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

1#

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Angular displacement ing+-eigyfed -df;fjpi9.; k 8s 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 2buu *extz torz5/k2;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 is expressed in units ( )ltchoc)qj( ,rs:oi;1ahsvcg c,1n5 .adefof

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-r(sm ft()m zty*ound 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 di)ts(z ytmf(* msplacement?

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 r6umabgo ;bf7zbp q/ r49h,s5tiding 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 center.gmq7 4obfah6 ub9 5 pr/sb;,tz 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 const5y 1gzvtvy*7xnd )(h yvna2h9ant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speedg zat yn57dhv(x h12nyy)*9vv?

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-rouc-; px y5g.pxdx fc:vw-q:z. ond 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 greater centripetal af5dpvc-w:pyo qx- xx :;z..gccceleration?

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 mqx3q qtou)0c, 4rr5e eerry-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 greater tang0r5 qq)e,4 ux 3eqorctential 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))or9i+socynn jpz /fu rm -38 accurate statementp -jro)r3 +nzfo89icny)mu/ s?

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 depoqp+yq-r)2a y ends 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 fo ahdcvus/ep7h *:x86 erce is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts t8/6:c ev adpuh hsex7*he 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 applie 3,bonmu 4x5ggd to a door at the doorknob. The first force is applied perpendicular to the door; the second fmubx5 4go ,3ngorce 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 dod (ye9) fzj1qrorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque of t1z)jredq 9f y(he 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 an1 u7(jh9qkuuds-.abbe95 mdlb z)p n * object's resistance to changes in rotati.jdqhna9)uk5(bu*duzbs 7pm b e1 l-9on?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diam y w;6ipx4zk qqoa4b+*ks**vjeter, but one has twice the mass of the other. The raop z6b+ wksq4v xqky**; ja4i*tio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice t oi d 3sz/j i+fs8pc81iu) e1iegwer-*he radius of the other. The ratio of the larger spherp+w* eu gi r/-c8e )8siedoi31 fiz1sje'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 sl - u jzizxnh3c+nhm8vs7;mc8+r i *4hpheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment c8- hnrc73 ix sju8+;+lznzi4m hm*vhof inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are intgii 6lcs2s3m,l( u/dydj7 v v 3v4s/ycreased to 2M and 3R, what happens to the sphere's moment of inertia about a central axt3duv7 3d,s/lig mi/cv(2 yjv sl4s 6yis?

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, t*r,a; 7 .xlw,sev..3izc9dsknft cwohat 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 isv2.+se2j7uq ;ylsj i n given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its t;sn22l ji7 yvj .se+quranslational 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 wu5 hu-t+c * w 56ckxns gh,s19pawkt8pheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels x -u5*awcgk t sk,9h n8pw +us165hptcare 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)2mrhgu zlcu ko/47,m kkd 32w slipping down an inclined plane starting3m,2w2z 7ou/rc4kk)dkuhg lm from rest. The linear 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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23#

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Suppose a solid sphere of mas 5)uk,xwe gp+5b fzq*is M and radius R rolls without slipping down an inclined plane*g)uiefb x 5q,5k+zpw starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles changes when a net arkd)3 u6ll q5external fkl35l )u 6qardorce acts on the 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 )gv/fm.ix(. h/mdsvbparticles change without any chavd b/m)m hi f./x(vgs.nge 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 elliptic b+n rgu)5 mp9da*av*ajf2p a5al orbit. Ignore any friction which may be present. What happens over time to the Earth's angular mov5* dgu+rb 52)jan p amfa*ap9mentum 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 En5h h/6;o+dj sgd-*jkcot; s warth moves close to the Sun, then which of the following be6jwkthocddo;-/ hss5gj +; *n st describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette o q*5f* vwj++tn9ept0w/yy bskbt 8* p(a fast spin) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis of rotatio*wsy+f n+b*tq k5pjv twye/0p tb*o89n?

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 pirouette (a fast xm4*qd4l: axpspin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic *4m p4laxd qx:energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette (a fast spin) by pulling in hiuv d -bp(4ox0xtn a24fs outstretched arms close to his body. What happens to his moment of inertia about the axis of rotati-u4b4fxnx0apo 2t vd( on?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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State the law of conservation of an9cr.47e7 re 8kk4oafsegrpa7gular 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 peiq .tj54rxvg8dw)hyx u * .2lkriod in its nearly circular orbit about the Sun with a radi t2ydg4ukj. xw8)v5 r hli.qx*us 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 cy:pst5mw 0k cx pmda; ()3u*lrlock has a length of 0.30 m. What distance does the tip of the se5sk3*y)p0m dc p:urmx (at; lwcond 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#

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

How many rad/s is 25 revow3c q) bqyru10lutions 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 revolutio9g hig 0 glt,m8k*jh-vns in 4.0 s. What is the frequency of the wheel's ro9i*v,lg0hggm ht8k j-tation?

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) em7vx1;xj -vitd its pulses at a frequency of 0.40 kHz. The period of vt-x v; 7ixjd1its 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 o)vft2y m2ktb6c g/ 1o,z xks4does it turn in 0.20 sttvk2y o2s6ocg1/kmx)4 f b ,z?

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 the outea0anya9r z85ivtfa7( r rim move rn 0a5f8ta7ya 9(avizin 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 unifo +04vt bdq*gedrmly through 2.0 revolutions in 4.0 s. What is the average angular speed of* tdv+g4e q0bd 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 2.0 revolutions in 4.0 s. Wdsbt 917re6dsj) coi3hat is the linear speed of a point 0.10 m from the center of the wheel?io17rsc j 9e6sd3t )bd

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 resorhs2gv v99dt0s t 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 slippage, how fast must the pulley rotate for the cable car to makh9 v9vgts0d s2e the trip in 12 minutes?

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 angular speeuoc jh qv d(rr65)y;w8d of 2.0 rad/s. What is the linear speed of a pointov)w;6yh 5 udq jr(r8c 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#

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The cutting cord on a gas-powemuf( v xkcu-en +m),0d(*py du+b,kohred weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 r( + -ec0uh b*(x+ mdup younm,vdf)k,kev/s, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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A wheel of radius 1.0 m is rotating with a constantn4s k+syz+f0mz +)v zt angular speed of 2.0 rad/s. What is the centripetal acce k++ tz s+mzvyz)0sf4nleration 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 of a point on tsr*lovdwm 3c 1 gi/5+fhe perimeter of a bicycle wheel of diameter 70.0 cm when the bike is moi1 vw cg+*fsm/3l5droving 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) must9* nk6borfwt- a circular, rotating space station (r = 1000 m) rotate to produce an artificial grbn*6t-k fo wr9avity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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A car is negotiating a flat circular curve of radius 50 5gwj/lxr92 lqm with a speed of 20 m/s. The maximum centripetal for g2lrj9/xlw q5ce (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 radiuwo4 6:c31tdkp: jriuas 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction) is jr:6:4du iwa t1okc3 p$1.2 \times 10^{4} \; N$. 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 tehcqjo7 55o5xwj; 3f mhe 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 speed can the mass have if the stj7j5wex oqc53f5;mo hring 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 7kr yndet-m 53:.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane a:t 5yd3-rmnekt 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angulg+/ss 7rz2 ogwtcifyg h8+5w 4ar 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 acceleratio+ffd6-8fg(-z:p lfko ;p0iefwa+jv mn 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.6jlf0w hk cd3 0.300-m radius automobile tire rotate after starting from resjfl w d6k3.h0ct and accelerating at a constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an angular accelerationqf )4sne;i;qs 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 rad06hvwijb ;gjwi5dr6e:32 y nm/s decelerates with a constant angular acceleran6e5gvr2; :ij0iwmdjb 3 hw6 ytion 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 6.0 rad/s while t mi/y/b0 dqo.furning through 2.0 revolutions. What is the ave/ofi0.yd b q/mrage 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 h j//bs:h -vd0 b(zn luap*-alcm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotatehh/jnu bb-laa:/-v0z*( p ldss 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 fz:hiag -b b9f(too++j apg *p 9,kthp7rom 8.40 m/s to rest over a distance ofj :hzat,79a-( opoib9kgfp *+ thp+gb 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 fb c*g0f1zqm6crom 8.40 m/s to rest over a distb0*z6 cfqc1 mgance 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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Mark Problem

60#

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

A centrifuge in a medical laboratory rotates at a rotational speed . neec/8v9jbbimqnwye5eb6 o id02 pg 22 *g1eof 3600 rev/min. When switched off, it rotates 50.0 times at a constab0e6 w i5* o8/cyjbinde.menvpeeg9b21q2g2 nt 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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Mark Problem

61#

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The bolts on a car wheel require tightening to a torque ux /rzqul0gxe zctn7 (/.q6qp0tjbg - c3i5r1of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the forcp q 675 0bqc cl/nur.i0(-z3texjzqt/uxg g1re applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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A wheel with moment of i2n,k ggqm2q4y.d (inwnertia $3.00 kgm^{2}$ 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 j h:mqd27h *gkas follows: mass m is at the origin, mass 2m is at x = a,*:2 qkjgd7hhm and, mass 3m is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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A solid cylinder of mass 10 kg is pivoted about a frictionleb ah-qv:p1x4 k7,mgr mss axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, brv1m 4x7-mhgkaq :p,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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Mark Problem

65#

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

A solid cylinder of mass 10 kg is 6:vkpoey;/ ph pivoted about a frictionless axis thought the center O. A rope wrappe epp6y ;:/kvohd around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. The rod is initially held in the hoxk-,-gst9g)ynwcr w9g; r;dl rizontal position, ann);r9yg g ,rxw -wdsltc9kg;- d then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

A. $2.45 \; rad/s^2$

B. $3.68 \; rad/s^2$

C. $4.90 \; rad/s^2$

D. $6.75 \; rad/s^2$

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67#

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

Consider a bicycle wheel to be a ring of radius 30 cm and mass 1.5 kg. v2m:;yqs6wl n 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, whm2lvqw ny:6; sat 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 of masso62u- lneh ru+ ypm/.nh6l;rb 7rlluruy; h.h+66men b 2-pn/o.07 kg and radius 66.0 cm. 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 r7d 4 knoxsr*sg+u7fg8ope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the as7 d*g+nforku 7sg x48cceleration 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 requ0wlvmno9 bb4eh5 d0h4/hvar(ired to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inertia t,tbv)x4vu 4 h o9s8ieof $5.00 \; kgm^{2}$ 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 resmbs+je9ntsl6v 93 qe(t and rolls without slipping down a 1.0-m high inclined plane. What is the 9meej sqlb9(63n vt+sspeed 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 rjl0 )dy w3 g4dy(t5w8rauet 0nolls with a speed of 10 m/s. How high up al (yt3)wtdy5ruag n0e0dw j48n 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 a4tc/pn rbot8 s :eo*8db+t 3qj mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving aftern+o8 td/t *o3:jb4rq cs8pbte 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 ra3+p: m xm; s;eq9hihcndius 15 cm rolls without slipping down a 35e incline that is 7.0 m lonph;mqxmi;e9h c+s3 n: g. 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 momentfev7ok vfu(fs :)vo9g * mah3*um 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#

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

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

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

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

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

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

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78#

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

An ice skater has a moment of inertia ohg,rzm*2q ,e3ldg .it f $5.0 \; kgm^{2}$ 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 tjp)38ho*bleof inertia oht) 3o j*eb8plf
$2.25 \; kgm^{2}$. 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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Unused Images

Used Images in Current Log

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