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

1#

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Angular displacement is usually express ifx j /-s,y x p8s3hi5djwh j2d83*pjoen units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in units 4l ep .snp//f ))5y(fxvbyjvnof

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 it0ck ikw -1/wsn 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-round which is turning a ,wt)54p+u7-ftbq,rs sn ftlat a constant rate. The boy is near the outer edge, and the girl is-p 5l, sf)tsutw+q 7 rtfn4ba, 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 m :/0o efnqcyq:erry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular sq :/yqcne:o0 fpeed?

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 constant :5lu j/(vkupo- ewx-oghnv 3 (rate. The boy is near the outer -v3-e(xolowg /:nupujv( kh 5edge, 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 4n9qhd )/zp2nzp:no eriding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to tnp:2p/z od enh)q94zn he 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 a4v47almfc 3; 3v*mu c/ogfdi y merry-go-round which is turning at a constant rate. The boy is near the outer edge, wh3 f7 om yldm*u/cvc4gf4 a3;viile the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

C. Both have the same non-zero tangential acceleration.

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body tha/ (yx gl51unidxjz 8n2t is rotating. Which of the following is an accurate stajgi 2nn18xd ul/(z5xytement?

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 n,:lzf sv.m:(hjvtp ) 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 the mit;5yqz 7oz/n k,2fgfu2gu a6cdpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicu /g 6,zo7kcfgu5qfu2yznt2a; lar to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The first force w0- 6qjfwb)dwis applied perpendicular to the door;bww-wq0j )d6f 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 d4(lvog5n,q o8t0 i*;pg sp5tti tygw8oorknob, 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 the sen8g8pq(tt,t 4tl0* wosgi5pv iy 5;og cond 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 o qn/.d9un 95:xxfnbpebject's resistance to changes in rotati5b x.n9qex9 d/u:n pnfon?

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 ston/*;icnp bf zqfr,1t/ ) vr7ame diameter, but one has twice the mass of the other. fr,/*t)qi /;1po tnnbvz7 rfc 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, but one has tw m 2yvadx h2k86lp.b:nice the radius of the other. T2l y.xhvd8k a2npb:m6 he 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 t pej-:* q zgxiek:o;8b5)tryw he mass and twice the diameter of the other. The ratio of the larger moment of inertia to ejor q:ewbi-x:5*z;ktpy g8) 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. If3s *he8nbs,z9fwzn n ) these are increased to 2M and 3R, what happens to the sphere's moment of inertia abo zfz 9 sn)3hs8*,bwnenut 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 objecvyk7n5b5jdvnou g;ks 1 5mmd e5n66p3t 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 ax8h jrv-:e1+noibf8sjwiw8z*wj o* (qis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy iszfwj+i:8oerjhviw q(8s1on- *w* 8jb

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 hat.- slim y,9x b)yx grucj-:r.kac7( fs 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? Assumust9.yl(r y7,j.f)rckaix: x- cm-bge 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 slippiex f.r7 y*k0qo:pkq 4vng down an inclined plane starting from rest. Theq4f:q py*7. ex 0okrvk 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 mass M and radius R rolls without slipping down an w ,xzgc4qc1yv0o;: kyinclined plane starting from rest. The angular velocity of the sphere ac; ,xv kqgw:oy0c4z1y t 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 chann9 2e(hn d4vxbges when a net external force acts on the system." This statement9hne dn4b( v2x 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 systw0fisbn u50 )1w(faxk- 4poddem of particles change withouak-0 (s)iwwd1fno4 bxf50 dp ut any change 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. Iw8dtv20*: asvnl0a-dm11d0 4bbhb xeowleu 5gnore any friction which may be present. What happens over time to the 4hx00:ubo1bb8 ldt-ae5maewnw v l s vdd201 *Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earljjhs62 )ul l fango ;qs:o57(th moves close to the Sun, then which of the following best d5ohs (n7;2u)6 fajljlsl o q:gescribes 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 pulling in his o+fo;raage *7 mutstretched arms close to his body. What happens to his angular momfara;m *7 +oegentum 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 pirouetknjetuccjo :,.9fo*8.+ *fvqu:,c2y qdu iid te (a fast spin) by pulling in his outstretched arms cf., :tnjuou.yc* k c2+d*c9duivofi ,qejq : 8lose to 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 a pirouette (h vc+ we1p*zw1a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of inertia about1 pww*z e+vh1c the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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State the law of conserva148mpz5 d rwy77r 9zrsphmay4 tion 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 the Earth travel in a three month per s4b 9)8ahvw7 u7xlq veem.3yeiod in its nearly circular orbit about the Sun wisy.qev8lu 7v3)74hxeba9 emw th 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. Whatricb8x rb0q36 distance does the tip of the second hand sweep through in 3 minutes and 45 second 3bxri cr608bqs?

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 equiva:bdqr-f d 0qe2lent 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 throutgcdb haq ;55* hd d3csxlzh*0r 4aq12gh 2.0 revolutions in 4.0 s. What is the frequency of the wheh1rqc0a dlag 5h3 d54s2xqzd*;hbtc*el's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emg7 l//pqir mnyey k307its pulses at a frequency of 0.40 kHz. The period of its rotapey/ry m7l 37i /0nqkgtion 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-g s1bi4b*jr f,dzo ,it angle does it turn in 0.20 s?ijor-f gd*, ,1bizb4s

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 zlt bl-wnt /x k;qg)2,point on the outer rimwql zl,2-g bt )t/;xnk move in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniform,n1wrzkb:k5 zjik: ;agr )sh8sd+ :nkly through 2.0 revolutions in 4.0 s. What is the average angular speed zakn r, bi::w rk d; z+j5)1s8nhkgs:kof 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 unoai 7 9fjrzup;* l,t(kiformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the center of the wheel?l zr;t *ip( ua7kj9f,o

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 yc:iik dsh;+jeh x1/k b:5cuu0 , is1rskiers a distance of 6.8 km. The cable which moves thjbrx0,cih 1u iy s;h i/ksk:15+deuc:e car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 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 cons*zro+m.yhwktybh5e o/ 6;ha 8nbuo9(tant angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel'o hkwhhy+tyo5ab(.n* rb ;zmo6 8ue9 /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. If thed)sp pf44isxm4i 4bl; motor rotates at the rate of 20 rev/s, what is the approxi44s4pismpild b;x)f 4mate 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 is9 adqos /zctl8 11;t-ind p,lsb lx/+x rotating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration nd cxo9xpb 1, /al tzlq; ti1/l-s+s8dof a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetal acceleration of a point on the perimeterrj1 ihug5-x(98gqkm a of a bicycle wheel of diameter 70.0 cm when the big uxrkmgh i9-5(8q1 ajke 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#

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How many revolutions per minwg, oe);uync/,9 bd yiute (rpm) must a circular, rotating space station (r = 1000 m) rotate to produyd9gne; /cwo,, )y ubice 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 f( 9.mkc-ma;6n jo crkxlat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal fon c -k9xk;oa.m crj(m6rce (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 radius 50 m with a speed of qu1 )7cyexf h+20 m/s. The maximum centripetal force (prov17cfxhue q+y) ided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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

A 0.300-kg mass, attached to the end of a 0.750-m string, i ssviknmqyso/ *b3zkn9794u.s whirled around in a smooth level table. If the maximum tenksym9b4n9 v osun 3siz* /k7q.sion that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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

A bowling ball of mass 7.5 kg and radius)v+x8 lc.2(bo m )zbeal,ji nw 9.0 cm rolls without slipping 10 m down a lane a)(v eoi8z+2)acbn,. lmlw bjxt 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 w9 :zqfc/vsw9y+(3p-rbun y qconstant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant angular acce9j xk*; caupvd)2v*tj ewx84gleration 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 rota7zj ga h k*;:yqk*;ixote after starting from rest and accelerating at a constant angular ag *i7ak*h;jkx;zy q :occeleration 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 5* 8brle51tvq pey9n cllgh,; 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 8o6x oa.wws:c at 20 rad/s decelerates with a constant angular acceleration os .xa6wo8wco :f $-5.0 \; rad/s^2$. 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 aiai7u4( bjb6) fae4ti nd reaches an angular speed of 6.0 rad/s while turning through 2.0f 7ib6jbat4aiui e4 )( revolutions. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter oxmh32 2sxee1 .lw2q9z kf2ut xf 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of 1ekw3mh tu9.z2x2sfe22q xlxrevolutions 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 gj2a,f;p a; m ,y aeoh(q yb;gui*bs()8.40 m/s to rest over a distance of 115 m. W ,2gp)b;,ugyqjs ay; eai*foa (b(m;h hat 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 from 8.40 m/s to rest overyosh(7v u.7voy*g -s q a distance of 115 m. How long does it take for the wv 7( svyho.7-syqgu*oheel 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 atz7lp 4ao9au-n a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular accelerat nluzp a74o-9aion 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 am9f rcxu*6.horg ;1kz 30 cm long wrench9uz r*cx1r6 mkg of;h. 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 of inertia7 n/jmuzt7.:a c3ypw c $3.00 kgm^{2}$ 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: mass m is at p8 wc.yf tkr opi//f:hh ,v+f(the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment offh8 v ofr,h/yw +pt(ic.:k/ pf 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 axis thought the dou: +i:f 7 i6mlwn+dxcenter O. A r+un:iw+f i 7xm lddo:6ope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular 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 piv(pr ,. p jvdhnd0s5yv,w6mm u;t8ofgd3 s- 4hpoted 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. How many radians does the cylinder rotate through in the first 5.0 seconds, if i,h pty-458 pv6dwmnru0jmh ; s d( gdfv3.osp,t 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 (pgd7 3i*q7;atdr7cne jxt9okk 5ic 8rod is initially held in the horizontal position, and t7t e(rg3j5k;9 c iqkp *dtcoindx8a7 7hen 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 sv/ f*aa v4lrn5hy8k27p+ocl 1.5 kg. Neglect the mass of the axle and sprock a 8l4nka2fvy/s7rvlp+c 5oh*et. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without 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 z/agf-pdpwt92o- t 0kdisk pulley of mass 7.07 kg and radius 66.0 cm. What is the/pp0t29 td-o az -gkwf 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 onbj9 jrp gzs4ooua bv vqp 4g3. 8gr0zj,o,/:;f a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radiu43u8psr4 gvqg/fo ,9;gb ,jr a0 :pzb.jvjoozs 66.0 cm. What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used tv2n22 aq8xyo /ensa.io store energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of iner39+ 5vibav:fgj gll4ftia 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 0.01 p3ibu*deay8 + ss0vn(0 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom o p(vnd8uyss3+ * aie0bf 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#

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A solid sphere of mass 1.0 kg and radius 0.010 m rolls with 1ez 1q 8rwx/ima speed of 10 m/s. How high up an inclined plane can it climb before coming tom1i q zrex/w18 rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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A hoop of radius 0.50 m and a mass of 0:((fu 5huo ,tq4lasfm.20 kg is released from rest and allowed to roll down an inclined plane. How fs 5:afh((to qu ,f4umlast 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#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a +-- ur(/eqq)cdk.( tcpj ppu c35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of jtkc+p/pq).ccqeuu-pd ( (r- 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 momentum /u z(n+j177 ic-6mpprfansw i changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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78#

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An ice skater has a moment of inertia of b2cesrscq 78rf9ua9gp5hu 2 2 $5.0 \; kgm^{2}$ 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 x08ebv y3s5 feguk:: t 3yc/hrat 5.00 rad/s with arms extended has a moment of inertia ou / ce g5k:vteb3ysr3f:y8xh0f
$2.25 \; kgm^{2}$. 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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