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

1#

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Angular displacement is uwuiv5 (ezbl)lw +dr0:c* bn 6hsually 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 upbguq9 42qe2 q8y0cw jnits 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 *rr n z4m;+; h: (jvfr0kq3kaodq9uc kunits 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-rte a3w62sl5 ztound which is turning at a constant rate. The boy is near the outer edge, and the girl is closert25l6e awst z3 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 turning at a constanto+ ;g1d-bzbppo /8lb8szj; vn rate. The boy is o +8gjon;p/db1v z;8zb sb -plnear the outer edge, and the girl is closer 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 riding)r.wb4 o d(yny on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear spe nrwod)(4yyb.ed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at a con)3kc:aopaj9: v h.2:ya vykvn huo6 e4stant rate. The boy is near the outer edge, while the girl is closer to the cent)oay 3nu 4ea96 :ykpoh:cahvj .v:2vker. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which irq 2t5:haeu ,gs turning at a constant rate. The boy is near the thrqag2u5, e:outer edge, while 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 that is.2pwtt,8 9p3kr pgsyb rotating. Which of the following is an accurate statemen bpy3, 82g tpwspt9k.rt?

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 dependsif ioja/;i2ze6 ,zfd3 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 qzne d+/+ai x( 9zwxiw*d0g.1wzsb- jfirst force is applied at the midpoint of the door; the second force is applied at the dogbszw-a1+ 9 i x/.xdz 0e(nq+w* wzijdorknob. 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 a-jgb *5jrgny2xt;rs:qjx4 9 j) jam( applied to a door at the doorknob. The first force is applied perpendj:qj; g*m y gsj jx9ra-5 xrb4a2jtn)(icular 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 applied5j 4x(vrp k1mf to a doorknob, perpendicular to the door. The first force is twice as large v1p fr(xkmj4 5as the second force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's r2.;o. paitygg esistance to changes in rotation gpya .o.;2igt?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameter, bla3k6 1ice bfmdt5a65 ut one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertiabcek3 5d6if6m 5al1ta is

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16#

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Two uniform solid spheres ha2t4lg6+t+e f/(; s /dero5fmvyv zc trve the same mass, but one has twice the radius of the othgv+ztt/e/4 lf+v 6(2 ;rtmr yefd5 socer. The ratio of the larger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass and twice tocva9xjb,+ 0i he diameter of the other. The ratio of the larger moment of inertia to that of the smaller+ a0oi9vbxj, c moment of inertia is

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18#

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A uniform solid sphere has mass M and radiuvz2qwi fe r0 lj/88lrl)6 yas 1kh*ie5s R. If these are increased to 2M and 3R, what happens to the sphere's moment of inertia about a central axis8zl krlhe 8*q 05)r6alj2/iviysfw e1?

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 objectyx tcscy)hg anh 64b: .,yqd8: will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a solid cylinder about its axis is given by 04q byb2q7 8zb4rn iji:.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic ener y:4rij bqz4qn728 ibbgy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcyclp-aj 9vsslu) rg3m72ue of mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30srsval-g ) pm27ju 3u9 cm. What is the ratio of the rotational kinetic energy of 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 rolls,sp609b+ jv sdia ao*m without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incline dependd s * pbas69jv0+,imaos 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 q/ wyxyxs;u c/ uqo)z 1k*w7.n8rt4oxrolls without slipping down an inclin yyt*uur w/o)ko xxn7;.8w4zxc/s1 q qed 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 ofwt3 ep- ey6uc8 particles changes when a net external for3y-e 8pwc e6utce acts on the system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can ty* t8zw qvykv;(x.4p the angular velocity of system of particles change without any v v4xwz*qt(pyy8 kt;. 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. Ignore any fric+: wf:g06s7slfuz 2p0kna hjition which may be present. Wh6n+w:0lfp 7u2a0jif gssh:kz at happens over time to the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. 3 vo1hq)r4 iu0jfkzza 5wp cs- 5xma71 As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of the Eaqac4 u f13i mah7 zv owsrk0p1xz-)j55rth 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) +ddf6vs0t5u; ioqs in8n v)a spin) by pulling in his outstretched arms close to his 8 0iv) vqisdf6;+ ndsno )tau5body. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouette (a fast spin) by pulling in hiz;bt+kut ah5 ;s outstretched arms close to his aht+5but; k ;zbody. 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 performs a pirouette (a fast spin) by pullinghi .u0.zk *opbjy4b 9b in his outstretched arms close to his body. W0bki4*b.yhub 9o pz. jhat 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#

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

State the law of conservation of ag/ox,zn0z ef q:w vu;3ngular 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 i9v wz mp+b0wo9il p1w/n a three month period in its nearly circular orbit about the Suzw+pv9m i0pbo/9ww1 ln with a radius of $1.5 \times 10^{11} \; m$?

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

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

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

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

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33#

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The second hand of a clock has a length of 0.30 m. What distance does the f hi3g1s7uq 0czy 5ova3os oiq,*(s4ltip of the second hand sweep through in 3 minutes and 45 seco*q 31ss5ihyfioo34 a,uvgzsc0ol7( qnds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minute equivalent to?sxc:) ofz7 d,b

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 revolutions in 4.0)fx)6 v+8vm uwpez y:t s. What is the frequency of the wheel's rzux6y 8m: vf pwv)e+t)otation?

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) emitsq 2mx-9i su44fwk.wp b pulses at a frequency of 0.40 kHz. The periods 2pub 9k4 .ww-4xqifm of its rotation 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 what angle does it turn in 0. gni1b)iab cha8c:1 r;20 scgh;a :a1)ncbr1 b8ii ?

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 lto4j*u) jsbjjp.p65 will a point on the outer rim movesbjpoj45j*u6 pt.lj ) 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 r8tooe1v(mmm 8 evolutions in 4.0 s. What is the ave mm 8v(omoe1t8rage angular 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#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. What is the3 tch 8.1q*zgdzotrqyg2 e,y4 linear speed ofg *y.eh1 2zt3qd,48gqoyt czr 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#

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

A cable car at a ski resort carries/cmff 8j e*xttsufs4o **+p0e 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 fast must the pulley r*e u *f0tofm/8psxc*s4f+ e jtotate 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 witmg.p)v. m:h. +kexia jh a constant angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel's j.ea :x.+ )ghi. mkvpmrim?

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 ,oa);:u/f(lc wvwyyi in length. If the motor rotates at the rate of 20 rev/wa/l,iu: wc)o(yvy;fs, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0db rynqo3/rj c- (z81e m is rotating with a constant angular speed of 2.0 rad/s. What is the centripetal acny z1oqr(3/cb-edj8r celeration 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#

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

What is the centripetal acceleratioba;gnoyyt4rgq ( )** y;t 0zthn of a point on the perimeter of a bicycle wheel of diametero r(;gbyntyy*qah*;t 4)0gz t 70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm) must a circular, rotating space:) 6+t jaoen gk+qxh(g station (r = 1000 m) rotate to produce an artificial gravit: x+ejhga6kq)og+t(ny of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curfz u1uz;uy0j ;ve of radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by st1zf;0z yuuu;j atic 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 208i:pn2p(+rel fi-ny+n7s o rc m/s. The maximum centripetal force (provided bey i8 nc2lpnir+7:-rf np+so(y 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 0jpkqh) /w-xi db9n-5 y.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 break? 5ynwqhj xb-d/pki9-)

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 mass4nbv0d,f i;6ja)d;yj ;jh o sw 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 m/s;sdnvwy) h j6;4jfdo,bji 0a;.
(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 const6 en:/j9kktr;uted2 xs k qmzd+y /w02ant 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 con he9;g4h( ycb p(.n 10b )kar,;xfv( kzlixyaystant 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 agy qml+q0e:ba i-)1yd fter starting from rest and accelerating -i qyaml0gy:+d beq 1)at a constant angular 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 aican9ity6mmc/ fw ,0 97xf :zkn angular acceleration of $4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

A. $36 \; rad$

B. $18 \; rad$

C. $12 \; rad$

D. $9.0 \; rad$

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55#

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

A Ferris wheel rotating at 20 rad/s decelerates with a constant angular is. :imx;ud 2.,tgd2sfra 3x laccelerat22sagmu r,d.s.;i f3:i dxtxlion 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 tu6jv eps+/emd0st ( i 5ibi:gr4rning through 2.0 revolutions. What is the average angular accele0d 5 jg/ r:ii+pb (46vssetmeiration 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 unifovwx1tv)o3*s)l d9w jxrmly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in comingw*od )ltxx9wjvs1 v)3 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 fromg pwn,:o b8mys,0xwe , 8.40 m/s to rest over a distance of 115 m. What is the angular accele,o:yne xp0 b 8,mgsww,ration?

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 tpl:0s )p bij .ckrh/b8o rest over a distance of 115 m. How cjk/ b.0lib8h rs)p:plong does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at / wxfuom,hpa 9ar+00mc)g3mw;ik8 e za rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular 0a xe,3cp fwgw9hur/;m m8)i+0 amkzoacceleration 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. x6-9wpd6i) - pbz9mlrfe vsuf oop.). If a 30 cm long wrench is used, what is the magnitude of the force req6).6)mdxf .ppu vrp-fo9wzi 9 -boesl uired 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 iny4z0y bquu9hj:-dd8 g rm4q; aertia $3.00 kgm^{2}$ 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 eoh7.5p7e7hn0 ogg ovis at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the origingon0go. 7h7h7pv 5eoe ?

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 t2wrn7l;4svrvp. k* gnhought 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 n 7*kns4;.pr 2wrl vvgforce 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 thoug iozohomwez42x 4d- +/ht 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 so+zo 4xmw4-h i2 d/ozeection 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 rod is initially held inpfl:d 7*pm efu184hoa the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about onp8mlfhfpu47a e* o:d1e 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 l94dhv)9;w7luo9yv )sqcu q jcm 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 spe yqdjwuo9l9 l;s97q4)) vvhuced does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulu0b(6 qj5htohe u6h g+ley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration of bqu e+6jh t5o0(hhgu6 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 pulle :dq2/luu2k*;oc rzmcy of mass 7.07 kg and radius 66.0 cm. What is the acceleratiodumlq/2 c;2 k u:zco*rn 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 enbe:; -ag 9d;n ok)pj;lw0z9d 2tf bes qgwo49sergy. 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 insht) lkt6jt:a ay56g8 ertia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

A. $57.6 \; J$

B. $64.0 \; J$

C. $78.8 \; J$

D. $122 \; J$

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72#

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

A solid sphere of mass 1.0 kg and radius 0.010 m starts from rest and rok b1h.)ahe1mvot h3*a pp 9 rtfncob8+d1n(q*lls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of*h nbhfd+no1( *1 vqh8cet13 )k9p bram.aopt the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0 kg and radius 0.010 m rolls wi62ev6a 8-1nel wwwox ith a speed of 10 m/s. -oevww1 68iax26lnew How high up an inclined plane 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 of 0.20 kg is released from rest2 t6gae ky57mxgwmqk ki7;5 ;r and allowed to roll down an inclined plane. How fast is it moving after dropping a t5keik7 m2kwr6;gmy57g;axq 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 rlc sm2mgswe45q7g/c; olls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of im;cw54gq ss2 ml/g7 cenertia 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#

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

An object's angular momentum cha ,dn)d6s5m iflnges 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#

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

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

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

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

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

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

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Mark Problem

78#

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

An ice skater has a momentv*tcx59 nl u4g of inertia of $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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Mark Problem

79#

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

A figure skater rotating at 5.00 rad/s with arms extended562r ;ctn.vo 8ecblha has a moment of inertia l.ca r8hn5c;2bet v6oof
$2.25 \; kgm^{2}$. 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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