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

1#

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Angular displacement is usuavq z-09 u+18 bepe k*sez4lqkmlly express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expresse6f f*3aw7 f4h4x cchddd 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 accelerations: 5-9,un(qi6 zo)ua wp ohi5lst6c tp is expressed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a meh:h q 1fhece ;0doe+;orry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is clohh+1coe e;q0 e; odf:hser 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 /xy cf9 x6i,z)tt-z yza merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has zt9xzf ,xzyt/ci )6-ythe 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 merrykq n-0o+ slcf:9c ermz7+9z zi-go-round which is turning at a constant rate. The boy is near the outer fz0:mcoq99z zk+ 7rci+l sne- edge, 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-go-ro5qfn7 q*2cti,crp p* lund which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. W qcf* 2p5pclq7 ti,n*rho 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-ro)k2-dv6 krx+jo kq4h hhp5 7tuund which is turning at a constant rate. The boy dv-h o)juhrx 25kh6q kk+7p t4is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of th9e/j)cl1lr w6y v5f kce following is an accurate stateme)c 15cwk6rv9 fyl jl/ent?

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 rkl9u;(q/e d cdepends 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. Tgpww5rl w(1(wj(rm(she first force is applied at the midpoint of the door; the second force is applied at the doorknrjpsw5m ww(l(wg( (1 rob. 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. The first force gl+z+aw zs9)z is applied perpendicular to the door; the second falg+zwz sz +9)orce 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 firs td cs:;m4 j;o00mvyrsd*t- det force is twice as large as the secondj0tr; dt m-: smy*0se cv4o;dd 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 r6t gm9e /duz:hotation?9mt6z/:d hg ue

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 botq es9gw2t pvt*nt*) +oh have the same diameter, but one has twice tq t9*ep+w )*2ot svgnthe mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mas9ndfcl 4(lim/5ky 0 jcs, but one has twice the radius of the other. Thl4/ fc(5mcyj0l9 d inke ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and twh j3)iq:q(e +syqc +cwice the diameter of the other. The ratio of the larger moment of inertia to that of t i)qqe+y( h:3c w+jcsqhe 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 iq./x .x .cw4vb9zz;hw ket8g (hwe ns.ncreased to 2M and 3R, what happens to the sphere's moment of inertia about a central axis9n bv.cx.(wgtxq/ .ezzwh8;e4 kh.s w?

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 a ifjs2.i(2whzw)hk ie +5 0uwan 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 lc+91wj ,lnc id/uua((9zlw )yq* ykk cylinder about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of ilu* yucjq/w l+y(9k zwdln9k ),c (ia1ts rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150l*jj:m)jbr1f t lj6q7 kg, one wheel 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 translational kinetic energy of thltmqjfj 1j)l 6brj:*7e 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 rol,7wq z51qu uquls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of thuuq5wuq7q z1,e 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 r:qv0j ,xy:jpjq6 ( lguadius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the incline depey:ux6j,j qgqp:l (vj0nds 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 when a nwjf::m6,osbz et external force acts on the system." This statemento:,jz: sfm 6wb 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 ve-yi cq7v0,vn(qp1h gplocity of system of particles change wit0g vpvq i(,yhqc-n 1p7hout 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 dct(:lb -t. y ktmv:i:( i;x8/he chdrin an elliptical orbit. Ignore any friction which may be present. hb dhx c i(vt /:y-d:iekcl8;tm .t(r: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 elyl nb m)h7alg f8g2ye7f:)b z2liptical orbit. As the Earth moves close to the Sun, then which of the blagg2 8 7:m yfn2f 7l)byze)hfollowing 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 outstrev x28v( y2pppwtched arms close to his body. What happens to h(pvy8x 2p2pv wis 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 ( +fy 9k6-bx1wzo39anfzdf z0j a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis oz1k-9 njz3w 6fxdfay0 zf9+ obf 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 a:n9o7bb fqe,c)ca,lpulling in his outstretched arms cloc ,:aqa b cbl9,)fe7nose 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 angular momentumw0k(ae.zqa3v nw *hs( 5gu ;;ndk)s4als 9lkq.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its nearly ciu;pwlo xoyloe d/ 3984rcular orbit about u8 lwde ;4o 3/y9xpolothe 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#

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The second hand of a clock has a length of 0.30 thcs li lh 2ny1cs/aydme:,+ d*25q+cm. What distance does the tip of the second hand sweep a1cle,h+i/dh cys 25ncm:ysl*d 2q +tthrough 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 f sr86(6/y - oybwkkqorevolutions 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 rev 0j: lre i(be9guhuy+-olutions in 4.0 s. What is the frequency of the wheel's rotati urjehi9e0( buy:g -+lon?

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 rotatingm/rj8g ,71 8axodjhw/hx*p z yfq2 p;f neutron star) emits pulses at a frequency of 0.40 kHz. The per;7/ mfqxy8, 8a * h jo/pwprjxz1g2fhdiod 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. Through what angle does it turh24j3w/m8e;kp ;8ik a ufipv qn in 0.20 siw;fqh2imvppa/;j kk8e4 u38 ?

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. How far willgu yrd42m6, ti a point on the outer rim move in6tg y,4urdi m2 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 thj53 jsdn9knj;g 9g 5ak gi/7yorough 2.0 revolutions in 4.0 s. What is the averagjy 9s5;k39oakg ggdi nn75/jje 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#

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A bicycle wheel rotates uniformly through 2.0 revolu( yv:gsa1gxe *tions in 4.0 s. What is the linear speed of a point 0.10 m 1g(a*e xsgv:y 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 di zjn6kqfm 2,(/ha lrm; .xtsm8stance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.8 t,(n2 ;/xsra6jfzl mm.khmq0 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 sk*pt tjjuwg4/14* cwy peed of 2.0 rad/s. What is thetjy*/4c wk*gt 1w4 jpu 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 cutter is 0.16 m in lengt*d3v mg,vx;gu h. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speeu*3 xv; gv,dmgd 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 comw+vydnr k m9 c)8y2*tnstant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the ycn d2wr ktmy9*)m+8vwheel'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 perimet*wiy0h:i6p t u2y0pp9k4mqes er of a bicycle wheel of diameter 70.0 cm when the bike is moving 8.00 m/u *k 2 tpqyp0ewi6i94spy:mh0s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm) must a circular, rotatelc )fc9 4ezb6ing space station (r = 1000 m) rotate z49 ebccel) 6fto 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 radiun u z0 1lk8t5t,8sz4dirvu;sys 50 m with a speed of 20 m/s. The maximum centripetal force (p us;t5n,8rztuz4 l1d0 i8ysvk rovided 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 radius 50 m wittunf43 8k2x kvh a speed of 20 m/s. The maximum centripetal force (provided by static fric 3 vkn8kutf42xtion) 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#

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

A 0.300-kg mass, attached to the end of a 0.750-m n .v6tem )i0 nm;jy)hdstring, 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 ife)t.m6jvn0;hnd ) iym 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#

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

A bowling ball of mass 7.5 kg and radius 9.0 cm o6;a/p7fa t lirolls without slipping 10 m down f7;/pia oa6l ta lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angua: u*a+icnqa t5;wqr8lar 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 acc53usej 3-olc4zkt-ebeleration 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 rot)g7zwb*2vzi 26 (rorhwo (av tate after starting from rest and accelerating at a constant angulaoozzv tbi2ra7r6 2)hw v*gw(( r acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an angular accemj mi h-xxb,2l s3py4)kq9c)rleration 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 constaxp w:(f c,2 ovstni)h .2ysvh8nt angular acceleratiynfoc, hphv82w stsv . ()x2:ion 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 rq*/d bp9y ayg*a c(t5sest and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average y9bd5sgytc* q a(p*/aangular 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 down uniformly from 8.40 m/s to:,burgn 5d, rn rest over a disdn ,gun,5br r:tance of 115 m. What is the total number of revolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down unif8:0uve udlk*f/x2v2 hs9 tfu +msg3hiormly from 8.40 m/s to rest over a distavux0+:g hl hfu/ fviss 9u3e*dmtk282nce 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 68f)ps qh7u6f ,e.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long do7)f,s q hup6efes 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#

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A centrifuge in a medical laboratory rotates at a rot,p*n ny8, tr/ gb:xcua(wz9bd- 2 hqxbational speed of 3600 rev/min. When switched off, it rotates 50.0 timeup b(qy8,cbb,2:nwnaxz t/d xr9 *h-g s at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tig* 4urqr./cylc, p4xn5tv h4aghtening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the fha/.4uty4g, rl*p nvcx4crq5 orce 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 c3 r17jhfz 0s;ta,b;nl:i6 xfjjk tr0 +tvpu2of 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 0d0 m+/yh i:ztxwcbz6follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment o0wtz6y i0 dcx/+ zhb:mf 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 pivoted about a frictionless ijery 6/z9 odtd;,:fwaxis thought the center O. A rope wrapped around the outer rtyw:e, o z/j9dr; 6difadius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivotee etp8 *sv-7c)6 bd2 cu2jqqexd about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How manbedc pt*7es q xq8- )ve2cu26jy 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. ivg9* kx/z.hae/;-vwq -nyiaThe rod is initially held in the horizontal position, and then released as the free end is allowed-v.zgvaxi *i a;wehk9qyn /-/ 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 cm and ma/ejt q 6d)c 6p:)c.njfh rk,yoss 1.5 kg. Neglect todnkj,c)/ q6yf . )jt:hre6 pche 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 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 aroq od(h(g m)zs*.es t:xund a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What )s ztsqg.o* m:x d(e(his 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 around a frictionless disk pulley 3i;obcj ,g7j0,hgfvvm 4r9/ : q mjcukof mass 7.07 kg and radius 66.0 cm. Wgcj,fj37 khqmv;u i r9c:bg,/o0 v m4jhat is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to st 0t3 :e: 0njvfimhvx0core 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 of -7ege )4cin sp$5.00 \; kgm^{2}$ 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 1r b2rxic8 7,;ssvd8nsk6b jv;.0 kg and radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed o; s r7vs 8crj;n2d ksbb8ix,6vf 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 1.0nz2e)f ; 0cbci kg and radius 0.010 m rolls with a speed of 10 m/s. How high up aniz2n ;)bfc ec0 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 rele)u1f*gsuk( b wased from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance o*(kw1u)uf b sgf 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 maseje. *7fwb ;sws 1.5 kg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. A7ee wf*j.wb ;sssume it started from rest. 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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76#

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

An object's angular momentum chang wwrp,9-x xm:les by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

A. $1.28 \times 10^{-21} \; kg \cdot m^{2}/s$

B. $1.76 \times 10^{-21} \; kg \cdot m^{2}/s$

C. $2.14 \times 10^{-21} \; kg \cdot m^{2}/s$

D. $3.20 \times 10^{-21} \; kg \cdot m^{2}/s$

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78#

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An ice skater has a moment of iner5,konc 1) ldxetia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad/s with arms extendewpq5 (6x:se ue p2g+a0 p9vygbd has a moment of inertia qy09axppv :6we2gps (b5e+gu 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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