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

1#

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Angular displacement is usually express in ufb03i ss9 hzk1nits of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is exp,nile.-/ tdxfressed 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 i 9li:(b ;chz4l6 vdgsvs 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 merry-go-round which is turkvr2o 9st jm17ning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement r921k tmvs7oj?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round which is turning at a constant r+0nlq;.q efk p 3jpx:o/ ood:pate. The boy is near the outer edge, and the gil+p3 p;k o::o eqqnp /j.of0xdrl 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 tuxzi )7a2cb ntcg6+; wprning at a constant rate. The boy is near the outer edg bw)tc+g;7z2cpa6xin e, 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 ag6rjq ff +-.zcb31hp x merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the c-r16xb3gffj h+zq.c p enter. 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 au2x,)snmjx+9q v0rvg c:w; nk merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the,)vn n:j2wsurc0gxk9q x+vm; 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 roay f6cy.i.m7rtating. Which of the following is an accurate st .i7afcm.6yyratement?

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 depends b)gb)kzdt1 +non

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 i ou sg(,1iewmfa5m 9;first force is applied at the midpoint of the door; the second force is applied at te15so mmg9; fwuia ,i(he doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the do9 3fu 9hg22mufevozg9orknob. The first force is applied perpendicular to the v 2g eg99m9uhu3off2z door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to ti 7 c;sawxd;ork/ -*,beige od +8xh8vhe door. The first force is twice as large as the second force. The ratio of the torque of the first tob; xi d7aei8oo/+gk-ce,vx *;r ds8hw 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'k: yl u9l h-.dvh93blcs resistance to changes in rotationl-ll93 vk ybh.dcuh9 :?

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 haa.jzjs 01w+g/2c alhs(q8gnu54 y ihtve the same diameter, but one has twice the mass of the other. The ratio of the 5s0 ah. 2qjtg4w8a sc n+(z/lh1gujiylarger 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 hmd61 r 2o0j n)vunrmrod5i y+:as twice the radius of the other. The ratio of the larger sphere's moment of inertia to t yr)mrmvnj02di n:o5+ 1u 6rdohat 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 mass2te r;pv4e3feeeu w lb ,up8(; and twice the diameter of the other. The ratio of the larger moment of inertieu e4eerpw(tb;,;8l ufv32 epa to that of the smaller moment of inertia is

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18#

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A uniform solid sphere ns sw4dnfqhh x 5; cyd0;j(4*qhas mass M and radius R. If these are increased to 2M and 3R, what happens to the sphere's moment of ind5f djx nwq*; ny0(chs;qh44s ertia 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 to .l(q3pacq,j;4 jmxh30ezjd drque is applied 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 about its axis is given by 0:h3 3s2;a ofahd)qpii.5 MR2. If this cylinder rollsa ;3:2)idai3fhshp oq without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mas;.gn2 s.me10opxle ols 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 the bike? x;op.seemn12o 0g l.lAssume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without slipping h0m , xxop9q6cohx2h( down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incl xpoc( o0,hmx9h2xh6q ine 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 w zb7itn ++m 7pofke2/mass M and radius R rolls without slipping down an inclined plane starting from roem+t7 pz iw+bn 7/f2kest. 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 system of particles c zc i6)x3 z6du*g9di h*wfbo5qhanges when a net external force acts on x ) 6zicq*h 9dw365 bdufzog*ithe 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 can the angular velocity of system of particb+jj3kie 2 :dpix.6ft les change without any change + 3:6tfxibidjjpe .2k 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. Ignore any friction which 4im p(eg 0uk+d/wqhr) may be present. What happens over time to the Earth's angular momentum about ph0)uq/w i+rkmd(4ge 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 thu1*pkdw h 0 9/rqtiw2ue Earth moves close to the Sun, then which of the following best describes thi /q0hw 21uwuk*tpd r9e 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 pir *+;tbgo0e1ov0dbas g ouette (a fast spin) by pulling in his outstretched arms close to 0gbo e so;d*v+tgb10ahis body. What 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 t gi1ee)-5whdpirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of rotatig-hd)t 51eew ion?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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

An ice skater performs a hcevugg*cg )lti p 5kf,32n,3 pirouette (a fast spin) by pulling in his outstretched arms close to his body. Wihlg)3 *ggc35vpn k2 ,u,f techat happens to his moment of inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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

State the law of conservationv7)s vqjk b,lo4j92dbynhs2 ) of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month period in its nearly ci zt6j-rbplygky,d 6oq b(,-u:rcular orbit about the Sun with a radius of6 6(:b,y-jp tkqyul,rgb- o zd $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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

The second hand of a clock :+1/nuja x3 jv0szmzl has a length of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes and 45 secondx/0vnsmza l1+ ju:z 3js?

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 revolutions per minute +w5no1uzx f qt + *sk0)mvtpv,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 uniforml8q o6 qi+ni8z1y6:0ntvi nnaw y through 2.0 revolutions in 4.0 s. What is the frequency of the ny:80+v ni nzn i6w8qa6tqio1wheel'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 pulses at a frequq+kcy u6 o6vo)ency of 0.40 kHz. The per6 6ku voy)qco+iod of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rotates at 45 rpm. Through what angle does0wwido*43pi9 bamm bp*wi 3j) it turn in 0.20 s)p4b dj 9i30i*i wapmw3w*om b?

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 1i;3m0) )fsapmnpr v8w500 rpm. How far will a point on the outer rim0vsai p)pfm; n) 83rmw 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 uniformly through 2.0 revolutiitpc498i87 uomqzhsb ;iv.yh i.lfs t0u736 yons in 4.0 s. What is the average angular l;fycy6t8 op zvs3.q8i.4h 79 7iiuhmbus t0i 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 rotat ameh(np-pi5e 7wz8b+ es uniformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the ceiw-npa ep+ e( bm57h8znter 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#

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

A cable car at a ski resort 0 )j2wt tz-k5j6upmak carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippaj-t ) z0pmukw5ja6tk2ge, 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 speed of 275fflwty s7yt .y6x3o.0 rad/s. What is the linear speed owo6sy. fytxy3tf75l7 f 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 wegc) / 5d,ag/5dqp s lblh(myt-ceq 2/ned cutter 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 ea)g5l hdbsnpt5cq/2q/ cl (y/megd ,-nd 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 rotata0c cr* +jdcy)ing with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point *)ayccd0 rcj+ 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 ln.)zak rmxkc.h*,yn b8-e(k*nil h:r of a bicycle wheel of diameter 70.0 cm when the bike isx nn klyc8z le.ik:*mhbk*),h. r(-na 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#

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

How many revolutions per minute (rpm) must a circular, rotating space zb4 xbsc*es ,t 6omq+uyvov w)5n6k:1 station (r = 1000 m) rotate to produce an uzocb e,)6 b6tso :+ymkqx1w*s nv4 5vartificial 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#

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

A car is negotiating a flat circular curve of radius 50 m with a speed of 20 mdgr9 0/ uaq5o4qt vk-o/s.o4/ v0drga-oqk 5q9 tu The maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

A. $0.40 \; m/s^2$

B. $0.80 \; m/s^2$

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

D. $8.0 \; m/s^2$

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a speed o,lhilct g mcsq)8g *67f 20 m/s. The maximum centripetal foc7 smc8g ,ltlih*gq)6 rce (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 tk 4 bb6pp;+hyxo the 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 spkbx4 h+;pp6ybeed 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#

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

A bowling ball of mass 7.5 kg and radius 9.0 cm r8 m;*83bse)w qobn svfolls without slipping 10 m down a lane at 4.3 m/sm o8 3ss;wb)*8bfqnev.
(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 anb kp np cj-un;w3wohd(k- +6;ygular 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 isg5uc61y* hjconstant angular 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 doek5 r - ww3q5vrcr1 g 32dqpl,4 0g8xojm6wsllqs a 0.300-m radius automobile tire rotate after starting from rest and accelerating at a constanv-q5gwlpqm,l05o3ws k gqw3r2r jlr6 dc18 4x t 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 resr9v-)/ulrr.drii l q) t, and 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 ait1i/8z9y: o* mhmpeat 20 rad/s decelerates with a constant angular acceleraa*i1o y 9/hpmz mi:te8tion 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 of l,jf4+zz-,gyb j*zwq 6.0 rad/s while turning through 2.0 revolutions-y,zgjwqzz*lj b,+f 4. 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 down uniformly from 8.41dq, b0sp d6mh yha ,b0eb8+gna o4:zc0 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheh84qbzg b sp d+a :1ybcmna6edh0 ,0,oel 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 slowsz gg sy8g(/0dv down uniformly from 8.40 m/s to rest over a 0g zg/sv(g8dy distance 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 8.40 m/sk(:kqkv y4ar 5lz2pz h4a6* or to rest over a divl zkp a6o:4q (r2kk5 zy*4hrastance 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 r1wpwl+if7 b)votates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular accelerati+) pbwwivl1f7 on 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 l w2xxh9 q avg2dp73q7of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the for7l2q2x7 3d 9wa pvxqhgce 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 inertrh.- 6lr 2xt22p *tojrjjz1xjia $3.00 kgm^{2}$ 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 aruhwcr:f.7v 7 s follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of7rrfhv :c7u.w 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 pir:ie5/ x:gvw yvoted about a frictionless axis thought the center O. A rop5:/evyrigx : we 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. (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 m2yg*dvk7g t:f ass 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 yv 7g:kt2fdg *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. The rdfne,)mdh v;+oadw0mt 7b r1 rn1c:5xod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular ) mdxvreoc0 7 +fb nd1:dat1;hm5r,wn 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 whezshpa /:8g 9z :yfokb(el to be a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the /paykgb zzhf9:( :8os 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 around a frictionless disk pulley o5c-1j:symxsethsck6.air 7 s/d.j, of mass 7.07 kg and radius 66.0 cm.m-j5ac,1esji/7 txc r.d ks.s 6ohys: What is the angular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless dit;tb y ernwrx6ouc*bz529,t5 sk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration ofrozt ,ubw*5;2 t6b 9c5er ntyx the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store energy. If it is required t z52oaz wt)sbjva8)d+o 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 i 6 bfeb0)9 zf /sqm7cvezyv*3anertia 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 ce f5 l37yk0hvtg 3z/lfrom rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere wh0f3 yl g7l3the5v /kzcen 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 by3cwzkh 1x dcza-.s-u7)+hs radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before comin+c1w .udz-x h 3-hzybsaks) c7g to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is released from rest and all8r)zr wlhe 6l g*4;extowed to roll down an inclined plane. How fast is it moving after r8lw6e*el4)hr zg ;tx 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 wito 2c t9wo*n(*1y hcl/adcjth.hout slipping down a 35e incline that is 7. h2yhwcod(/n c9a *ctl1.t* oj0 m long. Assume 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 b g;lu+ j;)z4bj9jja3lv9pmj9o* ypbchanges 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 mom;, e .jnfk(qahent of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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Mark Problem

79#

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

A figure skater rotating ayd: ;yig.0lt(,rq2a le )y wh2iz/u myt 5.00 rad/s with arms extended has a moment of inertia ofiw, y0(uy iyz2l/tl)aed.mgy;: 2 qr h
$2.25 \; kgm^{2}$. 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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