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

1#

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Angular displacement is usually express u. a0loj o7l-s;eq:cqin units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in unitswjr-/1hem(yk 9k sis( of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed in units ofp+f lr1,b.nsf

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 mere.1ooeb x9d+mry-go-round which is turning at a constant rate. The boy is near.eb+ ode1o x9m the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round w3 mzl7us/cca8 ni 0sf)hich is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has thmul szi/fc 7n 0asc)83e 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 ridingbzgh,vq1 m 2g -yn n1nmr+,/fgbkub9. on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the ceng.zuk,b1 2yqbhb/,g m-nmv9rn 1gn f+ter. 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 ,rqy6m q9moqq ;r1;fx rate. The boy is near the outer edge, whir; qo, 1fqm 69xr;mqqyle 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 tu k gnr;j.ydxbs1/,rd 7rning at a constant rate. Thj7 g,;k.r/b nydsdr x1e boy is 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 the following is an accur06 z7lbmv h-kfate statement?bzm7k l-60fhv

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 de2mw/ ;f0yj egm wcf*5apends 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 do)nc2pq/yxr * jc-j hw7or. The first force is applied at the midpoint of the door; the second force i) *-jy7wnrcpjh /qc2xs 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. Thec41c14 vourm u0p is*sah5,ya first force is applied perpendicular to the door; the second form ascaih 44v,115sopcy ruu*0ce 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 d7zk1wq1pp) ohm )9ftboor. The first force is twice as large as the second force. Th7h tzwmbof)) qkp119 pe 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 rotatv6io rbaw) (n1ioni)wvo1(r an6b?

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,+7dxe7dy0z03ga jcmnw .l bo where both have the same diameter, but one has twice the mass of the other. The ratio of the larger m+ l.g3 cdaoe0x7,y dw70 mjnzboment 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 onx q3beyi++g6 de has twice the radius of the other. The ratio of t+gb 6y3id xqe+he 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 sz x5dcq( 7)gt9s+k q:,g7om4y ock pjthe mass and twice the diameter of the other.qsokj mc g5z:qd ,oygkc(7xp 9+t)4s7 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 b*2s.)8zdoe pe -uwc58v ibtw R. If these are increased to 2M and 3R, whbt.2 z*-i) wep8boecwvs5 8ud at happens 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 +dw-j tf0u z5gx7wrfd7pr- yfla3 j, 2to 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#

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

The moment of inertia of a soih5yf 681yhk glid cylinder about its axis is given by 0.5 MR2. If thy y56h8kfihg1 is cylinder rolls 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 hir 36r43,w5 cy6k+bhh(a : xsqcq7ir4f vwxyhas a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels 7yq hrai x,hy(3wrbr 3+fw4sqck :v4 5 cixh66to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of masj9csmh ;l 8o*es M and radius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere a8 ;chjmes l*o9t the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere on6 5 i+*wgp,;y b0pasedkewb8f mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere awgna;s+ webep8p 5i 0 ky,*bd6t 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 o hp jhg8 :assb0ln3:,v+o)ade ig c2pdd71e; of a system of particles changes when a net external force acts on the system." This state+s3a0eg;, di8 b pv2dodp7ogn1a :ehj :lh)sc ment 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 vec6/**;z f6ug8xn s cwmilea-blocity of system of particles change without any change in the system's angular mox-mng cz /ulf6e ;isb*c*6aw8 mentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun in an elliptical orbz;mtri b5rcrc3h) hf,(l. b-rit. Ignore any friction which may be present. What happens of(b cb)rz35 ,r.cl;i hm th-rrver 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 Sk: /zy50qytx tm*wra-un in an elliptical orbit. As the Earth moves close to the Sun, then which of the following best describes the orbry05qax:-*ztm/ w y tkiting 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 outstretchdy;xk:k .x8dyed arms close to his body. What y 8;x.dykd :kxhappens 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 pirouette e ,b;d8i*y/si;m 7d 0vrac-twox/ ee-sxurq:(a fast spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic ert7-y;,w/ssie /-0rbud aee8q v:;x od xi*cm nergy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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

An ice skater performs a pirouette (a fast spin) b2;m2nwy. w0yvue rz.c w-t ;a84n dzwoy pulling in his outstretched arms close to his body. What happens to his moment of iwa;0;cd v2wtw wnz. ynou 84myzr-2 e.nertia 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 conservation of angular momenc nu97w/hsxp; gi,m.itum.

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 Eara,qxa*b:,2pu6j-)z xj x gb sxth travel in a three month period in its nearly circular orbi*6,x2:s ,j x)abq z-gau xxjbpt about the 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 m. What distance does the tiu7. vvr-pcao* p of the second hand sweep through in 3 minutes and 45 s7vuvp.orc a -*econds?

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 rev0hakk1v o u .mmzy:4w:olutions 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 revolutions in 4.0 s. Whac2dhp6p*u ic b8 w(w6tt is the frewbdcih68tup*( 6 pwc2quency of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses a ezhb:c+vb4lb4 y 8a0st a frequency of 0.40 kHz. The pe4yeb0+hl z c4s8vb:ba riod 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 rota5 r71nblr, kh8 ; ui,.xzqjwustes at 45 rpm. Through what angle does it turn in 0.20 s skqlrr;,7hzx,n.u8 bi1wu 5j?

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 will a point on thn rd lq:1 falcb.jf0j.-s*d(v e outer rim m.dl ql:drajnb .-jc1fv(* sf0 ove 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 revolutions in 4.0w 1lk h)oty oi5i+(pm6 s. What is the average angulait)5m1lk o( hp6iw+yo r speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly through*4pg.9jhsno*f 3ucou 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.u c39n*p jo fusg4h*o.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 skierm(rzgc46pwp;i eb k7+s 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 the trip in 12 m76 wrpcpz; k(mgb ie+4inutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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A wheel of radius 1.0 m is rotating with a constant -r dm5abesf)3angular speed of 2.0 rad/s. What is the linear speed of a point on t-f35 sr)ab edmhe 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#

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The cutting cord on a gas-power-autwvyg ;5 7f(7y qhsed weed 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 end of-;uyh7st5vfwa( gqy 7 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 v,,znfsix m41f ircvb : +72ana constant angular speed of 2.0 rad/s. What is the centripetal acmb i,1rffs+a 2x,7ncni:vv4 zceleration 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#

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What is the centripetal acceleration-l5 anc*yg8gf of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is movinycangg8 lf-5 *g 8.00 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a circular, rotating space s7yxu- p23ifv9k1l wzrtation (r = 1000 m) rotate 1k wvz-u 3fxrpy7 l29ito 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 fls .aqp1j3 c3oett(- ltat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided et(3-tqct .op 3 s1lajby 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 flatpk l0-au( l/ww circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static f0wl/(-lpwa ku riction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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A 0.300-kg mass, attached to the enx3 :yx.yxe6gl0 izk +1jr; kxud of a 0.750-m string, is whirled around in a iyzx;xxg3y1l. k+e6jk r 0u:xsmooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without slipping 10 m dow5tn )dt)yo7b qn a lane atq)n7)dt tb5o y 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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A wheel accelerates wit7 l(3so,wu4f(d38 vdslem yqoh a 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 acceleration of6jf+m w:(w m,h qsx4pr $4.5 rad/s^2$. 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 rotats;y s xnhjb7a hm4hjhl( w))v+9b5k8p e after starting from rest and accelerating at a constant angular whahvyp jxh b4; j)+h5m kl(nb7s )s89acceleration 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 w73dfo4jg6a. 8 b(ln)gpfkf wan 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#

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A Ferris wheel rotating at 20 rad/s decelerates with a constant angular acpem e,t6p0 jo)celera ,p) 0etpjmeo6tion 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#

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A wheel starts from rest and reaches an angular speed of 6.qq8.da h* w .naib/:nx0 rad/s while turning through 2.0 revolutions. qb h/aq d.niwx.8:na * 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#

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A wheel of diameter of 68.0 cm slows down uniformly from 8 ouwvo8g*35j +hh3*fx7w xkvl.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in coming to restx7h8u5jxv k3fgvhlo 3+ow*w*?

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 cmt s,afb;qe8 , y4cbb:m slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular st4mbb8a, ,;b qc:e fyacceleration?

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 27lex2.sf7*xd qr f ht8d 0s*o4xfrbmto rest over a disb72l8rtd fx hrm* xosfq40.*d2 f7 xsetance 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#

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A centrifuge in a medical laboratory ro:a7 b ex*s c;wgkh i5qg7vj4ipu52p2f tates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration befor7 22c vgwpkpba4fi*hu: j7;5ixgs5qee 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 tighj.hjgo/d /a ) z.zuka3yiu0 :bb8lld)tening to a torque of 90 Nm. If a 30 cm long wrench is used,ijzga/j l.dd38u/b. bao)uhl)z0y: k what is the magnitude 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 az .)7wp0eqwxof 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#

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A triatomic molecule is modeled as follows: mass m is at the origin, mass o,c5lu4 wu nhl0o;ox)2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the4o5cwxu;lo 0 lou,h )n 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 thought thei;4r20czv w rsraa 35m3rfnb 3 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. (See Fig. below) What is the angular accele3bv fw r53rnmis0r43r; z c2aaration 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 frictionlescu h w))hbyfn ma,;5i/s axis thought the center O. A rope wrapped around th/hhmun ,f5by )ai); wce outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. Thgdw d*z :p6/n/h1i m,edurf ..id+py he rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acce.gn.pfd d zdiy,we h+dh*61:ir/p/ u mleration 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 rid6n; golb6oo)2vcsrcvm ))3u79 d ko ing of radius 30 cm 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 without sliok b6)ooc v9dc)smvud2g)6n;r 3 7olipping?

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 wra1sv uo*ae8 us8zdgd6; pped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is * z8o g6vua81 usdd;sethe 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 ofe11 g36r vvivq mass 7.07 ke1vg 1rvv3qi6g and radius 66.0 cm. What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel canx5c5z -fd9simil .0e r be used to store energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inerxo u; o9rif4mu,k1-m9l)p gwktia 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 rest and rolls with5 swzbot(1 f2:.bvpzuout slipping down a 1.0-m high inclined plszv5:puw fo12t.( z bbane. 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 rad empcoxh7j;-17xwn)o 2nfsu4 ius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before coming tsxh4pjmne;2c 7 wo7)no1 fx u-o 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.zpm 7y 6boy;o released from rest and allowed to roll down an inclined plane. How fast is it moving after droppz7y.6o;bm yp oing 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#

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A solid sphere of mass 1.5 kg and radius /d2m 3l+uam1 n/ldatf15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from3ut mna/2lmd d1+a l/f 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 changes bbcs;o2 qn n3d5y $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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

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78#

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

An ice skater has a moment of inert4+:l .,a( id7gut c+3okdoj qw s2kgylia 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#

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

A figure skater rotating at 5.00 rad/s with arms extended has a moment of inertylw- fct wa34lic +7b9ia ofc37 l+acfy wi9w l4-tb
$2.25 \; kgm^{2}$. 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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