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

1#

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Angular displacement is usually express in uno7s *kdc(plv5;u(ha7 1ydz tb its of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is exprdj di9p(q*wk9yk bqb cp) 04r;jr f)/oessed in 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 expressed in units b0co7: 3bg w rnkv2v*nof

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-round which is t kk80j lonf8 su*p,xo4urning at a constant rate. The boy is near the outer edge, and the girl is closer to the center.4jo8n puk 8xk 0o,lf*s 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 is turnik c jtoz7ewsqg t7 4l89.q9e mfa2htzz6.r(9hng at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the gr (g .hm9jl4 e . ahw727kts9zeztf6q8rc9oqzteater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which i;wp ju u lap+lca)l)7(s turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greujpcl+ap( w )l;l u7)aater 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 turni7enz -bpv adn,px) 8 qj;:k qhi;s/ah6ng at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the 6:z;a /dqve 7hsnxj8b p-ak);,nph q igreater 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 wh : g)a:o:aijhpv)-vn oich is turning at a constant rate. The boy is near the outer edge, while the girl is closer to tiojo ::: )avvp)angh- he 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 ni)anquv mkd*.l 6 xg8z+:-h2 mfi 0vsthat is rotating. Which of the following is an accurate statement?6 )zis:i2xgf. a*vhnmv dq-0 l8u+ mkn

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 deg/q71) s/iy 8kktghy-xz5 wg cpends 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 fo/2ap0 f 8q/anvzv ak+ggz09y drce is applied at the midpoint of the door;+a ykpz f/qg ndg0v09 a2av8z/ the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. vno/ 1de;2 j)2xpwmj 8kx/ewoo65hi pThe first force is applipwdj/ o2oie/5 2omh k81xpnj;x6e w)ved perpendicular to the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the dovlcmy(7. o7x4aezt:s or. The first force is twice as large as the second force. The ratio of the torque of the first t7cl(e7 vta.sozx 4ym :o 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 measure an object's resistance to changes inosjy42 u65tk.rg*mq ki..kdg j t2uw1 rotatirst5yqdukug2i* k2j 6k o w.tm1.gj4.on?

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 whersh0 s ;tnn/2pze both have the same diameter, but one has twice the mass of h;zn s/2sp0t nthe 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 spherce: budfl9( 4gz5/kfaes have the same mass, but one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of tb95g4azu :ffe /cdlk( he smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and)lzkga+1tj x zbuqj)s .5j/5q twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is)q5j)u15. j xkszz b+/jqgt al

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18#

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A uniform solid sphere has mase6c 7qgq 16f);ox9cl efnbjk 4s M and radius R. If these are increased to 2M and 3R, whaonqeec 6gk4f ;b9 l7xq)fc16jt happens to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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

If a constant net torque is applied to an object, that objecnc5 i1rbf 5sc6fc5 zpp/k*tw ,t 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 abo5x4,ktm -om/utes+ev cj hu12ut its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotation4t u1 s 5e,u 2o-xh/ckvm+ejtmal 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 u4b ;l9zmn1 pwof which has a mass of 10 kg and a radius of 30 cm. What is the ratinu9lzm14w ;bpo 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 an inc 3*kpt o yn3kdi/fq.:nlined plane starting from rest. The linear velocity oko3 y*itqn:f3/np. kd f the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without up8km tpj(oq6i94 0cdslipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on mdu9i8pkj0 c 4(otpq6

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 changes when a net externv .-kly*3kfsfn*nkc5yp ddzyda 49 (9al force acts on the system." This st94*k.y3 kyn9 vff-sdnp*zk d 5 (cdalyatement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of twlaglhu90 -tfin qu52l4d2 *particles change without any change a20ntgll-q9t h5uf4 d liw*u 2in 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 elliptical orbit. Ignore any friction w w ku7iksp(h)+awi1 ,)4kf(psofb g/ phich may be prese (/g w(a7kk ,ff)suwsbh+p4)i opkpi1 nt. What happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As th-cte qxifx 6+ ;yr/ nc-b(iw0he Earth moves close to the Sun, then which of the followin y hbx( i/qw; 0ncc-6tfr+ix-eg 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 hisq9 juz9r qi*.+aif . y,ebm:rh outstretched arms close to his body. What happens to his angular momentum ha .i.q,fujey*r+ z:9m9 qbri 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#

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

An ice skater performs a ( bqsxfes c/2x4k a00apirouette (a fast spin) by pulling in his outstretched armskfq4b02s / se(xac0 ax close to 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#

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An ice skater performs a pirouette (a fast spin) by pulling in sz:akms ()lo1 his outstretched arms clokozs) (sl am:1se to his body. 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#

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State the law of conservation of angua am5.po0eau4z i6ws+nd( w*zlar 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 neaqgi2p 8 5ptwd fktfu5in- m379rly circulafd 9 i t8k-nui5 5t27mq3fwgppr 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#

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

The second hand of a ch .7o7o q) qftvcrx.a+lock has a length of 0.30 m. What distance does the tip of the second hand swe7hqv+7afoqcx ort. .) ep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25 revolue; -w/ *wcjp2jls /weztions 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. What il pkm)jsf4 -8pt-yld/d f4)ms s the frequency of thesty8m4j)kp4 l m/)ls f-pf-dd 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 neutron star) emits pulses at a frequency of 0.40gh94o hcgxhjz-,m 4-u kHz. The period of its roj4hxh zm,49g-uc-gh otation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rota2dan9f 8 )o wu,aefo/ates at 45 rpm. Through what angle does it turn in 0.20 )e8/9a,oufoa 2a dfnws?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turns at 1500 rpm. s2x ,/tqgs)c k fnq:n5How far will a point on the outer rim move ingnq,: 5ks xt/n2)qs cf 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniformly through 2.0 revolutio08hd naz5 yd1p+ybo -jns in 4.0 s. What is the averazybo h1p+ 0yd-5j8ndage angular speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly throu,u/4 8o g0 ipyfddvy(ggh 2.0 revolutions in 4.0 s. What is the linear speed of ui8(pdv / g4gf0yy,od a point 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distanqpuif r 78auyd7kn)3:ce of 6.8 km. The cable which moves the)apn7 :yd8friukq7 3u 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 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 mh2xkeopky )/jj sid0 ,+ 2di-a is rotating with a constant angular speed of 2.0 rad/s. What ,ia2o)pkxe+/j s 2-ydd jk0hi is the linear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutte nsxl; ( lcjiy/,xd86yr is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linears/x6 8(n;xyly, icjdl 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 rotati86b-yh a,wq7mwacltvp. *ncv3t 0 hq 9ng with a constant angular speed of 2.0 rad/s. What is the cent7wa9qb*h 3ch-plmv v ,.ctwn8y0a6 qtripetal acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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What is the centripetal acceleration of a point on the perimeter of a bicycle *nw0sk81sinq pzxq6z. d6a-qwheel of diameter 70.xn*8qpkq6z in .d-a16sqz sw 00 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a circular, rotac s9(01nxk( m-avegvsting space station (r = 1000 m) c 9m(v01s- ekxg(as vnrotate 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#

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A car is negotiating a flat circular curve of radirddn 8 o;r/uaywbl 9j,;1n nr-us 50 m with a speed of 20 m/s. The maximum centripetalr a/nlbw; ,jdn9-8dy; ur1rno 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 b6w(3sp n cj4xgi+ i0rradius 50 m with a speed of 20 m/s. The maximum centripetal force 0s3 jcp gi(b6+ nrx4wi(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 around in tm/,.:6bg7h3a1 .ivr ll8l sqkagakp5bgo;c a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if t7m:1 ah 3bl8sa ;,g.lvrbgka iopc q/5.gk6l 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 kva:k;ael(3 yk *lh -csg and radius 9.0 cm rolls without slipping 10 m down a l(e :*-s3lkah ycvkl; aane 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#

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

A wheel accelerates with a constant angular acc7 7 8dikaiy/mfeleration 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 angulag,kk e xzf72z/r 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 automobiletmu)+z)* q 6ud bh4ajx;r fh8hqz zm9) tire rotate after starting from rest and accelerating at a constant angular acceleratio;q zj+9xru68qdmhzbz4 ) u)m*ha)tfhn 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 zpddi;nw(: a :em7nq-acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s decelerates with a const9,m iu9q96k,pqk 8z1vzn btxpant angular accelerati 9 91p8inkvm,q z9tp kbu,qz6xon 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 awu:jkoc1nw4 5t)zjz4 nd reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. Whzkwc) o514 : 4tjuwjznat is 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 doijzr qbj806,v /*dct twn uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in tq*6b0 tjcz/8jv,rd icoming 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. v*9b7njhl -kdwf0 j8y40 m/s to rest over a distanch0*-k9 bwvfljj yd 7n8e of 115 m. What is the angular acceleration?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

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

A wheel of diameter of )ej y q8aefvuu 6g5,+i68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to the stopegy afe5juv)u+ 8,q6i ?

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 laborator*92j ould ns3jy rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular ac l2j3 nsudj9o*celeration 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 whee x*w1dmqkhpo 38/1f rel require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnit1/fm1kp*r 3qe 8dowx hude 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 ine)s7s thdwe/oi47 h eb/rtia $3.00 kgm^{2}$ 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: m0kz 67w( d; hcq)u0yz kxx-yqaass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about th) yyq0x( uka dw6hxk7zq;0zc -e 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 nu. (m-sp4 booa frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a forop m4-uo.bsn(ce 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 abg+*( 3i:2nk)wlcuf/bt orol w out 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 = 6.0g+(:rcw2) fo ol*3t/knwui lb 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. The rod is initially held in th b; (0v5 uglo-zrwmvk;ov8 6noe horizontal position, and then released as the free end is allowed to fall. What is the angular accele5kloz (;v m6gbrov08uw;on v-ration 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 to be a rin xg,)nvd1hk qfen e+ 1ah0gvn/1+7zmqg 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 ag1namn e,dhe1f/ 0hvz1n7gk qq)+v+xchieve, 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 wrv2vxq9 o9n* qtapped around a frictionless disk pulley of mass 7.07 kg and radius9onvtq v*2x9q 66.0 cm. What is the angular acceleration of the pulley?

A. $4.49 \; rad/s^2$

B. $7.98 \; rad/s^2$

C. $9.87 \; rad/s^2$

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped arvein0zkqm8 z6ff)/k8ound a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. Wh 6fivnzk/qk8)z me0f8at 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 a p,ybb0.lu (pused to store 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 inertia ob g /eq0zj78 1sz.jp8gm uvyr:f $5.00 \; kgm^{2}$ 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 start-:wi6fj/br 8+hagatl- 1vyrcr86o wq s 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 o 6ro8-iatc1j+ 68lwv:ar/hg-qbyr fwf 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 0.01xzka6 j96 c :n)u-f,svj*tuga 0 m rolls with a speed of 10 m/s. Ho c9 guzk,s6t:-javnj f6)a*uxw high 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 from /rrx-xtbif1tyv4 /1f vygn2 a4a (3bmrest and allowed to roll down an inclined plane. How fast is it moving aft vb1ngit/ryfxrf- b x31m/vta4a(24yer 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 rs ca:9ze)bcx a+ux/n- olls without slipping down a 35e incline that is 7.0 m long. Assume it started from rea/e-b scxz a+:)x9 uncst. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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Mark Problem

76#

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

An object's angular momd,u4tsn/7dlm* iu a6ylj5w r7 entum 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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Mark Problem

77#

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

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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本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
教师可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力

Mark Problem

78#

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

An ice skater has a moment 3;h6cnnxp9i b of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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Mark Problem

79#

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

A figure skater rotating at 5.00 rad/s with arms extended has hmao er tzgyvl)d-;5; x(s8-ea moment of inerti--meeszr5hx;toy8l vagd;( )a 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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本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
教师可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力

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