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

1#

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Angular displacement is usually express i. sg(o.d:kg- zca(immgsak7 ;n units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed i+7taqu un ro/4n 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 ihh 5f q0;hm whbocs,ai*-0 0vfs expressed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on a merry-go-rouns- ka8 f beot),mf*;dnd 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 displacement?fa,;dsmtfen b -k8o)*

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round which is turning ln0b 1hwh xendkd+s 3;ce,4o9 at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular speenbex 1w,+chh49;3ne ld sodk0d?

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 onqd+kwv *o6b3mu k r-v3 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 ce 3-um 3d6o*qbv+kwvr knter. 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 risa7dsk/ 9knpq (v1x.a ding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center.d79vkax/ .skqp n1 (sa 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 isg+ bbz zau48t. turning at a constant rate. The boy is near the outer edge, while the girl is closer to the cent+z8zgb. b t4uaer. 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 tor.qyl nl4gu9;/,hqhmz / 7zthat is rotating. Which of the following is an accurate statementrulozq74, ;//.zmgqhh nly9 t?

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#

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

Rolling without slipping deped4me lsh979s dxgxg71c5)jvhm k 6, ygnds 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 d o9krynlz8 6:applied to a door. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the rony z d:86l9kdoor. 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 fir 4ats.gv-vvsrx) 4,21v o3l b/gvqsrast force is applied pxs2b l)4q/a3.a vrgvvgs1ot , 4v-rs verpendicular to the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The first fo1 24yg zl9ldonrce is twice as large as gdnly12 94 lozthe second force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an ju )ski.k -y, /nv ke+bs6ms9kobject's resistance to changes in rotation?y k+/-9s)ssi kb.ukjvek6m,n

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 d 0*jwk9:cwv 7jfslf w:iameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of7 w:wwf0j:fv 9jkcl*s inertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice the rz:l3o0r m9)v l5jt jyrei*m .radius of the other. The ratio of the larger sphere's moment of inertia to that of the sr53 l0otmm*).l:yj9vzriej r maller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform so*v ajvvbs(ezho3 y ++:w5sl ;m a:tz6vlid spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia t msb*owv ysv5vtzv :e3:zla 6j +h;+a(o 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. b.-uscof5u 2v If these are increased to 2M and 3R, what happens tc. su5o-fu2bvo 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 e6k)rrsh .z xb0; ce7twill

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis is givw8ot6heq-ug81 ou s-pen by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetq-o uo 8su1gt8 e6-hwpic 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 . :g ) 6h,+z.jpol mw8fnqwocnof mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the mwogl z.68cn, q)fo:j.hwn+ pbike? 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#

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

Suppose a solid sphere of mass M and radius R rolls without slipa2 h s9b;aj9mqping down an inclined plane starting from rest. The linear velocit9s aaj 9mb2;qhy 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 mass M and radius R rolls w*wjy f1)q)/rfj8le nwithout slipping down an inclined plane starting from rest. The angular vel)e y/1jl f*)j8fnw wrqocity 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 wyli 5wz 8 o qsi7f4z/+ru*kqp1hen a net external force acts on the system." Thisryk 4u/wq 5i8s+i*zo1lp7fqz 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 x/0kqztak 0c -bt* q;lparticles change without any chantxaqk00 t;/- cbk zql*ge in the system's angular momentum?

A. This cannot happen under any circumstances.

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

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

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

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26#

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The Earth orbits the Sun in an elliptical orbit.ewku4dez505tko n2 g / Ignore any friction which may be present. What happens over time to the Ear4eugok0ed5nwt z k25/ th'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 mowa 2eo zg;pa/,2plqw: ves close to the Sun, then which of the following/ oe w; pwa2gqaz,pl2: best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spinu,mdj u1)t9*a7j hi i6qgp+r8m zj w8j) by pulling in his outstretched arms close to j h8)qmptmw 6r9 ajj dj,8igu7z*i+1uhis body. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette e/ls n6 y(3njqmu 3g.xn2hn 5l(a fast spin) by pulling in his outstretched arms close to his body. What hn je(6 xuy3m32h nnln.lsg5q/ appens to his rotational kinetic 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#

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

An ice skater performs a pirouette (nokyht26b b3pjww4m -*i:ou1 a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertiam6yo1*w i2-ut:jbo np wb k3h4 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 conser x(m7e.7(,e aiter gijvation of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does tz k j. v5rse)c2j(v+ndhe Earth travel in a three month period in its nearly circular orbit about the Sun with ns2 jve+ jdz.k5cr)v( 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 len:h*v* h utq0wzgth of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes and 45 seconds0h: qvhut*z*w?

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 revolutions per minute equivalesdc +k4ndxoz8 s1 ,m9knt to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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

A bicycle wheel rotates uniformly throrsj ;q wkg*hd4,8hcg3ugh 2.0 revolutions in 4.0 s. What is the frequency gg4dsj; q*k hr,3w ch8of 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#

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

A pulsar (a rotating neutron)3usza hmbg sg,/npy)s d(6g, star) emits pulses at a frequency of 0.40 kHz. The period of its rotatiobmp3sz /gd6n)ss,)a( gugh, yn 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. Txxteq04:yf 824zu 0t:a ty olrza09b nhrough what angle does it turn in 0.20 bntx tu0zyqyaazf4l4 0 o0 :2ret :x98s?

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 vml zy/e7 uu1.6 .ghscfar will a point on the outer rim move inc./.he 7suyzg6v1mlu 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 4.0 s. 5ysj7l jf9fz:w55tk; x,vo ar) wl1oy What is the average angular speed of the whesxzl: v j ,5k5awo1yo)l5;wt9y7jr ffel?

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. What is theroe;dw1(u* ait1n m(n linear speed of a point 0.10 m from the center of the wheelu1 *iwnm1r(d; oet n(a?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski resort carries skiers a distance of 6.8 km. eq4ms9 vvy z42The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippagym ve9 qv4z4s2e, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating 3mgcsq5ji / x 6+b 32fpkmpbd9xf(x5wwith a constant angular speed of 2.0 rad/s. What is the linear speed of a point odjp 3ifxs w bm 6+mgx2f5(5/pcb3xk9qn the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 0.16 m in length. Ia1u( b5 z5i b cvircu18f5soh.f the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of the end of the corbczu bi 1 hc55 i5.1aosf8(vrud?

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 :5 9v,y/ *nba;5gavt 1q9w esnodqw zwrotating with a constant angular speed of 2.0 rad/s. What is the cev, n;a*b:1y9w /sznveadtwq w5q95 ogntripetal acceleration 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 pointmtyt3.a 861klzh,o bpch(;t h on the perimeter of a bicycle wheel of diamzltc1o ;hh.at, 8hkt(bm63py eter 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm) must a circular, rotating s5/bk;finr f5vroc-w5pace station (r = 1000 m) rotate to produce an artiforfk fn 5cri5 ;v/bw-5icial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve of radius 50 m wizrlnao*3bp 5f ;m*4hb th a speed of 20 m/s. The maximum c pr*n z3bbm5h;4*alof entripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curh2- m,;t4pk/g o crhbnve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by stathm4 ; b2/tnphr,ko-c gic 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, attac 1r8,4 vl+v8pyf pgebzm)3coe hed to the end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 2z)e3fv co84byrvg1, l p+mep850 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 3 vkej(fzv.h:.5 kg and radius 9.0 cm rolls without slipping 10 m down akvf .3z:h (vje lane at 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angular a x3 ohvmqyg5xb7a)/ 3ucceleration 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 constanwaz.7wsr o8 b:gxl6-zt angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m radius automobile tire rotate after start :luh/+y cv5rming from rest and accelerating at a constant angular acceleration of vy+r:/c5mh lu $2.00 \; rad/s^2$ 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 zw .z*uf1yx9 ian 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 decelerates with a constan*x0:hcl17 1mx 5j+vszk2luk uegjq1lt angular acceleration ofz*llxm2k ckj 0e:sl7 q1j51 v1gu+uhx $-5.0 \; rad/s^2$. 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 qnrkszhh 3a30u)div*m up6( 2g5jx i ;turning through 2.0 revolutions. d5k6) i pvqaru;j(uh3 n0hm*2 sgizx3What is the average angular acceleration of the wheel?

A. $0.24 \; rad/s^2$

B. $1.4 \; rad/s^2$

C. $3.0 \; rad/s^2$

D. $9.0 \; rad/s^2$

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m1ttrn.fc+4 i qn/kqd 8 d/ccj8/s to rest over a distance of 115 m. What is the total number of rir dc+f nj.d8tcn c/qt14q8/ kevolutions the wheel rotates in coming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s pxw(xa 3 gphdc317o h)k37hoito rest over a distance of 115 m. What is the angular a3pha 7ixxo731)go(h hwk3dc pcceleration?

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 uniformln,j8d5s a k;ahp6e+.u sm pd +wsha/;xy from 8.40 m/s to rest over a d+s sn +m/p kspd ;a,ejh 5dux.;a68wahistance of 115 m. How long does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational speec0 ust5i 1dkw4d of 3600 rev/min. When switched off, it rotates 50.0 tiusc 1 4tkwi05dmes at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheel require tightening to a torque of 90 Nmq9+eej c8 5keog;*ob b. If a 30 cm long wrench g5o;oe 9b+b c8eejkq* is used, 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 oz5v*yk qp9t+qavt k/ *f inertia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

A. $0.857 \; rad/s^2$

B. $1.17 \; rad/s^2$

C. $3.00 \; rad/s^2$

D. $3.50 \; rad/s^2$

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63#

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

A triatomic molecule is modeled 2/47 bxrwgbtvde6 jue0:sn0ras follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a.n06wuvrj4 brx:tbs27 de0/ eg 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#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless guqm*e)0hwx.v krb jp x)o 39v1e:x-o axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts1 q)x ro o 3-khmj9pvxe x:0.*uvgebw) a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg is pivoted about a frictwj/ v0 *l3enn 9cgs)cpionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 second30) nws9 gpn/ *jlvcecs, 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 lu 6 kt*znqo)7initially held in the horizontal position, and 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 e z)qoul *6tk7nnd 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 6yb+a/ 1y7 j3pi74d.bk0 t9 :qkemfur ixkcn wa ring 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 sp.i7c b7m +kb:3jqkx 6yrk 14ietfy ua w/dn90peed 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 pj4 qt nl5ynjzv(3o9k: ulley of mass 7.07 kg and ravtqj5lkn 4 o3n9:jy z(dius 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 rope wrapped around a frictionless disk pulley of 7kv g35op ,aepmass 7.07 kg and radius 66.0 cm. What is the accelerato3pae5 vp7, kgion 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 required to storel,e4v/tsj ed: ih, c6e $1.00 \times 10^{6} \; J$ 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 ofq8fxv3u*5o 4 klnbv a6 $5.00 \; kgm^{2}$ 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 rol 9)qhjc4 b1r(x out8f0. zcqlbls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inqcfth u)o0c b4zqb jr1.9 l(x8clined 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 rolls with a ukl r1+oalp2.cs k r.(y/nth4 speed of 10 m/s. How high up an inclined plane can it climsrpa.tnrk1(k4 hclo.l /yu +2b before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is relec;d 69xr;nc mbased from rest and allowed to roll c;cx;mn69rd b down an inclined plane. How fast is it moving 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 kkb vejr 2,p92wgs *7cgg and radius 15 cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphereresgb27pw2kv * 9gc ,j 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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An object's angular momentum chanku1qd qi8g.- kges by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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78#

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An ice skater has a moment of inertsy0vko xy/o h5/vc-(sf eo+f,xm9jh/ ia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.00 rad/s with arms extm8q6rnxwg r36 zru:n- ended has a moment of inerti:3 nugxwr nz6qr -86mra of
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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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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