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

1#

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Angular displacement is usu*5cp5m vrlgp6 ally express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed imip 2/v)f/a jfn units of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is e z(.yhv0llhnw k45sp .c )m;nxxpressed 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 merr oji 3bus;02gvv e,0ugy-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angulareogb;sivu,3 0u 20vjg 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 turning r.vro(tn,l:k at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the grvlt:n(rkr., o eater 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-roadc6nv l z bxld7un t4/u./1-ound which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greatxuad/zl.1l7 unn4 c/td-o v6ber 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 cono;0i i8h gpn9s5:o 7t reu58vnw wrul(stant rate. The boy is near th w s;e578un0o uliwh5t ir 8gonprv:(9e 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 ridre; *u /fpbbasw.o, 6aing a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration;p*w a fe/,u.6obbs ra?

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 yz)wj j-w)+ e 0mdryh;stath-z+0dj my;jye rw)w)ement?

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 slipick pvlg-3xd: 5qo8 )eping 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 a,p;i 2wycvnp)x/5i /, angau yt 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 to g2n/wn,x,iv; yap/ipuc)5yarque?

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 applie :6x)dfjvn(n,g42ws6n irptu d to a door at the doorknob. The first force is applied perpendicular to the doo,t46uspvjx )wgd 2i:fn (6rnnr; 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 applie3 6 gvi(t*2,uaxqsmc 9w .zk3mt0kalqd to a doorknob, perpendicular to the door. The first force is twice ask 9uiq33,gt0sm2wamx*.ak 6zt( vl qc large 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 meaj3 blcxo hy(: wks 0l/qgg/3n5sure an object's resistance to changes in rotation?3ho xnscbqwgy//:glj5l( 3k0

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 wheh/eh4aigz 9k ;:cv4lxh2y5 jmre both have the same diameter, but one has twice the mass of the other. The ratio of the larger momenae h5hjlz94y;v /2cxmkg:i4 ht 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 l ,x ux3; y1jm(az8loosame mass, but one has twice the radius of the other. The ratio of the larger sphere's moment oj(;,yluz3moax o xl18 f 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 ma om; mw1iu)6osss and twice the diameter of the other. The ratio of the larger moment of inertia to that of the)omiw 6 ou1;sm smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are in0ffihv 050e(q 8owuo, -jb 1mtquulo5 creased to 2M and 3R, what happens to the sphere5hlfj(v 0w, mu-1fou8 e5to 0iq ou0qb'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 a d;*hsbucp; xd y+ anih/am*kt;; w-d3/jc9ezpplied to an 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 an52tfnv;aesy t8x*r8 xis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinett8 ;en82tn 5*yfvsraxic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 10 k 0y.nhrh87 viwg andwr .vh70yhn i8 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? 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 a2 u5/bmklw 1rfn inclined planebw5rl mu k1/f2 starting 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 withoutz2) u q78vgo3bctvf 2(ek,l2u aobgq2 slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incl )g7 ob2ogv23b2lfae k8 tuqvqu,(zc2ine 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 +a ryv8o tx/rx80ic )ub4kltq 8(z0nusystem of particles changes when a net external 4ro80 ua b/0kt xi8rtl(un)c8z+vqxyforce 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 velocitl +p.mo4vvhf b7rh7-q3n9k7v vv yj q3y of system of particles change without any change in theo. vrk +h7fj3yv7vqvnphmv49b l73 q- 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 elliptical orbit. Ign pw /mwrez,lvu:.ix, (ez(u:a1 ke;exore any friction which may be present. What happens over timwla p (e,r:mzxve(1e zki .wuxu,e;/:e 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 moves eii0:d2 t 5k0ncppip( close to the Sun, then which of the following best describes the orbiting speed of the Earth about the Sunippit ic2(n5 0d 0ekp:?

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 pur* k a-zia/qhq-i/ ag9lling in his outstretched arms close to his body. What happens to his angu rq- ak ahiz*q/-/a9iglar momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast s t ,1 wjyr).izj)mw5cdpin) by pulling in his outstretched arms close to his body. What happet)w 1r,ji wdczm.yj)5ns 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#

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

An ice skater performs a pirou6+6 di b ap9/t+(kh4yleic klpette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment+tbi d9cpl6(+hy4ka /p6kil e 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 conservation of angnibad-xpkswi6f bc w p9930 36ular 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 mont. dhm+xd18nz.w m so2sh period in its nearly circular2wx+ .d8.s zsdm1 nhom 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. Whanu6o 53suzb- bt distance does the tip of the second hand sweep through in 3 mib ou3zns6b5 u-nutes 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 revolutn) 4 nhvn3zgrfdks 08mhj ,,3fions 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 througvbo/h+obnd6813z:lgbu x ow,3b m k5eh 2.0 revolutions in 4.0 s. What is the frequency of the wheel's roeb3bk65 o8+gb:onzd /ho,x3 1bw luv mtation?

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 0.p 1h15 a)u;gfy mezsuq/ydh 2140 kHz. The period of its roth5y uae)q;f 2yu111d h s/mpgzation 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 (j .qg(d gzjmwceg g97sy;u1 )does it turn in 0.20 scm j.dgg((sg)gu17jwq y z 9;e?

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. tfnzqzy3, cm*m/e9 y4k+ g1 zd How far will a point on the outer rim mozk medmg1,/+c9y f z43n ztqy*ve in 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 through 2.0 r dp(n;7xw pch1evolutions in 4.0 s. What is the average angular speed of the x1 c(;hw7pn dpwheel?

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#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4by9 jvll;a4inya8 h8..0 s. What is the linear speed of a point 0.10 m from the center of the whe h4.vaj8 a ;ynilbl98yel?

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 distanc( -az;sl/ uj/dccb8,ca d4 jgte of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 / z-(bs/,l ;dcdjuj 4ctaagc 8minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating with a constant.sz )w+5xzfrt angular speed of 2.0 rad/s. What is the linear speed ofr + s)5x.tzzfw 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#

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The cutting cord on a gas-powered weed cutlyzqpmn- f1z(6x v4-p ter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s,q-x p1-(m4 z6lny zpvf what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a cl 55b+7zrq39 qi:c4ojipg urs onstant angular speed of 2.0 rad/s. What is the centripetal acs:op5q r+g9lrz u7 i4q5 3ijcbceleration of a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetabb. ,tuq)md*a l acceleration of a point on the perimeter of a bicycle wh.bt q,du*b) ameel of diameter 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#

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

How many revolutions per minute (rpm) must a circular,0ungd z s* 1pvk2z;au- rotating space station (r = 1000 m) rotate to produce an gpndk u*su0 az1z-v2; artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve o56o1ptzbkn zg (da8n+ a *t2zdf radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static fritan8pd(kztn * ad + bz6go512zction) 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 wiq 2.o(z+wxez k6 0srxnth a speed of 20 m/s. The maxiwzqxsxe+ (zo620kr. nmum 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#

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A 0.300-kg mass, attached to the end of a 0.750-m string, is whirled aryn3 aa*cj k59aas1l q)ound in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linearya5 a*jsl9cka3)q1n a 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 slipping 10 m d/qmy8k 78: 3wpsg+5qn o sghvgqse;p+ own a lane at m 8 3p8 hsg:q/on +ps7sek5qv;w gg+yq4.3 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 accelerhe frddb-m0/5p)l6 wvation 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 of , f5 rlgqak9l0$4.5 rad/s^2$. 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 0.300l: y: y+1f6icxaso f,a-m radius automobile tire rotate after starting from rest and accelerating at a constant angular acceyo+sylf:6af1:xa, c ileration 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 acceleratfua 6uc,e:ck7+rtf; yion 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 wi-6bawr2xr)s o/ d2t ; pax(rhxko 6 d-b-:dhuith a constant angular acceleratu : boxw(xkr2-aoh;r-2)dt66i dxpr /sb -hadion 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 spery zu-:ylwp -rqpt 2-)ir/5mzed of 6.0 rad/s while turning through 2.0 revolutions. What / r-t-qpu :z 5l-mp2riyz)wyris 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 79 jsgi 7rh -bh mkq(*fr;zt5bojmj*88.40 m/s to rest over a distance of 115 m. What mkmf( 7h9;qtgjjisb7-rr*jzh85 *bois 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 down uniformly from 8.40 m/s t13b4 t wtip81j8 n,ex xvwuvmpc+xn2 1o rest over a distance of 115 m. What is thetnxx1jw+ x8u2,4nv3b181 ct pwievp m 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 to rest .tjmklv (8 q9xover a distance of 115 m. How long does it take for the wheel to come to the sto.kt8mq j9l(xvp?

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 jrrtg /a9/jz+of 3600 rev/min. When switched off, it rotates 50.0 times at a constan9jz+t /a/rgjr t angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torque o3m;a lk d3q50brhf6igf 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force rq; hlr03m ikbg3fa5 d6equired 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 oyql8 a2db -v,cf inertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

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

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

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

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

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63#

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

A triatomic molecule is modeled as follows: mass m is atom/cgv 0m gte53lv. -:ajf /sw the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertiam:fc wj3vgs tmo//v. 5-gl0ea 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 axnmop1z2q)5cfbt3 t86 tpm8 lnis thought the center O. A rope wrapped aropnt 3m61m8n8b )2lcpzqf5 ottund 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 piv- q5a6onui, wj9 dh;ytoted 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 qin9 ,t 5a6w;y-jo duhsection of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one erc5mkomcb2a pa*e84 rc .1 lj-nd. The rod is initially held in the horizontal position, and then rlckbc 8 .caa1p4r meo-mj5r 2*eleased 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 ML2/3.)

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;1mfc /esn)we ow, ei8 3v0zin to 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 speed does the wheel achieve, assuming it rolls without sliin ev so e8 3n;)wc/,f1zmwei0pping?

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 pulley of mas/z47(ssy ;vxksl u2yzs 7.07 kg and radius 66.0 cm. What i4lu2zy sy7s/(ksvzx ; s 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 frictionlsppfa)sda(9x5 s/ 9ygess disk pulley of mass 7.07 kg and radius 66.0 cm. What is the accelerationga(s py9f s 9)d/psa5x 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. I .pd18 zzoqo(dx1xe +wf 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 inertia of r4ycwco/41tgn 52kwd z r1gj, $5.00 \; kgm^{2}$ 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 kglbvb*0wn5, i5hw d xy: and radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined bwwh 05: nv*l,x5yibd 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*b,hlkn c) w)c rolls with a speed of 10 m/s. How high up an inclined plane can it climb before comc hb)l)*w kc,ning 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 nhdq 0hjr: 87dis released from rest and allowed to roll down an inclined pland:7h8 qjdnh r0e. How fast is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls withoutto t ..z8q9:qmuhaax8/ a eeq* slipping down a 35e incline t/uo athe*e9 qamza8qt x:..8qhat is 7.0 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 moq/hz0kn7wv :ymentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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

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

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

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

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

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78#

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An ice skater has a moment of inld9u3wqfjl0 9zl/5coertia 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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A figure skater rotating at 5.00 rad/s with arms extend2xiq,lvj 73kl ed has a moment of inertia ok2x3 jq vl,7ilf
$2.25 \; kgm^{2}$. 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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