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

1#

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Angular displacement i c- r-.j 2g.fjahhouc.s usually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expqdt1pg t7 2p6z+i2mnb ressed 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 exuiqb,) +0eek ppressed 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-go-round which is turning at a,qk3arcpyqtg+z -p q bh,7.6 o constant rate. The boy is near the outer edgetcr pg y.pz 3o+6,qq hq7-b,ak, 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-ivq 10ahrh*s; 1e vl)lgo-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the centelhv;1 a1)e*i0qs hlvrr. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is tptgg(els:dia-(xvrn 656s (d urning at a constant rate. The boy is near the outer edge, and the girl ivs6( s-itpal ndx:(dg5erg6(s closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which w /3uo vfa 0so29m8i-x8bcnsqis turning at a constant rate. The boy is nf0 n8 ais2- 9/uov8msqwcxo3b ear the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry2dsoao8dc2 / i1rkwy 9-go-round which is turning at a constant rate. The boy is near the outer2r/ky1soadio8 w 9d2c 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 o -fm.)ljxmx/r;4 o* qdzu +hpa zy94lfollowing is an accurate state-d4 m hm9qu/zz+al) .oxjlxpfo*yr 4 ;ment?

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 dxhjtdiu1)eq/r9qc:o 97y9xf+iy ,s e adx;5fepends 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 fme8 z asn(tc26irst force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied 6 e8cmna(zt 2sperpendicular 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 appl8trjgzgg . +:vied to a door at the doorknob. The first force is applied perpendicular to the doo+jgg. 8r zg:tvr; 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 door. The first fo :3.7ppvk -znzc* tutfrce is twice as large as the second force. The ratio of the tnz:zpkt cf t*-vu.p37orque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resista5h-kb)ww6 jmmrkrr75n-9 pxz e/q,rcnce to changes in rotatio-/w,rhr qrk pm6z5)x-59n mc7 kebjrwn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform soliddnv;y gd*)s 9i spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment o d)g;v* 9nidsyf inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one g.zz hm .ty,vi*n5* aohas twice the radius of the other. The ratio of the larger sphere's momenv5ytznzi *.oha.m, g*t 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 ssbasvi26im apuye) (./7kvd-olid spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that ouiybm-7v(svk.ie 6)d aa s/2pf 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 incr1pldw wcn*e-. eased to 2M and 3R, what happens to the sphere's mom*-el1dw c.p wnent of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, th( f,e9ow x vo(.gw9*aqjqj z1iat object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about itsbv xow w qi9t**lq2zb55qm(7 ky8kb0h axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotationallqhyvb(k*k qz7q598x2t iwo 0b*m5wb 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 motorcycl 8hn9die jzu-4;wpca3e of mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio odncpe94; ajw3i8 uz h-f 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 r5o )abovq r5sl8hy o0;: kzj/wolls without slipping down an inclined plane starting from rest. The linear velocity of the spher ;:5wlh vo 08sbka )/zjqy5rooe 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 slipping down an in ucd x 4.y9s/xqg3ucr0clined plane starting from rest. The angular velocity of the sphxx.yucr3ds 94ucgq 0/ere 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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24#

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"The total angular momentum of a system of particles changes whe m yj /ajmpdbd+:k81m8n a net external force 8 dm jjmb1 d8ya+m:pk/acts on the system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances cavnp ouih 8md;c7- o3x;n the angular velocity of system of particles change without7mo -8n;uhiopvx c3d ; 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 elliptical orbit. Ignor pu. 3)mfia* ,puxboivk):7uk e any friction which may be present. What h,3pu k kui ofb))xu* vp7im.:aappens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earth movesc5aua8t 7tn/1 au -ovt close to the Sun, then-acnat/va 5t8uo u71t which of the 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 oum ,5o*r o;oq glbuo.gi,grb/ 6tstretched arms close to his body. What happens tog ro;,uoi rmbg,5*bo6 gl./qo his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouette (a fast spin) by pulling in his outstretchz sn/ 7xc+/vfh;ce-e(o6 d jut/ond2wed arms close to his body. What jc-f+/n/62 sc;dvn/7eweohzx uo(dt 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 r + fcivsy./5zwp67sdin his outstretched arms close to his body. What hapv c szyr+7dsi p.5/f6wpens 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 conservatio 7n*-x modh/brn 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 itsmz)e9pdc,2r d nearly circular orbit about the Sun with a radiuse,p9)2dcd rzm 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 l 7t4pl9 o7ecdkength of 0.30 m. What distance does the tip of the second hand sweep through in 3 dk eolc7pt497minutes 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 revolutiongw aldg s8rc1jmyy.- /:2sj 1ss per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revf8wnebd3u m6 (olutions in 4.0 s. What is the frequency of the wheel8n 63 u(dfwmbe'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 neutron star) emits pulsec9awlp wcc x;;wlm7b.t7 9 1f1ywpv(zs at a frequency of 0.40 kHz. The period of its fcwp1w(;lz 1 9xy wva;7wcm plbt9.c7 rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle does it turn in gd:-m zbt67v wma9 j9b0cr m0xov,ll70.20 s?vldxwmvgt 99b6 -m,c70m 0: 7oljbzra

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far (q xyeb0wpfd8zqca - *by-8b6 will a point on the outer rim move in 2.1 8 q-yxwy0bbpb(-d fcq8*z6aes?

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 revolutions inzmn oqk(cc8i7k bn- y c,m2/u* 4.0 s. What is the average angular speedz q8 ik(7u-mb,ckcoc 2n/*nym of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is u)t d kn9m4c7d0rq f2lbge48qthe linear speed of a point 0.10 m from the center 9g) qldkr2b 7 4qctd n8e0f4umof the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distance of 6.8 km. The cable3cqjep7 +x 09xfqtr0l which moves the car is driven by a pulleyq03c7 j+qxelxtf0pr9 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 speedn76pcuz p *m1k98eyoa of 2.0 rad/s. What is tak9 u7 1 mye*p6czpn8ohe 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-powere ob(ndn .,.-ack x-hmcd weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speenc k.baod-xm-.hn , c(d 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 constant angular speed of 2.0 rad/s.+af/sfh v- br2 m7wa2f What is ff+rwf2b sa-7hm a/2 vthe centripetal acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetal acceleration of a point on the perimetekv0qk y+3(e5o/h qt, lhemc9jr of a bicycle wheel of diam te9y,l mkqko +/jcq30(5 hhveeter 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a circular, rotatinfi6ka5w0fsx(mj( w 7qg space station (r = 1000 m) rotate to produce an artificial gravity 0iqf65wfsm j(7 k(ax wof $9.80 \; m/s^2$?

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 radiuo lfe8kv0(j* ys 50 m with a speed of 20 m/s. The maximum centripetal force (provided by yk flj0*oev8( 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 cthua,xql;r-hezl * o7g7e 3 h*ircular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) ehhea rhllg,*zq-o7 x3*ut;7is $1.2 \times 10^{4} \; N$. 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 thev,f n7j2o1+b7yg,x m-tjk3 k7bf jfyc 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 speed can the mass have if the string is not to bre2yc71-,x bf3tfjj+fy7 j k 7bmngv,koak?

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 slipping 11tm5faoc /qg ,0 m down a lan 1,afto 5q/cmge 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 apku4tkc z4sy* :z c/4+m9oyy s constant angular 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 acceleratj:+zn vw2tp i72pn l2si4 bv*zion 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 0.300065su gz0ydc l-m radius automobile tire rotate after starting from rest and accele0 zcydlu05 sg6rating 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, antee ( ey/xa tgs5ft:jud8c7j kgr46 ;1d has an angular 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 decelera)07slro ewmp.4+xu mi tes with a constant angular accelerati7l perx)w 4i0 +usomm.on of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed tss9co0ef37 6rq 1hdpof 6.0 rad/s while turning r79cqs106h 3ftep dosthrough 2.0 revolutions. What 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 dobs)m(ou3rkq5 aom:roy f9( 5yni.f0 7q(ctnc wn uniformly from 8.40 m/s to rest over a distance of 115 m. What isnfo.yf7rookyqt (cm u5 9r3 sm(:i 5a(cb0nq) 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 slows5ldonumjt +/* down uniformly from 8.40 m/s to rest over a distanceo*d ju/ +5tnlm 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 68.0 cm slows down uniformly from 8.40h 1ca6h5xg cctb(-)hcd -fwi5 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to ) 5h5b 6chc itcafh-w-cxg (d1the 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 speed of 3600 rev/mgbmb 1hvxmn );3 t7n z0r-n*h7 wuqn;tin. When switched off, it rotates 50.0 times at a constant angular acznnt7hbw1r-);;mbm qxhu3 *n0t7n vg 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 wheel require tightening to a torque of 90 Nm. If a 30 w)iji o pznrqf+4wh,z0 2z/ -hj7zar )cm long wrench is used, what is the magnz4)jnij r/wpzqw hhf z0z, rio27a-) +itude 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 )tvw x(*f2nkp inertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

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

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

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

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

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63#

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

A triatomic molecule is modeled as follows: mass m is a7 rpjoyvcw s. 969s;eyt the origin, mass 2m is at x =9c. wesr9syypov;j 67 a, and, mass 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 kg is; 9+p:jcmzrq) 7qnffna3b3 pe pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 =9n3;p)aq pb j: zc rf3qf7+emn 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 frictionl db/c/bh207j jtzo3stess axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, 2b730/ czoth/djjst b 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 hoyfy gtm 193yeq cc89/xrizontal position, and thef9eqc13y9yyg xt/ mc 8n 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 ML2/3.)

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 c3 vl6.ejac8wv d:q:m rm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls wit ed6 am:qj 38vlrvc:.whout 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 fr a7h,p-/a4y wvmzbxj 1ictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acce b-7wyjv az1xa,h/4pmleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionleayskpi/u; 9mn/ (iqgr ;+wqhv:x vm05 ss disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration of theq;(g9 qsma m/;x kiivhu/wy+0:5n rpv 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 itb+ xgx.mdw5w8+n khe 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 inertiaqb-slv b17pi2wj 8o -z 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 n gm46a2/id3xe6tfm gfrom rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches md 436gnfi/26xmteg athe 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 rolls with api3)7uggyyw 2;ata*a speed of 10 m/s. How h3wgiu pg)a 2at y7*a;yigh 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 1 lbdgf cp( m))9eosk4of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance o gdb ecs)1o)4m9flp(k f 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls without sliph )69fiq vmnf-;kiq ve,6xp+scxn+fh2t 9 k+cping down a 35e incline that is 7.0 m long. Assume it started from rest. The momi2 +q+-svtei )xfn cfpk+6v 69n,xh9hfmckq;ent 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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76#

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

An object's angular momentum changeq,t0.bss d - r+zec)gvs 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#

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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78#

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An ice skater has a moment of inertia y ) 0:s0(eee** gud y:;)vkrt-jd1f echpatm dof $5.0 \; kgm^{2}$ 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 rotatimc uf6n.rmz *:ng at 5.00 rad/s with arms extended has a moment of inertia ozncm:.r6mf* uf
$2.25 \; kgm^{2}$. 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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