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

1#

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Angular displacement i*-p,ens;+( v wl.:cck aj vvvbs usually express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in unipx, ;e8 in;nebhag ++iu2q6v nts 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 i4 t ewau5g./cfs 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 alsnp0; mwo 9lq 0/2jpo 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 the greater angular disl0mnjpqpsoo209; /w lplacement?

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 tu 3vveb9; czfe+rning at a constant rate. The b vzv9 e+;fc3eboy is near the outer edge, 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 joo 1g7vaob0nvh7n;1 constant rate. The boy is near tno;nag7 1v hv7ob 0oj1he outer 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-round which is turning at a constant ra3 rwl92q bgr1pte. The boy is near the oul31 gwrb9 qpr2ter 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 constant rafq6; ifnoyo uqj:n8 .,te. The boy is near the outif8 o6j.:nn q ;ofy,uqer 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 bod vsr/:f68kxs kjbm j6;y that is rotating. Which of the following is an accurate sm/jxk 68jsrskf:6;v btatement?

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 d 6fh (elf1jnh.r:,yrd+ pf;jjepends 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 app gh*/eg5wju c5lied at the midpoint of the door; w 5e /5u*jcghgthe second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The first force is app9nw5 : upcu)zkg2.vlhlied perpendicular to the door; the second force iph z.) ugwculkv59:2 ns 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 the2m/d /)vclg4)t *ivjb9y dspz door. The first force is twice as large as the second force. The ratio of the torque of the first to the c) i9t42)md dsyvzgvpl/j* b/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 usef 48(o dvv5jp- jow5nsd to measure an object's resistance to changes in rotatiosjod 5(jfow4-p 8nv v5n?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform soli.x ia,oe ,n+wld spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of tn x,w+ aie.,olhe smaller moment of inertia is

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16#

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Two uniform solid spherece. (1brk /al x+p-s*b xwjm7xs have the same mass, but one has twice the radius of thxl .wkbbpce*mx1s+ (/a- r7xje other. 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 the mass and twice thes9k cy;c/1z r i6 eckx267stqh diameter of 9k;s6sr/y eqxc6 c7tzki12hc the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these arep;pt orbj 3tf1ntq6pa:+imd9;hp) 3 l increased to 2M and 3R, what happenh; toq pnl 6+ 39p1bppt:fr;3di)tajms to the sphere's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, that object wi.kf-8f271pdpx qnob dll

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 iku(8ip:an7v )fj 6my5y l,d vos given by 0.5 MR2. If this cylinder rolls without 6n75y(mj,iov k8apd f)uylv: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 mass ofh xu*cu45iy3z 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? Assume the wheels are uniform5c u4iu x3*yhz 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 Rug88b*;tzi:cz.kg fw rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the inclin:gz8k .fz gb*uc;w ti8e depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without slipping dj;,jl/ l 1gl9zg vm4wiown an inclined plane starting from rest. The an1iv j/94gzjlg mll,;w gular 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 changes when a net ep9fvjlqe 3aos y;:/)nxternal force acts on thn9/lp ef)ajy: oq;sv3e 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 (m x)pb2yjv0mparticles change without any change in the system's angular mom0vmbmj p )y2(xentum?

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 bd8xo ia74h 67zmdr 4n-xt cf4friction which may be 7x ohazrmbdxct64 i4dn- f 847present. What happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earth mo u4j:0,lj;sry j3srl cves close to the Sun, then which of the following best describes the orbiting speed of the Eary r uc40jsj,3lr ;:sljth 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 pftx w**, s (hdau5 73wyjpp:u2ly67sp2 yibhkirouette (a fast spin) by pulling in his outstretched arms close to his body. l u*d5:kh7x i,htybj2a* w(upyfpp73s2wys6 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#

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

An ice skater performs a px58j-h2k 5zxbyc2yp l irouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of rokcpy2 jx 2-x5zyhb8l 5tation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette (a fast spin) by pulling in his outstretched py l( yrlno ,/k4.cuhk*tw:q+arms close to his body. What hay*utcp(kh /+y 4n k.rw o:qll,ppens 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 g -h1lkte)o-e6v t5 jhnz9l1 lof 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 Eoy:js9zbe(j uaa/g;c0)ac 3 x arth travel in a three month period in its nearly circular orbit about thy)j9 jg bo z/cascx ;aa30:(uee Sun with a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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

The second hand of a clock has a lengcj 2yhz2zfp g :/pu+s7th of 0.30 m. What distance does the tip of py 7+z :gc/ufh22js zpthe second hand sweep 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#

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How many rad/s is 25 revolutions per minute equivalent .oumkuie9r.) og- m -xu1hv6fto?

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 revolutions etuwf)qo- apcm to32- n.4)r;,n ym( ettl4siin 4.0 s. What is the frequency of tm te2ca)o sfy t ro,4w- u.)(nptel34iq;-t mnhe wheel'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 rotatingfkmj*kk)uh *2 neutron star) emits pulses at a frequency of 0.40 kHz. The period of its rotatij)*mk ukk* hf2on 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 ag,.oj70v ; lxdt cch;rpm. Through what angle does it turn in 0.20 s c;,ov;ha0d. 7ctgjxl?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on th9s sru u zh08pdkma(2-e outer rim (uk sz-s r9uhap 8md20move 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 1un gpxm( :d(m2.0 revolutions in 4.0 s. What is the average angular speed oum n g(1x:(mpdf 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 t hbkq/ us2a.g*hrough 2.0 revolutions in 4.0 s. What is the linear speed of a poiks*/bug 2 .qhant 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 ski5 az3wdu 6vxc+78ui elers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make th lezdc8 ixvuawu6 7+53e 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 cz xfte*1o 2cf2,,f bt o.sio2hsh7qb4onstant angular speed of 2.0 rad/s. What is the linear spee24 tfshc b,q2fo hx7it*eoo ,2zbs.1fd 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 weedzp d*f.d:ma2kf+el(v 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:f*e+(f adl.2v dz kpm 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 ro2n e *0+wv:lsvpkgx gdjz:1*otating with a constant angular speed of 2.0 rad/s. What is the centripetal a1v 2+kpg: zo* egswd*l0:xnjvcceleration 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 accelerati ebv:sq,9.lxjon of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is mb,ves9lxj.: qoving 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(i 8bg0eh nn3+l lpsc epy6ycvf7d*)6, rotating space station (r = 1000 m) rotate pfv()8 d6ipel+ne*cy c0l 6h7gn3yb s to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circul.g+y5urve; k53ppcs, kctg w 9ar curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (prrkp, p5yu35gkt w;s+g.c e9vcovided 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 ( ta+ dtovo--i b.8pk-f(u wdqm with a speed of 20 m/s. The maximum centripetal force (provi qp+vik.-w- f(-tdao8t(bo duded 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#

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

A 0.300-kg mass, attached to the end of a 0.750-m string, is w*pbt mcc;hs4v t v9.t*; f2alvhirled around in a smooth level table. If the maximum tension that th.t s4;t;cb lfav2vtcm hp*v9*e string can withstand is 250 N, then what 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#

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

A bowling ball of mass 7.5 kg and radius 9.0 cm rollg :;ybz;d hj1js without slipping 10 m down a lane at y d;jbh1;:zgj4.3 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 z djw ,))s+yayo go.(qa constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant angular acpuf/i ,)5x cceceleration 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 after st44b8e*z4 bs1wii fybkarting from rest and accelerating k4ib4by48e wsz 1*fbiat 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 reok7s5)rk1sil ) vp9z3 i kc)unst, 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 at 20 rad/s decelerz4l:kj qi6+m xates with a constant angular acceleratizlq+ kj:4mxi6on 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 p0g v0(;:hi70tcrtzhny6k jr and reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of the py70rnchi:r; 06k0gt vht(zj 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 unifor tvy)5+rv t:ocmly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel yrtvv: )5+ct orotates 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 uniformly from 8.40 m/s to rest zyqmhj6;4io :g -p:q mover a distance of 115 m. What is the angular accelerq64y gmqzpm:o:; ih -jation?

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/s to rest ov v+s s-z:6zjr3a gccej4od7 :ter a diseosjtsz- jc6a:c g:v d3z4+r 7tance 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 medicalpbndwqshj.0d zp-1 w : jm/;qri)35q n laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a conj/-b31 :dppqn)hq 5.qz;isdrwnj wm 0stant 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 tightening to a torque of 90 Nm.j)g lzd;ksd*zu .f)/ b If a 30 cm long wrench is used, what is the magnu/b)k*g fl djz)dz;.situde 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 m326dn b5c z8dc crb/nt+kh y1of 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 molecules8c5x)d .b fgz is modeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about)sbzf d5xg.c8 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 axis tw aj35 q3xecm3hought 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 acqje3353 a xmwround another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis m bqn/llgk6 8y 2slk;: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 q6lkm ygn:l s8kl2 ;/brope 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 eov7;kebq;iqo; j6d3t redo )-nd. 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 ab;7dovojoq);3e ke r ;6 d-itqs 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 cndt .e beo54k s 15-yxirl1mk:m and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls with :-exrkbe1 in54dst.1mlyok5out 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 dcy2o4yohe3s 7 isk pulley of mass 7.07 kg and radius 66.0 cm. What is the angu4sy e2y3hoo7c lar 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 fricyg; r8lmt,7/u 7onvb:q i0cwetionless disk pulley of mass 7.07 kg and radius 67:i nt;o ubrq/l y gcvw708me,6.0 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 be used to store energy. If it is requi2l1gi )3:ig8s oxta cxred 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 inerfb vq;1vu 4c)ktia 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 from rest8gs(/gfzw ) kz q*nx*p3xk cdp j6.o(a and rolls without slipping down a 1qgxf(od*pak(.p 3zsg6k/c *j) zxw 8n .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 rold )f lrgj09se21faupih kq61,r: jv2jls with a speed of 10 m/s. How 2e,r)r uffi1:hpklvj2jd a6 0js19qghigh up an inclined plane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and f,makxjn,qj-ck-1b x3fs 3l9a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it movf-jkm cnxj3-3,x1 b ak9sqf l,ing 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 h v;tx5ih/iy;jg.t, ki gi3)dwithout slipping down a 35e incline that is 7.0 m long. Assume g) ./ih;v5i kjtih ;tigyd,3 xit 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 )b6 lddzgg7c8momentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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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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Mark Problem

78#

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

An ice skater has a moment of 0m9sezvcm +k,mk1: iwinertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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Mark Problem

79#

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

A figure skater rotating at 5.00 rad/s ,me d6 3m hax5xbc(-lkce *6wzwith arms extended has a moment of inertia ob(66l xc3-zck xm eea,m5wd h*f
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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

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