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

1#

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Angular displacement is u7gnleoiw sb)gv ) :-z puk;r4 -z-moi+sually 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 unirq o49i gh52+9:.+0ps yswzubqdd kfmts 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 ex. l.dtmtr4tt ub)+p 6 h74obltpressed 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 areo4mwiu4lsu t- c595w h riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, anwumw4l4ou t hc9-s55 id 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 whic*c /zaq qhnz.w- waez2:(za.ih is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the2c.i n*.z-e az/qa :ahz(wwzq center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a mer74lx2r 6 iod:0lzvd uffo/z)sry-go-round which is turning at a constant rate. The d2u xri6o lo:/z 7flzfds40v)boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

C. Both have the same non-zero translational velocity.

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at a constahsq;w pj r(i,hm8y).ant rate. The boy is near the outer edge, while the girl is cm a iqj8.; ,)srwphyh(loser 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 mp *h,oxbk 4h snw 03u/3dab9hjerry-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 tangential acceleratxhnos 49hd bk0hw*3j u3p,ba/ion?

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 i2,u u vz (:3veubh8gais rotating. Which of the following is an accurate stateme uv32zau hi8vub: ,e(gnt?

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 slippingi:ow ny 3avb ,89y+m1dp.gpfv depends on

A. kinetic friction between the rolling object and the ground.

B. static friction between the rolling object and the ground.

C. tension between the rolling object and the ground.

D. the force of gravity between the rolling object and the Earth.

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11#

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Two equal forces are applied to a door. The first force is applied at ts9 k ceuk4uug5/f pcr u3,qpf0yoe+ew(,r 7h-he midpoint of the door; the secondefku/u93 q 4+rsf(,c 0ugp weko5-7cre p,yuh force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The fi w 6, +y,.ovm3af 78 e z49cyi.vcgjeszqev2rorst force is applied perpendicular to the door; the secy 8mgroie97.cz4 .v+jfy, 6 ovs3,z2vcweqaeond 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 jl 6b6w-m7;alu-btcit,2cjjw y 00 h ta doorknob, perpendicular to the door. The first force is twice as large as the second force. cbitt j;ajh,y uc6-j6lt 0 lw-2m w07b 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 object's resistance to changes in rotj4: ecporu*4h g7.wb gation?g ecbw4u:r.4jh7 po g*

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid ;s sd:x6ut 7ke3dpy /qspheres where both have the same diameter, but one has tw 6spu/ted qysx kd:7;3ice the mass of the other. The ratio 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 ;81o7o2d s61yyzn iexywanh5, but one has twice the radius of the other. Thyny7 11 d iso;62z5yxae n8wohe ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and twice the -mxjfap1*k (tcu:m beft.ha 8a1.iw 8diameter of the other. The ratio of the larger moment of inertia to that of the smaller tkumax1ac.(t.j me1f h ap88-w :bf i*moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these areizgr08q i7my 4 increased to 2M and 3R, what happens to the sphere's moment of inerti8gi 0zr4 my7qia 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 obnuiv 46;z xeq)ject, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis is given by 0.5 ,hth8vdz8 t l;MR2. If this cylinder rolls without,h t8t;zhl8vd slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 10 kg .p+hd2wt tghs1g v +0 yv;x:bwand 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 s.+w 0t:wpb;yv hgtvg12xh d+ the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without slipping dowv8bux;;d ,u4 rzalb3xn an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline depenu;raxv,u x43bzlb;8 dds on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without slipping down amh 0xb3i2yhk)ef6o n ;xd/5ten inclined plane starting from rest. The angular ve )65xnheodh0ye3 k/ fx2bmti ;locity 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 rorc t(2ab(oc8*qjqu) : t+gq a net external forucj)tqbt: a q(+ 2ro*gq8rco( ce 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 kengj+9 0sy3q b.sh; xof particles change without any change in the system's angg0 ksyb;snq+x je h.93ular momentum?

A. This cannot happen under any circumstances.

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

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

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

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26#

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The Earth orbits the Sun in an elliptical orbit. Ignore any fricti 7w64sm oxwr(xon which may be7wmxosr(x w6 4 present. What happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about t qama +yb:/ft59h1yg4 vhgdj-he Sun in an elliptical orbit. As the Earth moves close to the Sun, then which 94yd/yfhgjgma1+hb 5 t:-vaq of the following 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 spin) by pu6j vq u(zc3 5d5o**kb, trsy sr;-pzmolling in his outstretched arms close to his body. What happens to his angular momentum about thrs *co-qbzs ,kv35*6 odtzpyu(j5m ;r e 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 pirouettp- ubouk(v h9xhyc2 a6.+vs*plt 8-ys e (a fast spin) by pulling in his outstretched arms close to vv-uc+sa9pko2-s h 86 b.ptlyux yh*(his body. What happens 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#

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An ice skater performs a4y-jwu7 a6 lqc pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about the axis of al yc7w-uq46jrotation?

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 x9n. cyne,s-0cm w85leuz;vx of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its nearly cskh++keu;+ f.c/zf wxircular orbit about the +k fxs;+e k+c .zufhw/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. Whuq7( 07nv mrfknz9x u3at distance does the tip of the second hand sweep th0mu7kfx z73nnu(q 9 rvrough in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minute equivalent t7 9pcwbn )5(g d+o4;bhae)0ls :lmui3kqwghyo?

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 throdr7qearp ,9 c7ugh 2.0 revolutions in 4.0 s. What is the frequency of the wheel'sprec,rdq7 a9 7 rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequen1tos7eq-o m g9cy of 0.40 kHz. The period of its rotat7t9q1s eo mo-gion is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through wha*alm,z o bypj,mz y f.873+0 d+tpdjhdf/bn. zt angle does it turn in 0.20 sm3b l +*7dfdfy/h.., zpd0t, zm njoyzaj p8b+?

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 t :8mot/7heckl ol.wh/he outer rim move col.eh 7 :hl m8kwot//in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. tyie ;a n4 m)y v+eg;06tzibp4 What is the average angular speed of;0zeby)gmyt n4 aie64;v +pti 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 rym6u)t s 77/kts* sisa k3wra,evolutions in 4.0 s. What is the linear speed of a point 0.10 m from th u7 kss s)astywit/67m3a ,r*ke 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 skier 8pw kw045oacb yty54bhzol;f3 p)+prs a distance of 6.8 km. The cable which moves the car is driven 83 + yyo cbpap0b4pwh4trk 5)zl fw5;oby 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 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m is rotating with a constant angular x9v+sv . h exw,0 cttg7*bm;:wxo)xslspeed of 2.0 rad/s. What is the linear speed of a point on the wheel's rimoxt;vv g:7,clx s0x+x)* wbm9 seh.wt?

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-powered weed cutter is 0.16 m in length.51 fs,,gwq ,2mbygi 7jdi3i rx If the motor rotates at the rate sigg,w3fiq5 d,ib1xm,jy7 r 2of 20 rev/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#

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

A wheel of radius 1.0 m is rotating wid0lngs 7m(xk8qddc*1ea5g ujfns3 :6 th a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on n 3g( k *q :cedass8dxnf6l17j 0ugd5mthe wheel's rim?

A. $0.50 \; m/s^2$

B. $1.0 \; m/s^2$

C. $2.0 \; m/s^2$

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

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45#

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

What is the centripetal acceleration of a point on x (y,4wrbonr6p5fmn(the perimeter of a bicycle wheel of diameter 70.0 cm when the bike6w 4 yfro(m5(b,nn prx 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 pein *h 0eb:2l5j2hu0j p ef 1t-wekd/ier minute (rpm) must a circular, rotating space station (ri *u2w/2 1ehtleeih j0d0 -bkj p5en:f = 1000 m) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve of radius 50ommfp nskp,t 7 (/+fot3jvz)) m with a speed of 20 m/s. The maximum centripetal force (provided by static fris3vo j/zn( ftm)7)m +to ,pkpfction) 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 jkr ap8 .2oe;h/fhmg *a flat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (pr/g.rj8e2f pmhhka ;* oovided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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A 0.300-kg mass, attached to the end of a 0.750-m string, is ck.2v*mjv9al6hv0n fd ve ,o2 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 9ehm20 avd2v * ., olkjcvn6vfhave 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 z*(r bc6e-ie.3 bx uu evdhd);and radius 9.0 cm rolls without slipping 10 m down a lane x euu.-6;rzhedc( ievbb *3) dat 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 acceleration of 0tu g;j ul9os.3r3yl ;rg9;wtsw5ree $4.5 rad/s^2$. 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 ccr5jer z)t43 zonstant 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 *lzj (c9k nn:bradius automobile tire rotate after starting from rest and accelerating at a constant angc(jzkl* 9nn b:ular 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 an4 94qjj ogiq 4u9wb4lugular 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 constant angular acc-*uggvgk m):zza2 d+celeration ogad+* v 2m-ggck:z)u zf $-5.0 \; rad/s^2$. 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 and22c i k*)hzgcl reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average 2*2c hzcik)lg 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 8.4gx)*uy7w5;if5miwx c- oe9yw 0 m/s to rest over a distance of 115 m. What is the total number of rev igwi-75oxe9w 5*f ywmy );xcuolutions 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 ofpx 3dec6n0ozrf 85 m6 xb5h2ik 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular accelerati6hi5 d3o 8rpc0m5ez2 fbxn6xkon?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to rest lbc r), lnzh; q3s7nx.over a distance of 115 m. How long does it take for the wheel to come to t h7;nslbl xcq r.),n3zhe 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 rotatih76 rvwl2tf1rx3*h k tonal speed of 3600 rev/min. When switched off, it rotates 50.0 til xk16h7th 2f*3vrrwt mes 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 Nm. If axon: v.i2*aa8r t ct(t 30 cm long wrench is used, what is the magnitude of the force required when the force applitn8.c(:2raavxt t *oied 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 ofh7vv -u 8g9uxdknn7)cs6q/ ix 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 as follows: mas +e2bw r(yerz;mg/9m fs m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the momr;m e 2+(yzwbe g9/mfrent 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 mawyqc2074( bbs)i ,vt zih2q0yq:.cu wtw: xtuss 10 kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a 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 iu,w 0wc0hq(zb:c)2 4vt : 2b. qswt ixytuyq7angular 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 frictionlesxl1cka;v 22k 8fgo2nj s axis thought the center O. A rope wrapped around the ou82jk1 nakvcglf 2xo2;ter 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. Tha .do)br:aoq:9k .iz3 p,bhaue rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is releir. 3.oah9kd zu:boaqp )b :,aased? (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 o1*0lz;n8d uch y.1)iutw9lq eqn my-df 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 withou)8-1uu t dz m*.y9c liqlhy0qn1ndw;et 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 pu.ien(-poz kn0itk +rfp3b() zlley of mass 7.07 kg and radius 66.0 cm.krk pp)f (- en.0i3z+(ntiz ob 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 wrappe :i8w 62r5ffioq6d wzod around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cmiq6z8 do652ifrfww o:. What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store energy. If it is required to storeb on*z9ojt g yo50;mf: $1.00 \times 10^{6} \; J$ 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 :*wqcc26* pl -7ril lqtv54 -jesq xfzinertia 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 tns(n ud65693 :f gojp byepy;m starts from rest and rolls without slipping dbts63y5f: pno9 jp6ug(edn y;own a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and radius 0.01th )1..f0-lw ebkrd rm0 m rolls with a speed of 10 m/s. How high up an inclined plane can it-tew r fr hmb0d.)l.1k 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 a masosmszk d)7s* 6s of 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after dropping a vertical distance6dss k* )7osmz of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls withof b /xt0 g)zh v rt2vji:1x6q6y+d+czeut slipping down a 35e incline that is 7.0 m long. ie+t1j xg0xzd6vcrtvb 26 z)h:/q +fy 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#

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An object's angular mo(,xcd -ukvhzg-g /p8j mentum 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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Mark Problem

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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Mark Problem

78#

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An ice skater has a moment oqt-wx4.lutf*/mbj bok/ :1xy f inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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Mark Problem

79#

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

A figure skater rotating at 5.00 rad/s with armjw f ox;delq7u ;icqxy z -,e06.q7e-ms extended has a moment of inertia oe l;ewefc-qq.ox iu7j6-0m7,q z dyx ;f
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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