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

1#

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Angular displacement is usuallyu-p8+pyi 7ac qnt6+f w express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expxk80be+oylj2 ressed 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 units o ql (7xzdna+m jx,k7u,f

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 atb3 /a5po x3c b0 5-efwajine-x a constant rate. The boy is near the outer edge, and the girl is closer to the center. Wwa/eepn jfiob5--c b 3xx053aho 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 i9h d6tk4-- r5jmxeo0j 0 ocqkos turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has 4 9qdek0ocjx6 jok rt05- oh-mthe 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 riv5gos.ct ma ho:m 71(wc6px,gding on a merry-go-round which is turning at a constant rate. The boy is near the outer . h6x o tovc1,awg5pc(gs :7mmedge, and the girl is closer to the center. Who has the greater linear speed?

A. the boy

B. the girl

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

D. Both have zero translational velocity.

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7#

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A boy and a girl are riding a merry-go-round which is turning a0w :f2xtapfa :t a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater centrip02a f:a ftp:wxetal 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 is turninl4e9:vy4 xwsod tdz 8r.whp7(g at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangenl 7sdvd8 4.t9yo(w xz4:rp hewtial 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. Which of the following is an accurate e4 f;pnzvhw)( r1kmg0, slm1 xstatemw,m4)srxz1 mf g1kn;(vp0e hl ent?

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 depbq df :xgr9yf8i5b.9pends on

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

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

C. tension between the rolling object and the ground.

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

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11#

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Two equal forces are applied to a door. The first force is applied at the midpd1/c:f+aw6w 5a mc1i 5i1 esnlv;fzohoint of the door; the second forme1;v1ilsz d5wia wh f/o6+:f5cnc a1ce 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 forch;/ y uq wcj/jdm7xmr;j8)7mpe is applied perpendicular to the door; the sec 7mrmmc/)/;yjdqu8 hj7jw px;ond 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. 0qacj/jz, hjo+p 4(ohThe first force is twice as large as the second force. The ratio of the tor,c+ jazq(joj/04p hhoque 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'skt 5 1+iqg2ryz resistance to changes in rotatik igq2yzt 15+ron?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid sot75t ,s5zlv uas4ia1pheres where both have the same diameter, but one has twice the mass of the other. Tao,tz s 4uv175sa 5ilthe 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 hadil dip22vzvqo* /;8 9pt ahc4t .tan7ve the same mass, but one has twice the radius of the other. The ratio*to t hqa/ip zla7pv4 2; nvd8c9d.i2t 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 wheeot x2f0: 9bhtre one has twice the mass and twice the diameter of the other. The ratio of the larger moment 90 htt:foxbe2 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 tow-:fmyl: 7r4p3l3 xgq kyle le(f, b(p 2M and 3R, what happens to thef,g qx l3y plmk3w4(ll7-:fb e(r:ype sphere'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 object, that objego j3w7v.m. rjct 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 iz0 w l)inje3e ;o9wxw: z0f1rdts axis is given by 0.5 MR2. If this cylifliwz1xww0on9;d0r e:z ) e3jnder 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 150 kg, one wheel of which hahz( .cr:dl u3 x5gsr*.k .y)ttppy* zas 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 kineticlt:p.kz .5sg3c a r zyxp.(td)u*h ry* 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#

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

Suppose a solid sphere of mass M and radius R rolls without slippt) wttvpq 53a9ing down an inclined plane starting from rest. The linear veloci9pa3 tvtqt)w5 ty of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls without slipping down an inceay/ lszc1kv;/ lxa 1cl75f 7glined plane starting from rest. The angular velocity of the sphere at the bottom of thez 117/ af5 x/;e cy7cvaskglll 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 ai a(sdmb64xo*/nf le1 system of particles changes when a net external force asna*l/ 4omfx e16(dib cts 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 the anm )blcp -ve,l/gular velocity of system of particles change without any change in the syst -lmcepv,l/b )em'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 i-+pww/wdw irt/ pv( ,emus;a0n an elliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentum about the Sumpew;w r-+twd/isaw,pu0v (/ n?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. As the Earth moves closd8r zmw-zq3 )y0kxd cmg--4ase to the Sun, then which of the fol rd3k)4smg w zmad-y8q x--cz0lowing best describes the orbiting speed of the Earth about the Sun?

A. increases

B. decreases

C. remains constant

D. none of the above

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28#

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An ice skater performs a pirouette (a fast spnh).: bt 6( )tmqcrlspin) by pulling in his outstretched arms close to hismr6cs)( n.:l tbh qt)p 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 a pirouette (a fab /hyfh18gv)w68sk cast spin) by pulling in his outstretched arms close to his body. What happens to his rotationf /h)a81vgc8 yhbwks6al kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs 9lc.qc bwgrh+w/ 3p)sa pirouette (a fast spin) by pulling in his outstretched arms close to hih cp3+swc b9l).gr/ qws body. What happens to his moment of inertia about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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State the law of conservation of iblq ) 2)q4jr 52bmqbfangular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its 0q j)f(mqzz5hnearly circular orbit ab(mh0qjqz5zf) out the Sun 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. Wh(0,ynf js,jl cat distance does the tip of the secondf(jjc, 0nyl ,s hand sweep through in 3 minutes and 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minute eq2 ki/ 4znz4;aqg8mzhsuivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 ser73mhw sd,x4o:a*fi . What is the frequency of the wheel's si7dhfxo,e m4 r:3*wa rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits p:ya* b.cd7gswulses at a frequency of 0.40 kHz. The period of itsbgways *dc7: . 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 +i.w +;ycqoxu5)bn 6s ms :ojiit turn in 0.20 sbsmc+w+6x: j;n).iiqou o y5s?

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 m;q97* fdptgv 1500 rpm. How far will a point on the outer rim 7qf9g v*;mdp tmove 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 revolutions in 4+kh*nfm/,hxc+w9 0rsc 8m o 3rpqarv7.0 s. What is the average ancrwrh pnr ++,o c0sqm83mvx/*a97hfkgular 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 4.0 s. Whq o3 4vpx* c+ 6r2xuxnj1 gv8stlt7nj,at is thext njv3jqvcxux4,8rn2 t6+l * gps 71o linear speed of a point 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski rervhrb1u1 tp0.y0 /xkop80ky msort carries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley witho/ mr1khp1 rukx0. v0p80ybyt diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

A. $9.4 \; rpm$

B. $30 \; rpm$

C. $60 \; rpm$

D. $720 \; rpm$

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42#

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

A wheel of radius 1.0 m istt4b(v-p nlr6 a eiz0; rotating with a constant angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel's ritn6p e;zr vtb(i04la-m?

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 cd+xkn sqdr,61 utter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approxi,61d nrk dxsq+mate 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 y(c7kr;4ykj: n:-ak er 2g4w eualdn12.0 rad/s. What is the centripetal acceleration of a pnerkyk y1:cjak7(w2r g de ;4a:uln -4oint on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetal acceleration oge.b qud7 ic 6hck7d65f a point on the perimeter of a bicycle wheel of diameteqec idu6k g. 6d775hcbr 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#

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How many revolutions per minute (rpm) must a circular, rotating spac21j( )( kvjp 9yqa:dle9u phage station (r = 1000 2((:a9ypka j qlg9)vd1u ephjm) rotate to produce 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 of 2iy7cz fbv 0vm) +r7eiys) ae330 m/s. The maximum centemr7vc +ivb )3i7fy0)z3seay ripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

A. $0.40 \; m/s^2$

B. $0.80 \; m/s^2$

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

D. $8.0 \; m/s^2$

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48#

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

A car is negotiating a flat circular curve of radius 50 m with a speed rn7j/ kptub/1of 20 m/s. The maximum centripetal force (provided by static friction)71p/n tkurbj/ 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 otlosb8u +ss pp:88mo .qtoobp;5f f -.f a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum l .tp stmbs-qo;8.pb: ou+pf8oofs8l 5inear speed can the mass have if the string is not to break?

A. 19.4 m/s

B. 22.4 m/s

C. 25.0 m/s

D. 32.7 m/s

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50#

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

A bowling ball of mass 7.5 kg and radius 9.0 cm rol /kjoeujhg (ke2xxg(k3h8b,q( k8 k(mls without slipping 10 m down a lane atu3ekj,bk(8k8h x(gq 2gkkj ( m/hoex( 4.3 m/s.
(a) Calculate the angular displacement of the bowling ball.   rad ( fill in numbers only)
(b) Calculate the angular velocity of the bowling ball   rad/s ( fill in numbers only)
(c) Calculate the radial acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)
(d) Calculate the tangential acceleration of the bowling ball    $m/s^2$ ( fill in numbers only)

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51#

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

A wheel accelerates with a constant angular acceleration of -y( y d8b rpoye4f4za--1ktdz$4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a constant angular acceler+r:vj0*eetyh j*b+ 6s w k8dnwation 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 rot8 2 a kqezw(c+5.aydt)uoh2ewate after starting from rest and accele2a e(a hwd8ue zko)y+w.c25tqrating 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 an angular mv 6.yt, 6ws.rex5fblacceleration 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 accele*9 .+ 1l5x4gh qtjubiduw wga-ratil u9 45bgx1 qwd.whutgi*j-+aon 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 6g 7tzfw2ck+v ..0 rad/s while turning through 2.0 revolut wv+2t7g zkf.cions. What is the average angular acceleration of the wheel?

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

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

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

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

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57#

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

A wheel of diameter of 68.0 cm slows down uniformly from 8.40 m/s to r cnvsi 0)o ss*))eg9b6a j(icf2jjye4est over a distance of 115 m. What is the total nui agcbjsjify(6c)se)o92 vs 0)jn 4 e*mber 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 68.0 cm slows down uniformly from 8.40 m/s to rest z(lci 0,-pvlgover a distance of 115 m. W (ipvl0c,g-zlhat is the angular acceleration?

A. $-1.80 \; rad/s^2$

B. $-0.90 \; rad/s^2$

C. $-5.65 \; rad/s^2$

D. $-11.3 \; rad/s^2$

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59#

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

A wheel of diameter of 68.0 cm slows down uniformly f15f9xub2ja60kp* tl w + igxofrom 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to t05fpuki1jt*og2+x9xab6 lw f he 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 rotationg t8 t+nyvy9bvm)*da (al speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constanttm(v)bngtd *9ayyv8 + 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 wheel require tightening to a torque of 90 Nm. If a 30; /8j)gxcr ty.2v02cn0cjv3sup(tmzychn j+ cm long wrench is used, what is the magnitudev3c2u0nc.28cj+jpytc v)mrjnt sxzg h; 0y/( 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 inertia vk636ef5ak k7s rzbe8$3.00 kgm^{2}$ 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 modeleds1e.u,egibr0wg l+k q 6in.z9 as follows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the9w1g .q0nibk,iur. sg+6le z e 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 .le7*w ,sga it5i2vsz qz48wa10 kg 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 rightai2 wisel atgzq*4wz 7. ,s5v8. 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 c4fml) 74/zr, imnwwied e86w br(vq2kg is pivoted about a frictionless axis thought the center )ic vwermz( 4wrl w/ 2,qm47infd8be6O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it 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. 12p(zo q+rvhy-yqct 0 The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is re2h(qy-ytz vr+1o cq 0pleased? (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 radi7z pur)* /wwnhus 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied rpw/ zh*w)u7ntangentially 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 dmtsl2; q0d ot: t6ea8qisk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration s6te:;2odmlt0tq q 8 aof 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+bz.-leubi1c xuua;q( rq v8;6y bz0a on a rope wrapped around a frictionless disk pulley of mass 7.07 k rbzq6q(b. x-yzb0ea1l uu;;u+iavc8g and radius 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*jy k5ms6dk.bha 4k3m used to store energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inertia of(5samsfvlbhzo,*y 8 (vf0j+ v5tzt5 ng;f r x: $5.00 \; kgm^{2}$ 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 adgwgw ;6gwwh)grei9eq /b1x94 z1gh2nd rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches the bott/) 2dxggezgwbwh11r ei9;wq9w4g6hg om 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 radius u/bf/ee l)c7o gc2i 8.nqvt n)xb9*tm jg8ov;0.010 m rolls with a speed of 10 m/s. How high j2gite 7u8tg*qcv .xov f cen/9l bb);8/o)m nup 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 rest and allowedha vi1-9u7vqf to roll down an inclined plane. How fast is it moving after drop 9q 1uva-fh7viping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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A solid sphere of mass 1.5 kg and radius 15 cm rolls without slie25 ssnh4/wvp jh8w,k3m* txnpping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of insw *w8t43hp snhn2,ve mkj x5/ertia 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?

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Mark Problem

76#

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

An object's angular momentum a;z-dtk1m74 8 ipamcschanges 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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Mark Problem

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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78#

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

An ice skater has a moment of inertia 6t3 *bskltjwy22wv2fr 4 i-cvof $5.0 \; kgm^{2}$ when her arms are outstretched. At this time she is spinning at 3.0 revolutions per second (rps). If she pulls in her arms and decreases her moment of inertia to $2.0 \; kgm^{2}$, how fast will she be spinning?

A. $2.0 \; rps$

B. $3.3 \; rps$

C. $7.5 \; rps$

D. $10 \; rps$

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79#

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

A figure skater rotating at 5.00 rad/s with arms extended has a moment oa7ry0s 1ix*+m em,t vof inertia es mxrv +a7o*myi,0t1of
$2.25 \; kgm^{2}$. 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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