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

1#

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Angular displacement is usually j0g(9u/l8 e:bpu3zq f ;d xieqexpress 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 units u8kic; aei:n*vv. ,h5aye3frof

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 9xz(q2wgf5wie2 z321bscbfyp2s5i j is expressed 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-(uo 5(8dka bcsgo-round which is turning at a constant rate. The boy is near thku5ad 8o((sbce 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 riding on a merry-go-round which i5owj lry5 3f3os turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angulaf3o 5ly5rw j3or 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 co+ppn zqskjk3zkog4v22c , 8q2nstant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greate g2qn+qzpjov 8s4kz 32 ,kkc2pr 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 turnin.vb:mb.9r,ay :k ojq rlis5 3kg at a constant rate. The boy is near the outer edge, while th mv:i 9 ok:5,rj.3blqka.s rybe 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 turni586pabwy :u .4u akztoj kc+f,ng at a constant rate. The boy is near theyj4k6.ubwazc + 5o,8u:tf pka outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body tha .c-a,otqvy 4lseh p(;*:wkwat is rotating. Which of the following is an accurate sta wvopcsa( ;wy.*-:hl t,aq ke4tement?

A. Its center of rotation is its center of gravity.

B. All points on the body are moving with the same angular velocity.

C. All points on the body are moving with the same linear velocity.

D. Its center of rotation is at rest, i.e., not moving.

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10#

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Rolling without slipping depends obb g2 m9:a1jw9e+ y9fyq;eipy n

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 mid so;8lbbc2we*sh;yj* 0bg 3yhx2:qxjpoint of the door; the second force is applied at the doorknob. Both forces ae :h*sby03 8;gcx jjqsx byw*lb22oh;re 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 at the d aus9qtp*ahup,*6ub 3oorknob. The first force is applied perpendicular to the door; 6qa h 3bauu,p9us* p*tthe 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, perr60)pvq 5hdtyb )xuupdv 9,3dpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the to)yur6)v qt509hv ppddb,x u 3drque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's rdszy :mqbt *j)e+8 6z s2zmoo-esistance to changes in rotatio6b m- esotm*yzj)+z: s8qoz 2dn?

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 diameter, b 3y9 r:a ,bbwa.copypdf0 1n9cut one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment odcp :,yb. copwry0a91f 93 nbaf inertia is

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16#

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Two uniform solid spheres have the sam9c2 6 m+xi.gjnhpef7 ce mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller sph+mhfpg .cxn7c2 i6 9ejere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform soliiv82lq)s,d*m +zro7url n.p cl6 vsk1d spheres where one has twice the mass and twice the diameter of the other. The ratll8r dz )m ui.1p7n*lvcsrk+,s2 6vo qio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. npyj ;po./a(r If these are increased to 2M and 3R, what happens to the sphere's mop(onr ;ay.p/jment 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 i3e 1*8ck(how nmyu s2ts applied 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 cylindez;+6 ggnziks h; vq/,4rpn7 vxr about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to itkv n+gz pnxsz q47gv;6 irh/,;s 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 ams q/72ks0sq3(ofl)bb s kic, mass of 10 kg and a radius of 30 cm. What is the ratio 73qm b)s k02 (sikobcq,f /sslof 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.vyaq6qtds+pg 1dbg 9 19t d.a and radius R rolls without slipping down an inclined plane starting from rest. The linear ve a.gat. bv 61pdy9s9+qdt1qgdlocity 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 radiy) :l.fygrpf.hrs2 b oyxh4xliwiye,45b) *,us R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the botx: f4psrxo 4,.2i)b.y ryif,5 bw )lhe gylyh*tom 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 momenett i3.vg qh5)3fo)hc6t * zfutum of a system of particles changes when a net external force acts on the system." This stateme5)c t3u3tte qg)o vfhh*zi .6fnt 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 cugje- dq:/c. 1jjlm b9an the angular velocity of system of particles change with/ djue :gbq1ljcj 9.-mout any change 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 ellipticag: 7scfnww,k zzma/91l orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentum a cw/k :,fzs gn1maz9w7bout 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 mgu5*g590fcc1/dvr tj (wfm ccoves close to the Sun, then which of th9jt1g*wmu 05 5cfdrg/v(cfc c e 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 outstrehe :ckc+u s7j3c *h8bxtched arms close to his body. What happens to his angular momentum about the axis of rotationcukx+h3hs: 8c*ec7b j?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouette (a fast spin) by pulling in his outst1om xpmm +/) 3is2uk5hzspzh1retched arms close to his body. What happens to his rotational kinetic okh2su zx1 mmszmp/)+h5i p3 1energy 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) byage:dkr +*s6s pulling in his outstretched arms close to his body. What happens to his moed6*:rs g s+kament 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 conservam:k)u c0)ybjao n72. g) tpxfbtion of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does tqxd .7wdb+u1q he Earth travel in a three month period in its nearly circular orbit about the Sun with7x .1dq uw+qbd 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 vz0sqk 5bt e/-length of 0.30 m. What distance does the tip of the second hand sweep through in 3 minuts5te qk 0-zbv/es 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 revolutions per minute eque3r1p*yb xs; l,)nvzh l 3b/thivalent 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. What is th+g 1mqwt dx:b8e frequency of the whee b81 tmwdx+qg:l'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 neutroneuo-cyigprwa84r:- f e y-)k3 star) emits pulses at a frequency of 0.40 kHz. The period of it uerak : eow8-4ryyg-p3cf -i)s 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 drl7yluv017fv oes it turn in 0.20 llv y107urfv7 s?

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 ativ jogr909pbon e)7 z8q9u0gs 1500 rpm. How far will a point on the outer ri v pugns89)ojg7i0o ezrb0q 99m move 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 revou1n0-vped nv4y j w50klutions in 4.0 s. What is the average angular speed of the n uk1vye5pwn0jvd- 40 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#

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A bicycle wheel rotates uniformly throug :3f viq3byoy mm 4 )qaj;91jv),ujmxih 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from thqii; jjuyx 1vovm yq9,b3j 3m mf)4:a)e 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 km86uc2 yxav5pgu*xk . bf7cz, x. 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 t82uyzgk *c7x. xbvp,6fuc x5a he trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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A wheel of radius 1.0 m is rotating with a conb3xo ytwkkc n*5)-u *vstant angular speed of 2.0 rad/s. What is the linear speed of a pointwxn*yoc)5bu -k3v * kt 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-powereesm3:yls jjy 6m 5y3bco vkzq)b93d*7d weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate lineavdjmey3:5 o 39ly7s)3bb*jykc qmz6 sr 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 consta: /g+qh tfig3rnimt5dg3:yp9nt angular speed of 2.0 rad/s. What is the centripetal acceleragf3tii9:n gry+mqdt 3 g:p5h/ tion 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 point on the perimeter +7pojbv ; 67o8 x*ta. )wgo7shoxhogtof a bicycle wheel of d xa gh8xtv+6* b7w;gj7o7ootoh.p) os iameter 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 (eo),jr afb l6per minute (rpm) must a circular, rotating space station (r = 1000 ml(f aj6b eo,r)) rotate to produce an 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 of radi+y;e2f npk+ i,l+ drrwus 50 m with a speed of 20 m/s. The maximumk rn +y+e2 +d;,ilwprf centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radiu4,b2+ukjpx r6 rhfnl:z4nh y9 s 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static9 zf+6nh k2yxu,r: 4lp4rbhjn 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 0.7 3 gnnxc;qlf/b2ph9om1e ;rd ;50-m string, is whirled around in a smooth level table. If the maximum tension that the string can with /fbc23 1; xhm9np;dol;n gerqstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of masj*m a5)l n qrwx7wd1zukd 9ar9*n 73yas 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 wkalqz*d71jd3n x7a)9um9r*aw5r yn 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 ad22g(iv fm0qsngular acceleration 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 angula6k4by* tue2zd l kp2yyk:)eo0r 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 radius automobile tire rotaf4ltqq -i8 6ydte after starting from rest and acceleratintlqdiy4 -6fq8g 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 accelera29y vj)hwq c1xtion 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#

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A Ferris wheel rotating at 20 rad/s decel- sahwe/bft t l02c-6nerates with a constant angular acceleration -wac -/f6h lent20tsbof $-5.0 \; rad/s^2$. 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 restw q/f,*3 /qtr)hqci3c-gmx hk and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular accelh c 3wq3mk-/gcht rfq/, )*xqieration 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 gocs ;2(b azptc, ,nl*68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total numba 2pnl, b(tcgc;,ozs* er 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 uih0d9.agl3 u.bva h9 )rng-hhe 5 j1h-pi4ldxniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular accelerati4h.99d n i35xjb.l pi )r-h ve0halggu-ahdh1 on?

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 uniil7yet0( qfj0formly from 8.40 m/s to rest over a distance of0eq (f7jtil0y 115 m. How long does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational spe 3y yf*9vs:uto 2qrr(ved of 3600 rev/min. When switched off, f*:vs t9u v qyoy2r3(rit 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 requirexi: w/9m 0sek nr2ll:o tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the2wl90n ise: lro/k:xm 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 2n(v) au epnkq-mj p(-$3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

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

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

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

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

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63#

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

A triatomic molecule is modeled as follows: mass m is at t+ak u(9ldy3zx0xa 9zfhe origin, mass 2m is at x = a, and, mass 3m zzyaf3+duxa(09xlk9 is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivote d/5(4pdcxond4e: 64x5ye yj 1is mtind about a frictionless axis thought the centern 6/iiyxd 44pnt5edcjym4 x:o1e5 sd ( 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 cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted about a kl 1* ) r0/ ldjp mns*bro89wvgg.9viefrictionless axis thought the center O. A rope wrappeo9 ) 80mkp bjlel1svrr*9n/.vggiw* d d 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 rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. T4ac 8h ce;g ,ad-icmt,he rod 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 i 4-gaadhc cmt8,;c,ie s ML2/3.)

A. $2.45 \; rad/s^2$

B. $3.68 \; rad/s^2$

C. $4.90 \; rad/s^2$

D. $6.75 \; rad/s^2$

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67#

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

Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kga1x/2d;iwx/0 kp vrck . Neglect the mass/wx02kr1pv/k d aix;c 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 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 di59wv ii:xnj- f 8.+iklig;na,t nv bx2sk pulley of mass 7.07 kg and radius 66.0 cm. What kivn .t+n;5g8a,i:9x-f i vxnli bw2jis 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 aroezrn )4y -gw+pund a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is -)ez +rw4ngyp the acceleration of the mass?

A. $9.26 \; m/s^2$

B. $2.96 \; m/s^2$

C. $6.29 \; m/s^2$

D. zero

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70#

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

A rotating flywheel can be used to s t7fp tcpnhjw s8l1( .k1jve28tore energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inali0+b ; )jnodertia 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 anddat 1 9tlr;+4zif:.w ys+9xw- rgirzk rolls without slipping down a 1.0-mafy-dwr 9i+wr+r4 .kxl z;9i:gtts 1z 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 0o3 v(kdl vg9kq26xq*w.010 m rolls with a speed of 10 m/s. How highdvvg w6 3k2 q*ol(xqk9 up an inclined 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 is released fro 7i dvtd3 ,))vnwdzb 6ywtb29mm rest and allowed to roll down an inclined plane. How fast is ,tvnt3yiw2dvbw79 b )ddz) 6 mit 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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A solid sphere of mass 1.5 kg and radius 15 cm rolls wfg u2q2 v2oxd7 zrt s;lka9yjhfs889 +ithout slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment o2 fv xtgf8q8 2r+l;uyajs oh97dk2zs9f 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 5 fw (pp hpjyq34g1 5;h0rumvvchanges by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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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 )m*jniv 7+ dh5o )jg ypm4x+rqinertia 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 rw lw oxz)qk19;ad/s with arms extended has a moment of inertia 19w ozlkqwx;) of
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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