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

1#

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Angular displacement is usually express in un-p mhbyc ;4df7b fj,w:its of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in unezn d+d x/j-a+g/)geaits 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 ffx*zu*0j 9gqc bz5j;units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which isu)d z2vam (ma1 turning at a constant rate. The boy is near the outer edge(uma)av12dzm , 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 whpn cajw9 es/-pv0o, h4ich is turning at a constant rate. The boy is near the outer edge, and thecvj pa4s09o hp/,-w en 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 muh (x;s5+ beunz:l:bjerry-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:lb:5x b;+nuej sz(uh 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-round1+ay99 gezjb y which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who haay zjey9b1g+ 9s 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 2h/* 8 t)c*r(n/waoaqm2/c nclcygoxwhich is turning at a constant rate. The boy is r n2y/ gq(wt*)/chco/aclx * 2amnco 8near the 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 that is rotating. Which of the followingkscc - yj-ffz b1y+u,f8.o 74 ejyd8fv is an accurate scfv8f,ck1j y-bsf yo 7u.8ez4d-yj f+tatement?

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#

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

Rolling without slipping depends ol mjtzx/+,uk,(tw ari 7 k1:uin

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 5i.+qv nklwao..qr 1xthe midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Whi5vroq ali ..+n w.q1xkch 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 doorknob. s ;myk v1-6 62zkzbc3) e).wsssyjh faThe first force is applied perpendicular to the door; th3 z bsvz)e1c2w;.s)ysa 6 kks-h6 mfyje 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, perpendicular to the door. The first0 (lun r-lr8k*zf9 qxh6att b90s4 mna force is twice as large as the second force. The ratio of the torque of the first to the torquenb0th ra4-l n6zum9rk0qxal* ft89 s( 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 resistbo ;56gz6zkn/grrix 0 ance to changes in rotationb rik 6/oxz6g5gn r;0z?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniformc x6d mfgw+i9 -iy:)wd solid spheres where both have the same diameter, but one has twice ti) xdy w-i6mc+f:wd9g he mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the sm46 3jm1obuep vegd6 0ame mass, but one has twice the radius of the oth6oeveb j4dp 63gmmu10er. The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mfwis qmh/bntq f /d /8,;m1h7eass and twice the diameter of the other. The ratio of the larger moment o8/7mdqfb/ f;/1 iqeht wh,smnf 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. If these are incu y-cx1jod0asqaik3 mh/2 xmsuv0++/ reased to 2M and 3R, what happens to the+x-2 y/sqx0shj dciao1/uk3m+ mau 0v 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#

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

If a constant net torque is appli*ox sb+- k(toq)p9da ked 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 o hik2jeiwy-0 5xwwf o/u,iu0.f a solid cylinder about its axis is given by 0.5 MR2. If this cyliief0ijw xu2y /,u0w5i .ho-wknder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which hhnyg2 t;mra l0k06q, uas a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of ngy 0karuql; ,6t0 2hmthe 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 wit43h nq*n5j,4rcomvi ghout slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline gim qo4n45* , hrcjnv3depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without slipping down an jtl wp-bs,-is) +6+ hlig*en tinclined plane starting from rest. The angular velocity of the sphere at t*lit tngwj+ hsl+s6e,bp-i-)he 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 particles changewdvc)qd sv+6/ s when a net external force acts on the system." This statement v)w6qvd +/dsc 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 cani-(*3c9hlf qwmd0k(l w(zsr v the angular velocity of system of particles change without any change in the system's angular d zs l m(kh*3r0fv9w-(liw qc(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#

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

The Earth orbits the Sun in an elliptogh6+wqfq 3 ttar. ;1nical orbit. Ignore any friction which may be present. What happens over time to the Earth's angulh ;raq6g. 3qtft+n1owar 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 theo9 ,f6oexqpc( Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Earth about the x ceo6(f 9,pqoSun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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

An ice skater performs a piroue*u8xc;4e 5e,lt gmx/n8 mev (k/pmxc ftte (a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about 5tfn(8;p8vu4mel* x k/exem/ c ,cgxmthe 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 spin) by pulling in his out5 .5na bs+gxl-;ch; 4eksoha lstretched arms close tooga5s lxh 5b;n +;lks- aec.h4 his body. What happens 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 pirouette (a fa) ipxx;ud -m1kzj+a/sst spin) by pulling in his outstretched arms close to his bodyijs1uxd/;z) - xm pka+. What happens to his moment of inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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

State the law of cons qkd484mzf bu.ervation 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 the Earth travel in a three month period in its neewou2vg00c40 ymp ko,arly circular orbit about the Sun with a rad4veck0,00g2ow myuo pius 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 clo43c38 pddlj occk has a length of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes anddlo3p 4jc8cd 3 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25 re y8(9 9l0uan 1xhc tw*-fxyburvolutions 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#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. Wh; aks/sdue q,(at is the frequs ke(sdauq, ;/ency 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#

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

A pulsar (a rotating u;,bcwhqh 96x neutron star) emits pulses at a frequency of 0.40 kHz. The 6 w,qx9h;chub period of its 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. Throe49ptwa.hy6 m ugh what angle does it turn in 0.20 s6twa p94hme.y?

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 rpas d9hj(nc8 )stt-q2km. How far will a point on the outer rim move in 2.1 s? ks98aq-dh j)(tcst2n

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 throu;-)x-ma , ua+d( whezybi(h zmgh 2.0 revolutions in 4.0 s. What is the average angular speed a-du( me)mwix, -(;zzya +hbhof 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#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. rvdlcbpn(:lk(0 l6z 6What is the linear speed of a point 0.10 m from the center of the wherlk6n6cd v(: p 0(llbzel?

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. Tgyjb y0(od(5+8tj vv the cable which moves the car is driven by a pulleyvy8tg(+jtdy ojb50 (v with 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 constant angular spee q my6og tq7x/1kh:.)y7 p.ram0cr-rih lv3kwd of 2.0 rad/s. What is the linear speed of a point on the /pqxrmc6-iqkv7.r3g.a oylh:r)01ht 7mw yk 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 cutter is 0.16 m in lenglzb dci ( nfl6w;yoq37x 6r3b(sngn16th. If the motor rotates at the rate of 20 rev/s, wha( g663; c(ny 7s dn zirwx1nbflo36qlbt 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#

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A wheel of radius 1.0 m is rotating with a constant angn7/bkoimrvg tb3.e bdgk qyy0 4-m6:8ular speed of 2.0 rad/s. What is the centripetal acceleration of a p4t yk em:gb6kog3bv 7 m-i/.n 8qdyr0boint 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 p cqu8kc. *qkm7oint on the perimeter of a bicycle wheel of diameter 70.0 cm w8ck*cku q .mq7hen 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 circular, rotating space stawy z4rtv9+(qntion (r = 1000 m) rotate to p+qvy(w rn49tzroduce 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#

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A car is negotiating a flat circular curve of radius ni+9 bty 5nsj0ee9*ds 50 m with a speed of 20 m/s. The maximum centripetal f s5ny +dn ie9bets0*9jorce (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 flatl z )r);rml-yb2 doy2a circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) is rm)r;22 zoa- yll y)db$1.2 \times 10^{4} \; N$. 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 b 1pl.an54 vm8jkr2af end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear spn.25ra m41fvpjabk8 leed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slippingn jk6 sr(cp42g 10 m downrjg 62(kpsn4c a lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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A wheel accelerates with a constant angure ,yvq)bt3gz6nik3f61 qasgkq 3+i( lar 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 angular a:cm82cs t ifa8z*dex8h20 , pqf2gztvcceleration 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 rotate after,n+z5)mabwf lo 0rd7u starting from rest and accelerating at a constant angularaub lr0f 5w7z) om+,nd 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 a))ig-xcr/h;)to i edmeue5 :-r z. cckngular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s decftb 8- yxgp*n: uht*9ielerates with a constant angular acceleration of :hni* ux-fp8 gtt*9by$-5.0 \; rad/s^2$. 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#

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A wheel starts from rest and reaches an angular speed of 6.0 rn*c(6h(k jz rxad/s while turning through 2.0 revolutions. What is the kr(6xj*zhcn( 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#

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A wheel of diameter of 6w)noqum1p y*;;g f/r6(bnbu t8.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 / rnfbgtou( quy6*1w;;m )b npm. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows dofaef,r e(v 1 ncs3z9)vwn uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acc cv,91)(rvfs 3eanf ezeleration?

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 296bx5ybbbx sj/k-aw.40 m/s to rest over a distance of 1 2-j9kbx bb w6a/by5xs15 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 rotatesj:o w7(t am qx0:lp6xj at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at axaj(q6o j:mwtp:7l0x constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening too4wk( c1h uf9 m.ikdp* a torque of 90 Nm. If a 30 cm long wrench is used, what is1 uf(i4p dwc9 mokhk.* 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 inm:0b plb1zpf; ertia $3.00 kgm^{2}$ 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 the origin, pf ;fq-0 y err n+2jp:xrjlm/7fnl*1o mass 2m is at x = a, and, :lnn;m fy0*rj7 pjrlf-q 2xr1o+e p/fmass 3m 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 cfjv8vrm7q,r;)xgp7s(c ga ; 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 = 6.0srrfvc; xcj)m g7vpq(7a8 g;, 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 p s t)-8f9adbvrp mj.(s)qd(ih ivoted 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. How many radians does )8tfsi )a(qhvj-b ds.9rd (m pthe cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. The rod is initially held in the horizo b.lms)8l z4h1-ramw ;xwd ko,ntal 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 w41 rzx,lb.a- wm;ks homl8)d/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 kg2z,ii6spwluw)2 vk n 5. 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, ass5i sui,2npzk) 6 2lvwwuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley ,pn9vdyu( obplz :h+5*l 2huz9cc 2b:kq es.pof mass 7.07 kg and radius 66.0 cm. What is the angular accelerationzchlz*u2(uhp q9:ndysk o bb5 p+p,l:c92v.e 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 ropeo kx6 3thxx*d. wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. *xxx td36o k.hWhat is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store energy. If itt0kq.,str ycix unzv)2 6v0b 0 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 inera3yvb,2- 7 /g3g okd1fqynf3wqp5:jyrn ztr*tia 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 stuz qv blz7.501ho a-uf3d nq3qarts from rest and rolls without slipping down vf133qnq07.q h5uzza l-b odua 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 0.010 m rollscv2u-9mchq 3e.0q -ftqcdf (e with a speed of 10 m/s. How high up an inclined plane can it climb before 2 d--qv3qtf0u hfc .qc9m(eeccoming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is released from rf xvsui86l / tt/h)+wiest and allowed to roll down an inclihi)v 6tt8wilf sx//+u ned plane. 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#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without slippi mfcj7(j/*nnclzp mk6b6 d0,ceda6 1vq7tp *ang down a 35e incline that is 7.0 m long. Assume it started from rest. The moment ofjap61cq mfd*zbc/,7jlcn mv( k7t06e*d anp 6 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 c9 mq5,dcyf l3ghanges 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 inertia qo ymh v43;*u3hxs0ma of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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

A figure skater rotating at 5.00 rad/s with arms extended has a moment of ineby,zhv4f:xw u ho-)0y )vow.(opn(gm qz)h:krtia ofwzh .ohpzyvw)-obvk)4 : hq(ny:x0gm)u, o (f
$2.25 \; kgm^{2}$. 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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