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

1#

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Angular displacement is usually express in units orf8 ;w-j+9jeuumf1sk f

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressedaoqbqj fw** 5oe7-; er 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 isued6qwk f,wy x:w4 7r, expressed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are iu)w e r,d.q4dn ey, j4:o*tydriding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and t e4d: ,yd)yuejr.d*q tn4i wo,he 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 whicx)9njcu + ub zej1nk6/h is turning at a constant rate. The boy is near the outer edgebj +c/9ejxn16u)zn u k, and the 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 merry-go-round which is turning at a cons cn1xyo*w6 vuzv; c ;;xts,)ultant rate. The boy is near the outer edge,x1v;cy6 c zx s,o nvuwu;)*l;t and the girl is 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- ld e07v +o6ap9wl/csrgo-round which is turning at a constant rate. Twop e0+ llvd7ra6c /9she boy is near 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 merry-go-round which is turning at a constan6yslp. cj3lzgh v)/5e t rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater t)hl s/l.pzjy36 c5g evangential 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 i glgye:( wlqlv4:x.uc2 p.fa*s rotating. Which of the following is an accurate stafq*vle :gayx(llg2 p.w:4. cutement?

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 d26mja si,kfr2epends on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The first force is applied at the):ouxf f u ov))pp;w;gx kp63i midpoint of the door; the second force is applied at the doork6vouupx;:g3ki)fo) p );wxp fnob. 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. kdr5ao4x2a1,w ox-g. iyr) e(hrn:c s The first force is applied perx2ek1.5 wc4-)(ao yrx gorn s ra,di:hpendicular 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, perp-q1ry(4l1f 8ez /ybrpvuzx y)endicular to the door. The first force is u4rbx z pyyl8r1e1-qf(/z)vy twice as large as the second force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistance to changes in, lhu a *(iejhwa1f)l9 rotationjef9u )1a*lhw(iha, l?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same d:tc wr.gc 0sga i33m:siameter, but one has twice the mass of the other.03cgrgc ast:: wm3 is. 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 same mass, but one has twice the radius2 8h/z s *qo*2bfj7mbf vogn n7b6jj5g of the othvoz75h/8*nfqb*obbj j sm f72 6j 2ngger. 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 jz hl.a:, ep5i +nb*rf,etc+e the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertiae b*:e+,n fjp+5ehl.cirza t, is

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18#

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A uniform solid sphere has mass M and radius R.0+vab:4bcyb 7c yoz;z If these are increased to 2M and 3R, what happens to the sphere's moment of inertia about a central cvyz0a;bcz 4o7b y+ :baxis?

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 app c)ua52ypen0 b3auj 6olied to an object, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder abous u12fvaa:)cf,b ni4-j/(f y yrpzs1it its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetiffia-r:yfypi1v4 u()n21 b sacj, zs/c 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 wheelfb1nw1hpuei6ko v8ms(w 71q / of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total tranw11puhn mwo ksei6fb7/( vq8 1slational 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 mt:f1x s r8,prmass M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the b1: fsm,rtxpr8 ottom 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 slipz4xqa( 5w) 6xgj-fi byping down an inclined p6-wyq4xzf xb5(ga i )jlane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a ;j )w0kiqla-x4 r hix2ek,b28tq r(ku.dr,upsystem of particles changes when a net external force acts on the system." This xa)24r ju,x2r q(q k lw uk -,p.0ed;ikbhtir8statement 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 4-t1 w3ehvl1pwxw pfr1- arx (the angular velocity of system of particles change without any change in the system's angular mo4fw 3h-w 1xx1l p1-(aprrwetv mentum?

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 jz,fhs(9/ dpdxp k +bp bj4*m5elliptical orbit. Ignore any friction which may be prese4+xd* h z9dp (/j,pfkjpm5 bsbnt. 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 orbitqx xot6t *+f9e. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Eaf q6+xto9x*t erth 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 pv 6 wxc6xaf;crx,)y3 bulling in his outstretched arms close to his body. Whax;c, fracw xb66) yxv3t happens to 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#

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An ice skater performs a piroue,duymy *+ nn9rtte (a fast spin) by pulling in his outstretched arms close to his body. y9*y,dm+nru n 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 perfor bk jvggfti4tg18;,e+ms a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happen4 fb;i, te8t k+1gvgjgs 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 conserozupo o jy17gg( eo()+vation 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 th 49b(,obkphrg e Earth travel in a three month period in its nearly circular orbit about the Sun wihgb( r9kb ,po4th a radius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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The second hand of a clock has a length of 0.30 m. What distance does the3h zaw ;gu:wg8 l4lqp53p/rr 4 npknw6lmez68 tip of the second hand sweza4q5lw83 elrwh;6purn p4l gp:n8g mkz/w36 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 revolutions perdo llg3w(kg4. 2ear y+ 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 is thyo c:d 7iua- lqo-f7ilw1lc -:e fri 7--iluq:lld7ao o-cw f:1cy equency 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 neutron stui :m0 hwa:vo2ar) emits pulses at a frequency of 0.40 kHz. The h aui2::wm0vo 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. vlm) )y3kln27 :m lbiwThrough what angle does it turn in 0.20 smn3lyimw) k)b2: l7vl ?

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 cm0u s.kw2n,l:xoc lglr ,4qg/a turns at 1500 rpm. How far will a point on the outer ri rcs: ,gkll.4lanq2gx/0wu,o m move in 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 uniform4ocgfl/tja/p-.ny) m 0 i; .:k+qu g.e qksipfly through 2.0 revolutions in 4.0 s. What is the average an-.pm:p qnq4foefs.;i/k).gj u+li/0g ktcay gular 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 u-jjex pecb,n/ezt5 q8v3am:j)w ei* 6 niformly through 2.0 revolutions in 4.0 s. What is the linear speed 5j e*e 6qj v8,p:iaejbn z /xtcw)3-emof 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 distance of 6.8 km. The cable :mfn 3ma)bb x*islvs8/) 5ob bwhich moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley roamm8nb3bi vl *x)s/5 :bbf )ostate 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 constd. w4gvg/bu/x ant angular speed of 2.0 rad/s. What is the linear speed ofxg wbv 4d/u/.g 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 c9t q cbi+5ffd*utter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the enff5ci+*b9dq td 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 angular speed of 2:wq pys b4o29t.0 rad/s. Whap42:ots9 bwyq t is the 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 perimete q6)b8mnp 3 b0jys(kher of a bicycle wheel of diameter 70.0 cm when the bike is moving 86ynsmhp k8qe3j( b)b0.00 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) musk4:kf,aubz gb i70x:z9uz hu +t a circular, rotating space station (r = 1000 m) rotate to produce an artificial grav,i:zx za0 z7 + uhg:bbf49ukkuity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular z6pbi fqdyx9 4lzaevikvh+0 214(4 vgcurve of radius 50 m with a speed of 20 m/s. The maximum centripetal41i ki d( e+4l v0b4yzfhq2zvp9gxa6v 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 circuqtgq:3xlq13:r4vk gmc(da* jlar curve of radius 50 m with a speed of 20 m/s. The maqv 31alq (cq:x:g3rjt*m 4 dkgximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

A. $0.50 \times 10^{3} \; kg$

B. $1.0 \times 10^{3} \; kg$

C. $1.5 \times 10^{3} \; kg$

D. $2.0 \times 10^{3} \; kg$

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49#

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A 0.300-kg mass, attached to the end of a 0.750-m string, is whip x;yfa;:pq r/rled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then wp;rqx:; apy/fhat maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of mass 7.5 kg and radius 9usk25eu19 i5gqzy3se c7 ;.mn22rmyp9 m nvcp.0 cm rolls without slipping 10 m down a lane at 4. gps2u9; m2vcsin5cn 2upr 7m5e. yqz9mye1k33 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 *:euz (b u:tl,:iqkqon6sf- a 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 angukq.-go zt t:e :b6pc.rt/ )lj9 z8ehxjlar acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m radius automobile tire rotate aftr ;tj1*y ;wnc:orrna 3;:bwhner starting from rest and acbjcryrnn; n;;htow aw:r1:*3celerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an qq biq4ibgem;6vgo9 3te8t v ke9a(67angular 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 d.opz4nejwq( wp 0k*wm0rr,p (e)g z)iecelerates with a constant angular acceleration of r prkzn )pq* ei (4e .w(wgo)jp0mz,w0$-5.0 \; rad/s^2$. 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 of 6.0 rad/s while tu+oy: 2nav-cjht l s4*yrning through 2.0 revolutions. What is the average angular acceleratioyav *ohnc:tyjs-+42ln of the wheel?

A. $0.24 \; rad/s^2$

B. $1.4 \; rad/s^2$

C. $3.0 \; rad/s^2$

D. $9.0 \; rad/s^2$

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rehl/so( cv6/5poste31 n kt6oxst over a distance of 115 m. What is the total number of nce3/op/h6l 6 ssxo1(vto5ktrevolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down unifq(wt00ht3iehxb4lapp mo3 34ormly from 8.40 m/s to rest over a distance of 115 m. What is the angular a hlxe (0p3o 4itmb 3wh4t03qpacceleration?

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

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

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

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

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59#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 mfy*kp;a u mt.5/s to rest over a distaak5 .p;fyutm *nce of 115 m. How long does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational speed of 3600l 34me)k rjao9 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleratjr43lmo k9a )eion 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. jzxbp -o)/)bt If a 30 cm long wrench is used, what is the magnitbptxb j-)zo) /ude 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 inertidky pdn)dj (x7o2ha; +a $3.00 kgm^{2}$ 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: ma/wolf-m ;5l720s tpd+s r 0nznz4rdlnss m is at the origin, mass 2m is0 s/zlnnnl+ 4wpr -0sf;mo tlz572r dd at x = 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 k(:ud6mw3wog r1 w/: eplx ,xymass 10 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 exertse:m wgl,r31y(dp:owwk6x /u x 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 ag64u t4j*jbkf frictionless axis thought the center O. jgbu 4f46tj* k 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, 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.:j-yb x ;ulj1u The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is relbxyl:u uj;1-j eased? (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 cm and mass 1.5 kg. e gihp90 oyo9 wlpu(+9*pcd q8 Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentiall9pphde 9q9polgyc +(u 0wi* 8oy to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a fri:a;) as*cdtgq ctionless disk pulley of mass 7.07 kg and radius 66.0 cm. aqta g:*ds)c; 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 bi ;t0iz.*org v9mcr*a rope wrapped around a frictionless disk pulley of mass 7.0c * .zvr*goimb0; r9it7 kg and radius 66.0 cm. What 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 9eu nx9e2ps s ;e95lfent-ek;aik22ibe used 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 (cyr)hl-4 hr 3kyt u/7x4sjukof $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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

A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and rollsee6i(lc l6e/ l dtvpih)r2+a 5 without slipping down a 1pl rl(/i5ial6 2d)6 t hcve+ee.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 rolls with a speedgj (mbut 7zp6 xq6. +)kk:xvtz of 10 m/s. How high up an inclined plane ca)(6+u6bgzpxtjqk: t vkx z7m.n 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 an 668xgx nf * xfi1p7mgavty;4yd a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fastfxxt6f4 xp1vay7y* ; ggm 68ni is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slippingie/+s0 ec0rvxp6 p8rl down a 35e incline that is 7.0 m long. Assume it started from rest. The momen60cer lr8pxe0pvis+/ t 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 changzao4e6vffp4*xdao ) 6es 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#

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

An ice skater has a moment of inertia ofwem 1 )lu (f r. i/wh97i)zuvfisij9k+ $5.0 \; kgm^{2}$ 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 oo(w-laix)ou fx *,r3 inertiaa*lofix )o( o-xr,3wu 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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