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

1#

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Angular displacement is us09n dlc ywg86oually 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 8j3cj*r s1vxo pua -;(ha5 p(dypxdv/in units 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 un* 74euee 8ftf pr-za+xits 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 m-lawa6 qpn 7v:clnx,*erry-go-round which is turning at a constant rate. The boy is near the outer edge, and pwna7nx-vc a6: l, ql*the girl is closer to the center. Who has the greater angular displacement?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-rou/om+wbc9-rz x nd which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular sxc bmzr-+/wo9 peed?

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 rohcan) h0u29b fs:6eg iding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and )9 2s6aco:hefgh 0 ubnthe girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning at -3o6 p+oear 2,avtpmih( t; qza constant rate. The boy is near the outer edge, while the girl is closer tor atp2 6emoazot-vhq;+ 3 ,p(i the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a mer sv3d2rt3qk/ rry-go-round which is turning at a constant rate. The boy is near the outer edge srvkr/t23q3d, 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 rotating. W k5o.sau)3dijzhu 7sj +bztl **nu bn1 :9cn2dhich of the following is an accurate stuc5 uib 72zl9bshks1 add*nz+: )n* j.ot3u njatement?

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 depeni(1o6t( rr;0oerc zmyds 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 do p9 76hijybd7(z0 rslpor. The first force is applied at the midpoint of d ip79s6p(l rbyhj0 7zthe door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The first force i clw,e;5gdnt)tqqlc8nv 9 ld 13ktf*5s applied perpendicular to the door; the second force is ap5 dc5fwg9l l1k)l8e 3qd;t,*cttn nvqplied 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#

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

Two forces are applied to a doorknob, perpendicular to the door. The f787qcrg)so z ( aotz.ai8y- yxirst force is twice as large as the second qos7)i8 cta7z- .g8x zr (aoyyforce. 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#

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

What is the quantity used to measure an object's resistance to changes in )7wgjx 0a hl4frotation)04xh jlg7fwa ?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spherv+ bua d.bcodr :b6ap*dcx;/:es where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to thatdd;db/ bc.bcar:v u6+opax* : of the smaller moment of inertia is

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16#

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

Two uniform solid spheres have the same mass, but one has twiceh853bp y/oj q lgz*;uu the radius of the other. The ratio of the larger sphere's moment of inq3 h/gujl; *p y8oz5ubertia 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 twi6l,ho *4qcbtfxlfab +30 ;vmz ce the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller,3* 4mfovcbt lxb+q 0f6hlaz; moment of inertia is

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18#

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

A uniform solid sphere has mas7-lj v qihb 7*f;/xmlqs M and radius R. If these are increased to 2M and 3R, what happens to the sphe -q*vbmxif7jl l;7 h/qre's moment of inertia about a central axis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an obchsrmw8 *7bud )y /)pbject, 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)w 223)ko bogprs0mt53mxf rj given by 0.5 MR2. If this cylinder rolls without slipping, )xws35 krrjpm0m3 o)gb2t f o2the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, o53w f7 xsddsguu/r9p1ne 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 whee3gxf1ddu79r5 u/wsp s ls 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 without slipping do zk--0o9*p jjee ;mwtgwn an inclined g-p ezot; * -w9jm0jkeplane 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#

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

Suppose a solid sphere of mass M and radius R rolls without slipping dow/cb.zkh 0** qmj te9dpn an inclined plane starting from rest. The angular velocity of the sphere at the bottom of the in mckqh.b*z t j9d*e/0pcline 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 mof+e* y xczgu:)6nf*qaads*s (mentum of a system of particles changes when a net external force acts on c6e* u*sn sg zyxfda)+q(f*a: the system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity of system of particles change mhr+ j5w e/hxdz)4d2r without any change in the system's angular mohj 2/5)+emrh 4dwxd rzmentum?

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 friction whf0kx5 y5-urs jich may be present. What happens over time to the Earth's angular momentum aboutykxfs- rj 550u 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 0 gy2bz zt+*mwqk6;y)1p yp t3d4vngvorbit. As the Earth moves close to the Sun, then which of the following best describes the tyd*2pw)my10 v+yz gv634qktgnpzb; orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spin) by puz) g2q6atx) 7f,a(bq,+amxoo5hn. e zdr4d yelling in his outstretched arms clos,)ed xg mnzb6toz2 raqa5aye7)h,o +.(x4 fdq e to his body. 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.di42 igxw:2qfppn a+ a pirouette (a fast spin) by pulling in his outstretched arms cfni xi pd.2w q4:pag+2lose to his body. What happens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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

An ice skater performs a pirouette (a fast spin) by pulling in hiia6ikhlal p8 (xhc 7p/,,x*ucs outstretched arms close to his body. What happens to his lxph uk6pla, hc*/,x 7acii( 8moment 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 ofknumh46gqua y1: vu/ ) angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month period in its nw2.* zy.sewc nearly circular orbit about the Sun with a radius wsc .*.z n2weyof $1.5 \times 10^{11} \; m$?

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 distance does the tirdj/y2 h+pw+ eu/sp gy9* hku3p of the second hand sweep through in 3/ 2hrj+k 3ps/p9 dy+*ug hywue 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 minute equivauai)) ;+bwa2fzr3 jnalent 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 revolutionfzec6xiae;um ;wb6-v 0-a ra:s in 4.0 s. What is the frequency of the wheel's e-x6 w:v6f a;c-mz0;ierbaua 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 pulses at a4k njqwpm25bb z/d.2 jr6p g2b frequency of 0.40 kHz. The period of w2 prnbgkm62 p 2zd/.5jqb jb4its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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Mark Problem

37#

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

A phonograph record rotates at 45 rpm. Through what angle does it turn 9y awqjdx9 :x0dfs1k5n 1brm* in 0.20 5d *1x9fdrsab0:91ykjqwxmns?

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 po tc7,wb n3 pk:r73zpcpint on the outer rim move in 2.1 7kbp3,ct7w3rpcpnz: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 revolutions in 4.0 s iyk/d*v kx9(s. What is the average angular/svi*9(dky xk 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 revyzh)p w7 xts kq95:qq8olutions in 4.0 s. What is the linear speed of a p9q5ywqx 8) kps7q: thzoint 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 carrpg lvtxeh w.d yn6.cc1q;8. 9vies 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 rotate for the cable car to.9l.w61teq.8 pc;vxvn dh cgy 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 srbe// ,*d6f 3jb,hmui,g zlospeed of 2.0 rad/s. What is the linear speed of,z / fjh, 3 d6g*/elisrbmbou, 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(7pri/ 4dkjim am7i6 y 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximaii7a( m6j47 d/r kpiymte 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.p2-u d igo(,wl0 m is rotating with a constant angular speed of 2.0 rad/s. What is the centripetal acceleration of a point on the wheelo,p2dg ( luw-i's rim?

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

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

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

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

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45#

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

What is the centripetal acceleration of a point on the perimeter of a bicycle w .m o3k4gr1qizm fjv1xtm;8390vhjyhheel of diameter 70.0 cm when the bike is moving ov m vx1kfj4yq zj3 r i0m8h3m;hg9.1t8.00 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 statioaf3y ch(t3kmul :o44h a*il7pn (r = 1000 m) rotate to prodt h: 43pmhi(lfc3ko47* aula yuce an artificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve of radius 50 m with a speed onwyz5 r+ln+0r6 9zgy)curi -if 20 m/s. The maximum centripetal force (provided by static frictiony9 yzcwiruiz rn560+ +ngrl)-) 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 radiu)x+ ceu0ygvpod36l ( xs 50 m with a speed of 20 m/s. The maximum centripetal force (provided by seu+0ogp) ld(6yvx3 cx tatic friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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

A 0.300-kg mass, attached to the end of a 0.750-m string, is whirled aroa5g wrdwur8uhh*1oy74w 3b / jund 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 striubd/o3w5uarjww*7 ryh gh84 1ng is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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

A bowling ball of mas6t j4c(qgin8d s 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a gj6 qt cd(ni48lane 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 constayk vp (* g6y0ukpptk.4nt 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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Mark Problem

52#

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

A wheel accelerates with a constant angular yq 7p pub g7ov0+89hsbbz7rhxx 8zc8.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 starting rw8,o3jv7 wof from rest and accelerating at a constant angulw8r,voj 3 wf7oar 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 acceleration og+ pkrc*q1 d0sf $4 \; rad/s^2$. 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 i-p+d jm7-we 7moo8ox .j6eoga constant angular acceleraim+ 8g.j- 6dwjo7o7eo e-xomp 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 4wvfnttjocv2; (;welrj6:*a reaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleraw 4 cnv ojvet2:jltrwf;(;*6ation 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 8.48 fs igp7xlsj51klc7a +8m tlnyf:r yk7; d9n;0 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotates in co;a k:x;llf 1s yls pgt7m77+y5r 8 8c9idjnnfkming to rest?

A. $53.8 \; rev$

B. $26.9 \; rev$

C. $338 \; rev$

D. $169 \; rev$

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58#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to restg c0c1s,nzk)j2dyoj , over a distance of 115 m. What is the angular accen1zs gycd2oj j0)c ,,kleration?

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 89fyx(wh.0d d wwvnzkjlec;)c mg.(,5.40 m/s to rest over a distanc. .,lyxhw (d()nvjzc c5dg wmk9f; we0e of 115 m. 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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60#

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

A centrifuge in a medical laboratory rotates at a rotational speeds2iphe h t*xj4- bean (oe,,b lii15-q of 3600 rev/min. When switcheieo1ht(n2phsbi x-e*i, bq5 j4-l ,aed off, it rotates 50.0 times at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car wheerb 4riwd 0m6u7l require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what d 0w67rrbium 4is the magnitude of the force required when the force applied at $53^{\circ}$ to the wrench?

A. $190 \; N$

B. $380 \; N$

C. $19 \; N$

D. $38 \; N$

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62#

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

A wheel with moment of inec107 hvh ccw*frtia $3.00 kgm^{2}$ 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 follow,xtn wz; xn0cxren* h9:(y4imq2hi - xs: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about:h204hnx w9c;ixn yq-( txze, xmn*i r 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 5tl6(cz ih 4zhue(+w)f/bumbkg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N dow(b u(5zelhw/ 46h+c tzf)ui bmnward. (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 frij s;o33ndxr /vj wuzxnud*357ctionless 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. Ho3 ru3dusv*onzn/7; x 3jjwd5x w 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 en t3tqj3 m.fp5ul+s d+rd. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall.djl3r +tq.s3u+mftp5 What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

A. $2.45 \; rad/s^2$

B. $3.68 \; rad/s^2$

C. $4.90 \; rad/s^2$

D. $6.75 \; rad/s^2$

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67#

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

Consider a bicycle wheel to be a ring of radius 30 cm and mass 1. l-2a +hb/brzxyr:y2 j5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is appli: 22 r-b jzhbrlay+yx/ed tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pzi cwdxoft3q8;u05d- ulley of mass 7;zoi0d 3xt8f-uw5qc d .07 kg and 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;-l1rid9tj pf -) foze frictionless disk pulley of mass 7.07 kg and rti-rd l;-19j pfzf e)oadius 66.0 cm. What is the acceleration of the mass?

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

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

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

D. zero

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70#

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

A rotating flywheel can be used to store energy. If i0j; t:f7yjpzy t 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 i.u dtvy( 3t p+dcvq 5c9g:kl7nnertia 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 hc.wdbcv:j, ) ) bsjp7rolls without slipping d,jdcchvjps bb).w )7: own a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bottom of the inclined plane?

A. 3.7 m/s

B. 4.4 m/s

C. 5.6 m/s

D. 6.3 m/s

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73#

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

A solid sphere of mass 1.0j9 t+1bicnyd9 kg and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before com+ icj9t9d1b nying 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 of 0.20 kg is released from rest and allowejujkj hdo:fo * i 1ki.)d(z;;fd to roll down an inclined plane. How fast is it moving after dropping aojhijd* 1i.) fkuj;kof:z;d( vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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A solid sphere of mass 1.5 kg and rady) vlu *tksj31ius 15 cm rolls without slipping down a 35e incline th3s1l vu) ky*tjat is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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An object's angular mo : jar 7y2ilmk-5w1zz* vnus5dmentum changes by $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

A. $2.5 \; N \cdot m$

B. $5.0 \; N \cdot m$

C. $40 \; N \cdot m$

D. $80 \; N \cdot m$

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77#

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

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

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

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

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

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78#

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An ice skater has a moment of inerrp4,uwst ;z 9l/1v onqtia 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 +9 ; aa zm j/v6sqwqa+vbe7w2dl,,wxi.00 rad/s with arms extended has a moment of inertia,;/ww+l vvx2 a azs,6b9wiemj+7 qdaq of
$2.25 \; kgm^{2}$. 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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