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

1#

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Angular displacement is xg3anz: gc+.3fm q ri5usually 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 units olh(j:yw +ja;s0xp *f if

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 un)v-asc 8ft0:(tpiit kits 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 at a cons jisl9i n.61ofujpbt c.x3(wb4jd/; dtant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greatoi/.li6 (bb;3fwc4s9.ndu 1pjjjxtd er 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-roundnqe ; 3zvbr;4 an4vhk9 which is turning at a constant rate. The boy is near the outer edge, and the girl is c 4;v94b z;avqhk3 ernnloser to the 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 ridingeoq56ubyw rr1-z5 b.p on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is bryp uzeb5. 1qro5- 6wcloser 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 ridinglt56gy 1lt6lx (v js6dl 6a;ve a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal accelerav(lgd6xl1e y 66 j65stta;lvltion?

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 bm+ul s,(avm6in(qa* riding a merry-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential accv *bqlm(n( a+ si6ua,meleration?

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 tp p(gkpw+f1aj m/ ,bq,ic-*d xhat is rotating. Which of the following is an accurate stat abkp1x,p ,*/jfmpd-( ig +qcwement?

A. Its center of rotation is its center of gravity.

B. All points on the body are moving with the same angular velocity.

C. All points on the body are moving with the same linear velocity.

D. Its center of rotation is at rest, i.e., not moving.

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10#

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

Rolling without slipping depends ul **x)d +s3 +hhhaognon

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. Tkfx16,6yw d zqdah :)-)yyo3 :uegtkfhe first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the gz:dk f)hqgt)kyeaw 1 yud: 36-yx,fo6reater 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 apjeq9gt)1iu empw 1)m9plied to a door at the doorknob. The first force is applied perpendicular to the djiq1)e9w u pmm9te g1)oor; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The vg 6hm,0ll9 fe sr1zto wz9d2(first force is twice as large as the second force. The ratio o0otrfz6zlglw21,e9v (9hs m df 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 resistanj9qb6x r7z dewb)m0pn ,w7-- ii gey1xce to changes in rotatio,ng6i bz--q71e pww07xed)jxi9rbym n?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres0fqd2w8o rlb : where both have the same diameter, but one has twice thdqbw: 8lo fr02e 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, but one has t)nx +zyt7)fjj wice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the sjn z jy7+t)fx)maller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheresuhw:( cd /n5oqc+5fyi where one has twice the mass and twice the diameter of the other. The ratio of the largerq+h fydnic5(w /:cu 5o 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 csv 6 ii/e-e)b2M and 3R, what happens to the sphere's moment of inertia about a central axis?cb se-)e/ vii6

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 7 blzy d/g;gw(is applied to an 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 axhl: ucf:s/p i+is is given by 0.5 MR2. If t: hp suif+/:clhis cylinder rolls without 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 bpg/ 7coi zuzo-5s m10l1vo9z150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic v/g1 zbso uo759c0lpz1o im- zenergy 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 masy ,74n*f21dz9 o:efooces j uoaj73r bs M and radius R rolls without slipping down an incli77:oozc nff,o9s2o bja u4er3*d1 e yjned plane starting from rest. The linear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without slipp rl-fbythpe8n3vhs- 4 7i f/t1ing down an inclined plane starting from rest. The angular velocity of the sphere at the4s ly7bpe- ft- itn8/hhr1v3f bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles changes when a net eexc s4l*u /0rzxternal force actzl *u/ec rxs40s 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 circumstancesnzq( /vd5 hjdm 6ky8f9 can the angular velocity of system of particles change without any chang yz8f( hdmvn j9d/q5k6e 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. I ehy-9vj(. wd-ef3 rgegnore any friction which may be present. What happens over time to the Earth's-egje3de9rw-yv hf.( 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 aboul 8kkqt:sa+t3t the Sun in an elliptical orbit. As the Earth moves close to thtskk 3+t :alq8e 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 perfor8ygix w0fzq +*ms a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to hi q*f+zw0g8yi xs angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin) by pulling d5m );,v/wv /3zcz :,oux mc6gwdlm vuin his outstretched arms close uo;5wd)g zx:w u6 vcmv/cm l,3z/vd,mto 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#

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

An ice skater performsxez3 pzpwp 4y4r ;8kh3 a pirouette (a fast spin) by pulling in his outstretched arms close to his body. What happens to his moment of43wey p 3ppx z;zk8rh4 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 angulary,xbbsp*+zhkbb,j*6 f -8gq v 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 perioja9h j1b8 ycrbdt (b3v: 6i9j p/gr;dhd in its nearly circular orbit about the Suvh:8; 36a/gbr ijdby1jpc(br9h9t jd n 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#

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

The second hand of a clock has a length of 0.30 m. What distuht bzt91k ,j+ance does the tip of the second hand sweep through in 3 minutes and 45 secondu1tj9h,tb k+z s?

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 256jfic gmcl(; , revolutions per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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

A bicycle wheel rotates uniformly through 2.0 re,y1zh 1lrb) dsvolutions in 4.0 s. What is the frequency of the ) 1,drbzyhs 1lwheel'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 star) emits d :*b 1wp-reafpulses at a frequency of 0.40 kHz. The period ofwf er1b:pad-* 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 at 45 o8ryw3aox 2rxi ba-6 5rpm. Through what angle does it turn in 0.20 s?yao385ob-w i 6x2xr ra

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 o) lcj6z suk1-j6u)d ouwp)h(m; vzm f5n the outer rim m6lmu5uowz(j6pcdsh j)1)mu ; vk z-)fove 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 uniformly through 2.0 revo* b,xm 4l/wukvlutions in 4.0 s. What is the average ang4wmvxuk bl*/, ular speed 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 3um zrnhzn7*j36:n tperx5 f,4.0 s. What is the linear spee7 pnj:fh3tm5r x*znn,3eur6z d 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:f3+kv-rz uwvk4 z9fv resort carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how far-:k4z +fuz3vvkf wv9 st 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#

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A wheel of radius 1.0 7jl94( l vxr dg)vgvod*wh0wn0e+95z 9caxqd m is rotating with a constant angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel's lj(rqz xgd7v9v 5c0x eowg)4 09w+n* 9dh vdlarim?

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 lpe;lm mmdd;oeu:3a5 ow*g w.7ength. If the motor rotates at the rate of 20 rev/s, what w;opm;emuo la3*gwd57 .e:md 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 with a constant angular speed of 2.0 rad/lc.wc js fjqp t8793)li.irh; s. What is the centiws 8r3.hp )t. jil;c7jq9lcf ripetal acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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What is the centripetal acceleration of a point on the perimeter of a bic: k2-4 h(nk kwiks9vqk/dcx p +bl6w(mycle wheel of diameter 70.0 cm when the bike is moving 8.0nkwkwki((/m:6 2 +hvspxk 9db- kl 4cq0 m/s?

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

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

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

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

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46#

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How many revolutions per minute (rpm) must a cirwyr7aunkdjzi)k.j gzvk3a i61u ,( s 43f;yd)cular, rotating space station (r = 1000 m) rotate to produce av71d 4is(3,na.yafw;grdkkzzj 6i u j) ) uk3yn 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 fllk:u/es;4( 3o;zr j j5inrb urat circular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided b se5r :;;uk(ljiun rbojr 4/z3y 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 circ1)e,d3ip . bn2f*8rjwvl fd lwular curve of radius 50 m with a speed of 20 m/s. le 1, fw283lbddw r*v)jfnp.i The maximum centripetal force (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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Mark Problem

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, is whirled around,g f jl,cj.. fwqrzx1) in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed canrj gxf) .f.wl jzc,1,q 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#

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A bowling ball of mass 7.5 kg and radius 9.0 cm 2shsnljc6 f:wjlmcp 5/.f(0g rolls without slipping 10 m down a lane at 4.3 m/sl0clj: hg5jc.pfsm / n(sf26 w.
(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;)etlkq vp*e7 -t 0y6 fprdt(k $4.5 rad/s^2$. 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 angula0 z8(;y pc fxept unffn 2797bpz61zgar 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 rota/z8q) ymfrvs ca+-gij ;fci+:te after starting from rest and accelerating at a constant angular acceleration ofc-)j s:+8 vmqfc /ziif;y+g ra $2.00 \; rad/s^2$ 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 ha e7ix+u9u tr5dgjp*d2* yrsc me a88s+s an angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 i9x, h-d tx o(r.sm9n l1p*rsbrad/s decelerates with a constant angular accelerati, l. psmxhxn9-brd o1tr9(*i son 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 an1kjhma 7he/j8 angular speed of 6.0 rad/s while turning through 2.0 revolutions. Whathejm8 a kh1/7j is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 c/rof+6p, ks tgaz*mun(m k.a2 m slows down uniformly from 8.40 m/s to rest over a distance of 115 m. *+ z(ktoupamrng2,sf6a/ m. k What is the total number of revolutions 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 c(7 2oatrf pmz.1:8jxh)iue s 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acmfos.tcr) 8ej2axp7h :1ziu (celeration?

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 l .ptm( f+sxiwia9p;8to rest over a distance of 115 m. How long does it take for the whepxlt am(9p+8ws ;i.fiel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational speed of 368 gfzt.. +*xzv3ojs gw00 rev/min. When switched off, it rotates 50.0 times at a constant angular accelerg3 +* 8.gwztvj.szxofation 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 a 300rf u0 q(dz/4iu i9vqk cm long wrench is used, what is the magnitudru 0kqv/ (i fi09zq4ude 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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Mark Problem

62#

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

A wheel with moment of in;jay3vgkv 1agr3 rxgw3e465 zertia $3.00 kgm^{2}$ 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: max, 1 xpzcu5l)jtwu)- i6bhs(qss m is at the origin, mass 2m is at x = a, and, mass 3m isw1x t)-) ulb sz5j6ihc ,p(xuq at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a kqh,bnb8- );m(g lv abfrictionless axis thought the center O. A rope wrapped around t(nmh;l kb b,v qgb-a)8he 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 pivoted about a frictionless axis t 9d)zo7 7fjjuyhought 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 wrappeo dz797yjufj) d around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

A. $13 \; rad$

B. $7.5 \; rad$

C. $5.0 \; rad$

D. $10 \; rad$

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66#

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

A 4.00-m long rod is hinged at one end. The /ke ayz4yqx47 rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceaz7/4kqey4 xyleration 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 to4qpgz y(9i*74g* nq pkk+vujx be a 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 the wheel achieve, assuming it rolkykjqgg7qup *i zp(4n4 vx+9*ls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of msv9*ptl,g9 1n.gs dypg6a )f vpvp50v ass 7.07 kg and radius 66.0 cm. What is the angular acceleration of the pullg5*6)1vyvp0. sg9 vl d ptasp,pngf 9vey?

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 arou zdxqhpg4dk/j gj+s +*5*n p0ynd a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the ac+n/xq4*dpzy+5d jp 0*ghg ksjceleration 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 s,/dz86:kisfu q u1gdo3pgv - 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 iner *:+ruerl ,f+kh)wuznve 3. ixtia 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 radiuvhkw5 n9)5lk0yqg lsi:: cqs8 s 0.010 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 reache 9gkic5 0nsh l:8vkq:yws q)l5s 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 +ysjwi1lgz2)radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined pl1+zliwj g)2 ysane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass ofm,zv,5v -+lcu jvwmc7 0.20 kg is released from rest and allowed tvl-5+ ,7mcwm,u jcv vzo roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls withoutqk 73udc6zzfkarn z/tw;-*39 ph+sg y slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is givenw +3-kz s/grz 7pq3c *u96 nthdayzkf; by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular momentum changes ersy7oz-a/) kj+ .tqcby $20 \; kgm^{2}/s$ 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 inert)lt c.lmp 4hg:ia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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A figure skater rotating at 5.0lq8: z-rv4s / ssktp9e0 rad/s with arms extended has a moment of inertia of/-sskv pr :s89 lteqz4
$2.25 \; kgm^{2}$. 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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