 m down a lane at +qmrv 9rh-l+)*y7cprol.9 b iyya td14.3 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#

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A wheel accelerates with a constant angular acceleration oz8*h l4v v1 vxsl(vepjt culw .+)y*3mf $4.5 rad/s^2$. 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 constzz0ql ou.6pr 61xt/tl ant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m radiuh8. ca1htt c:qs automobile tire rotate after starting from rest an: ahq hc8ct.1td accelerating 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 acceleration o hd:v7v*ow- )p5snu taf $4 \; rad/s^2$. 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#

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A Ferris wheel rotating at 20 rad/s decelerates with a constant angular a0 8fc3bdggtj 5ctsvy5 ip u1(8ccelerati(u 5fs8 i5p d10v3gbytjctgc8 on of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s whil 0s ;mzbad+;ou)hsyxq. 2vi 5le turning through 2.0 revolutions. What is the average angular acceleruia2sxb; .lzd )+ qh5;0omsvyation 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#

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A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest :/vkir6r9-5 spvye d dover a distance of 115 m. What is the total number of revolutions ryd-e95:ivd6 s vp/k rthe 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 slowr(,:aq ))i3 xd5d1bxockb qlws down uniformly from 8.40 m/s to rest over a distance of 115 m. What is 31) wk) ,:5ddoxbc qbxilra(q 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 tokinvw): bicm*hq7w x,o) rk/; rest over a distance of 115 m. How long does it take for the wheel h o ;rwk:x, /imv*7)cnkqwi)bto 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 rotat 3tk 6ve8,wppxjd5uf4 ional speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angularjx,86du vwepfk 453tp 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 to a torque of 9 ,.m8ef l8l,3yhpgh ;yd)jjyx0 Nm. If a 30 cm lonmp8 8jh d;egh y l),yj,y.flx3g wrench is used, what is the magnitude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of inertia ybda(tur:0.shk wa 5sm/gp,+$3.00 kgm^{2}$ 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 moleculepf*y2,w f* *sdlnw: jg is modeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inerti y*n2gwd*wf l* s:pfj,a 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 z:hdq*le.b2b )59 -apvym 89 wdnoaebmass 10 kg is pivoted 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 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinderb 8:lobeb 2a*vwdm)dz y -9hqnep9.a5?

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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Mark Problem

65#

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

A solid cylinder of mass 10 kg is pivoted abo 6*hb1u6x / cwt8ly96tgq aj5o2sgotqut 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 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 res 9 oqco*h8t 6y25/ gqagjblt1uxs66twt?

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 bly0mb:c8iym4 uuck,d;.fs1 jyg-*crod 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 inertia of a rod about one end is ML2/ym l:s.f,bc;4 cjm1*kubgidy-cyu80 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 aoi/h2y x5 .pybe 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 speed does the wheel achieve, assuming it rolls withouap5 y.ixoy/2ht 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 pulxx 9s 8oqc.s4iley of mass 7.07 kg and radisxosx9c84iq .us 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:qznl2gq(,y j*8d14 m0ec*pkw u dm ii on a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceq(ui :4i0 p12m,kdwyjnczl8*m*q degleration 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 end5ibhctb80hzh; 4wl l +)7mohergy. 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 inertiadut3 7w 9x/a7hsudv j4 n6u 6rvrkdgfn37(a a5 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 l qre l,j6wjgr* s-v 5s;u),xhand radius 0.010 m starts from rest and rolls without slippi euhjs ,s) g56lrv*,xjqlwr-;ng down a 1.0-m high inclined 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 xbfm5t /a/*fclw20 hi 0.010 m rolls with a speed of 10 m/s. How high up an i5ifb * wcm/faht/ 20xlnclined 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 a mass of 0.20 kg i0f i/q sjq 19j3-gtmfhs released from rest and allowed to roll down an inclined plane. How fast is it moving after dropp-tqjqmf3i1/h 90 fsj ging 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- og b-6fm)afw kg and radius 15 cm rolls without slipping down a 35e incline that is 7 -bw6gam-f) fo.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?

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76#

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An object's angular momentum changes by qj8+iqzy1k z -ccl14t$20 \; kgm^{2}/s$ 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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78#

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An ice skater has a momenmn5a.ygm p: h- 1ls4.gar cm)nt of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad/s with arms exte/gqpi 2dq5ibrj 0qm92o)y4 k7 tmgmi) nded has a moment of inertia of)/qtm 0 bmid)goyrg5i 942mp7ijqqk2
$2.25 \; kgm^{2}$. 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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