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

1#

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Angular displacement is usually ht lel*g2l(u 6express 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 unitlq m08;tt5mnwvzy 8r58n0 lxts of

A. meters per second.

B. radians per second.

C. omegas per second.

D. arcs per second.

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3#

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Angular acceleration is expressed in h(g-ps;qe0tv )otu8zl;ts eg 9*tk r /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 tp o3 oa/8b1vgourning at a constant rate. The boy is near the outer edge, and the girl1b pgo8oa/ 3ov 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 which is turbt1.0b 64wv* oa jl*p.g tfgmdning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular spebbvjpd*ga g .fl1ttw. 6*4om0 ed?

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-ldbfo0p6*i o62 52e(r -v gz-fvpfyango-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. gfofnr6-yp02 za 6f*v-5biep 2do (vl 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-go6)d8buyc*jf7+m1xibh4v s f3 9q ny - xx1rhyv-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 thcy6uhs1nv7ymyx9) 8 f -v jb4i xhqrx31d*+ fbe 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-x0wkt(--jg,7 rrly66ih dzt1z j0mzi 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 acceleration-6lyt6 1,jhrwtdxz0k0 -ig m7z(rj zi?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the following is anadjfv nl7j eiwvd;2-h .y n-l.n9g/,d accurate statemel;jl nay2.d9d.ve7nj-,g/if v-d nw hnt?

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 depywm1leh6y6 aqu4w,6s ends on

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

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

C. tension between the rolling object and the ground.

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

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11#

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Two equal forces are applied to a door. The fi;eliir k 3iybmob0o7p (9r-5 igo;we+rst force is applied at the midpoint of the door; the second force is applo7 y(ie o9;m iikr+o-rpb eb;5gl 0iw3ied 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 t i5q*(aknk g1yhe doorknob. The first force is applie*gk (yni51 kaqd perpendicular 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, perpendicujqu(y7 m5*n fskz, ci6oek6f0lar 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 secoks nm uok0fj 5qy*ze7 i6f(c,6nd 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 auq./r*ldbo4 vb4s s*j4u0 nito changes in rotatil onvrs*444du/s* jbui ab. q0on?

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 bot8que 6dlvg +ekwb:)ooftx0/ 8ys 9:k wh have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment o9:88ud)l b/eevfq6y so twxw ko:0+kgf inertia is

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16#

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Two uniform solid spheres have the same mass, b(tgfge+1(wki0srkv, nzt:a* ut one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smask n1z:f(w*v (ti ,agg 0+ketrller 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 twiceuigujnwzr4* 2y 2v8 zd618j zf the mass and twice the diameter of th6ujzw1z*j z82i2vf8 4 urgdnye other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased to 2M v hqq*g8uu:: qand 3R, what happens to the sphere's moment of ig *q8vq:u:hqunertia 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#

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

If a constant net torque is applied to aoo g 52wq(llq, c t xnxsp5w.8942hqown object, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis is given b ya n 3xum/h.p84ddh6py 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational/.n hyaudx6 4pp3 d8hm 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 1vm8alw ii/8n) nzy;u/ 50 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 / wvz;8 l uai)nyinm8/the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolll 6. oc2rmmlzz0rs;dz3 k)mh/+ xiav, s without slipping down an inclined plane starting from rest. The lin 0;lix mos3mlzv ch/m2rzk+ zd.6r ),aear 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 wiyun70pc (./zjr g glvzs3g35q thout slipping down an inclined jp/v3gzl5uqngg03 s (z 7cry.plane starting from rest. The angular velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of para31y mp hr*z-dticles changes when a net external force acts on the systydm1z*ap-3r hem." This statement is

A. always true.

B. never true.

C. sometimes true. It depends on the force's magnitude.

D. sometimes true. It depends on the force's point of application.

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25#

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In what circumstances can the angular velocity of system of particles c.r7 ur(hx*smit1j+u z pg ot:1hange without any change in the system's angular 1u zgm st+ .(1xpih:u7rr*jotmomentum?

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 a35k 4 uqhvrxt2ny friction which may be present. What happens over time to the Earth's angu4vhxutk2 3r q5lar 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 elliptcv1av+7a2y mk ical orbit. As the Earth moves close a1kvam+yc72 v to the Sun, then which 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 ssv7d7:f + *ec4zarrffv+ g1 lpirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his angul1lev: *z r47 d7 +rvgc+sfsffaar 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 (a fast spin) by pulling3k:t 6qndb le* in his outstretched arms close to:enl6 bk*qt3 d 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 (a fast spin) by pulling in his outstretcuio ,*rlp -1xed4nvh8hed arms close to his body. Wha 8o-,x vh1 updlni4*ert happens to his moment of inertia 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#

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State the law of conservation of ,8;vev ifiwqb36bpx1oqyz 98,p s bq,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 cirxj+0a s t4ldga(a5vg5cular orbit about the Sun with a +jd4 g5xga0v aast5(lradius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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

The second hand of a+ug l,7kvcj, hj4dff; clock has a length of 0.30 m. What distance does the tip of the second huffc,g4d; jv7 +,klhjand sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25 revolutions per mid px7tljm) c:9k,gn+enxhx3ju8tq0b e) w z/,nute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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

A bicycle wheel rotates us1szfcllud. jud, .0yk0; p,g niformly through 2.0 revolutions in 4.0 s. What is the freqk.d.,cp0sglu;df1l,j z0 yusuency of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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

A pulsar (a rotating neutron svqx4n o;xo 3f3tar) emits pulses at a frequency of 0.40 kHz. The period ofn3q x34fvo o;x its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record rotates atm 6f:v./v-oyjl0qabf 45 rpm. Through what angle does it turn in 0.20 q/bmf0y l:jv6f. vo-a s?

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the oute29bex17 9jdrfsgqwr;r rim move in 2.19q 2j gdwx7frse 1;9br 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 rotat rbi:/et29rar6fky :ses uniformly through 2.0 revolutions in 4.0 s. What is the average angular s: yr :frs/tbirk9ae 62peed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0, cjazdn3p spmcorua7a ,*0 *( s. What is the linearzampd0,cr a7,c op(n*su3ja* speed of a point 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a distance of 6.8 km. The cable sgn ( gd/yza8 p5b58fi*cq9ih which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car t5 czbdn8a85( 9g *qiypishg/fo 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 6cjatftjx-1p) h .)qxr zb.,z speed of 2.0 rad/s. 6jxj hcbq p1tz,zt .x-r)fa ). What is the linear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 0.16 vlb:i) a2f zxql;oy38p5sdc + m in length. If the motor rotates at the rate of 20 rev/s, what is tzbx dclail+s8op:2 yv5; )q3fhe 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 wiy2ue gowza t j6;.83mxth a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheelgewoaum;3z2 j.x 6y8t '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 acckttult z7 4m/7k*q9g meleration of a point on the perimeter of a bicycle wheel of diameter 70.0 cmg 74l*z/kt 9 kmqm7ttu 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#

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How many revolutions per minuy. u(+q++in bhimyxg2te (rpm) must a circular, rotating space station (r = 1000 m) rotate to producu2y(hq+ yi nmbgi. ++xe an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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A car is negotiating a flat ci; f hs4(oocclkb5bc82rcular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provid k(b bhcco482 os;cl5fed 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 spee8g6rxm7 s. vce+bxu. md of 20 m/s. The maximum centripetal for sgx.rcm.8u7 6ebmxv +ce (provided 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 jhaft:e -u .4zend of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to b ej.h:ufza-4treak?

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 ;hj 4hy d8ao yrl6m0g4x0gpm4 9.0 cm rolls without slipping 10 m down 64hrh dm8 yx0glgj04o y p4;maa 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 accelerationl);jhvz 5*l( wzv+jli 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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Mark Problem

52#

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

A wheel accelerates wzl6spr8:m)e+ e bapw2ith a constant 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 startink ua5jvfp+6)ky3 mzax*rl2- kg from rest and accelerating at a constant angula+2m)klvazry *uk6fpxj53k a-r acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

A. $1.00 \; rad$

B. $2.00 \; rad$

C. $12.5 \; rad$

D. $25.0 \; rad$

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54#

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

A wheel starts at rest, and has an angular acceleane l41g2zrn1a2 x1xb ration 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 deceleratesfzv 36izz;r yd7xpx+y- u.mt. with a constant angular accelera; z 7imy 3pry-v6t.z. ufdxxz+tion of $-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

A. 40

B. 20

C. 6.4

D. 3.2

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56#

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

A wheel starts from rest and reaches an angular speed of 6.0 rad/s while turnag6 o q9/vyaw(ing through 2.0 revolutions. What is tha/qga 6wvy o9(e 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 m/s to r5xvg ly:2n tu)est over a distance of 115 m. What is the total number of r 5:xnyvtgu)2levolutions 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 6yu 5 +on4 .r6ydnobr2o8.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angulad5y24u+nyo r6 rn.boo r 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 6a8 88cww 8deayb6 au4c8.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 a8w8a 8deac86 bu cw4ym. How long does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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Mark Problem

60#

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

A centrifuge in a medis4daz s4 .csb 42byyr/cal laboratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration b sb2 4ys.4szr4yad/cbefore coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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Mark Problem

61#

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

The bolts on a car wheel require tightening to a torque of 90 +vnu8q10k z a4sqdvn5 Nm. If a 30 cm long wrench is used, what issv0 aq14 dnz8+5kqnvu 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 tqbu(nit k5*, of 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 monsj5 pq.+6ni/*z;kwqh mraqdl0 11w ddeled as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment ofqi +ksdq6w p1* mrz.05;d lnn/ wajhq1 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 a0;wuw6n: dlyn 2a,e ppivoted 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 angular acceleraa6,p a elnu2: y0dw;nwtion 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 i e r:nt*0tp0gurii)c uf.w; ;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 it sttg) n0 cie.;;ft* :upiu0ri wrarts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. The rod is initially held in the hor e5dbhev2w( v7izontal position, and then released as the free end is allowed to fall. What is the angular acce ev2eh(bv7 wd5leration 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 a6ia/c d)kh wi4 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 speed does tcihaw4d6 i/ k)he 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 w;br 31z(jfghql;beo3k .6escrapped around a frictionless disk pulley of mass 7.07 kg anlj33r bzbh;ok.1qfs 6;ee(cgd radius 66.0 cm. What is the angular acceleration of the pulley?

A. $4.49 \; rad/s^2$

B. $7.98 \; rad/s^2$

C. $9.87 \; rad/s^2$

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of +baep cm+.sexh4v , (gmass 7.07 kg and radius 66.0 cm. Wha s(+c+x4 evmgb,.ph eat 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 t9 7wzdz10svvg8:brm :lm a: vwo 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 inerto xfqw2mk-kuh9js0 3zp pv8//:1anh v ia 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#

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A solid sphere of mass 1.0 kg and radius 0.010 m starts-b6r3fy; wc* kvka4t a 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 of thcfwab3y t6;kra4*v - ke 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 a speed of 10 m/s.lm*kqa wi px 0+4xq4)8 tytko- How high up an inclined plane can it climb beforktpxm 4 q08 4yik*)t+lqx ao-we coming to 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 ofu6)wxedy ddz zx0l0b46jy)(m 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving after droppm) 6wduzdb)lxy00e (djy zx 64ing a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15ymrpyaf 41+odwtmv:l7a, +9a cm rolls without slipping down a 35e incline that is 7.0 m long.y y, +pmaaf41: trl+dmav7o9w 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 momentum ch-6 bf+wb*;b :sx-wofg/ yekm fanges 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 +ofc(c,9f: i, n dx8q1ato0uci,nzw lof $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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

A figure skater rotating,y)kv)9 ikx jx2 dqvv6 at 5.00 rad/s with arms extended has a moment of inertia oy,kv)9 26 vxk xdij)qvf
$2.25 \; kgm^{2}$. 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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