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

1#

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Angular displacement is usually express in unit1 ci9piu)l ,npn0*p 3p4awhhis of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in uni*y 4f25 o dt*rkb.ckuqts 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 expre4:o n4uvo,. dkxbx-p-mb0phm ssed in units of

A. meters per second squared.

B. radians per second squared.

C. alphas per second squared.

D. arcs per second squared.

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4#

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A boy and a girl are riding on 9 ol,*gvtf6 nfa 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 haftg ,n69fo*v ls 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 turnb *so7j b,qx.b.ume yra- 4tw9ing at a constant rate. The boy is near the outer edge, and thu.sbqw,mt -r *j9xbyb .47eoae 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 on a merry-go-roun hh5e: l*w0nbnd 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 lnnhh5b *e: w0greater 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 eopw ;4fpa(n; riding a merry-go-round which is turning at a constant rate. The boy is nea;nopp wa(; 4efr the outer edge, while the girl is closer to 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 merry-go-round which is turning at a +j2: hfyu*f uwa-( g ykq(ky7fconstant rate. The boy is near the outer edge, while thh (yay f- y(jqk7f*kuwu2g:f+ e 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. Which of the following is an acce+.z(llktm u8a3ni .3 4is6clu 3f gliurate sta8u t e3.(m6+zk ciasl3i3fllln. 4i gutement?

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 slippi; zv.0psbgo+k ng depends 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 firs-nc4 +nfrk gddrm:*o4t force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular tng*4 n:rom4k -c+rfddo 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 do) l2gcwr*d :cjorknob. The first force is applied perpendicular cc)g2d*lw r:jto the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The firstll(m+g z mi3l9 force is twice as large as the second force. The ratio of the torque of the first to t9 l(im3ll+zgm he 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 resistance to changes in ro4alf-(qwpcw :4g 23sk/z auzztatioc2f 4w3pa-kzgasz zlw/u :q (4n?

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 bnjd4;f5gy x hurc7,1h gx0sy 5oth have the same diameter, but one has twice the ma xfyghj ynxg41u5h0;,d5c sr 7ss of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one haqa q dhto5*:q3s twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller spho5:qta q*d3qhere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform;nkd-.y .8ns5rspgg p solid spheres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia s5ys8ppkgnn.d . ;-gr is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased to 2m /cnq +:.s ysb+,kj hvd81evvM and 3R, what happens to the sphere's moment of inerti:qvyk,m .s++1h8cnb /j devvsa 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 torquep 8 i eds5bla(8nqqmza2:j;: s is applied to an object, that object will

A. rotate with constant angular velocity.

B. rotate with constant angular acceleration.

C. having an increasing moment of inertia.

D. having a decreasing moment of inertia.

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20#

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The moment of inertia of a s kkcl yjct2s+0 /ed/k7olid cylinder about its axis is given by 0.5 MR2. If 72c/+k d0kj /sky ltecthis cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcycle of mass 150 kg, one wheel of which has a mass of 10 kg an6hrwt t e,66hq/06vxel, b fvc(0oi ykd a radius of 30 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 q6 ti,oe(e 6rh, wh0f6/6btyc k0lvv xdisks.

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 s .rljje) z( uj 8dv:5*xdqtpp090 pvrllipping down an inclined plane starting from rest. The li9 p jr0j p.l:*)vduj(xel85v rp tdqz0near velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass llqa0t7( n9ciM and radius R rolls without slipping down an inclined plane starting from rest. The angul (qi9ntl0c 7alar velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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24#

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"The total angular momentum of a system of particles chcxyi8am6 8dv 4anges when a net external force acts on the system." This statmvay d xic4886ement 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 ll;b1,s 4hr uw )ibpazux5ni*33gr:w velocity of system of particles change without any chang h3igsru 4l ra1bbu , :5pl3n*wwxi);ze 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 e8w16pqmtm2e;8nkb d.0 vx ts jlliptical orbit. Ignore any friction which may be present. What hj .;sepvd8 t8q62b 1n0xmktwmappens 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/bj sp3n.dh5 nir)ih: orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of thbd:5 iis3nrp/.hh n)je 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 pulling in his outstre+q63kc rwbms 9tched arms close to his body. What happens to his angular mome +q rbk36s9cwmntum 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 ((jce1i+w/ enr/u: nula fast spin) by pulling in his outstretched arms close to his body. What happens jnu ece/nwl(/ riu+1: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 performsg- iqjs7qgy4d ui12 lth7va;ma+4 a( z a pirouette (a fast spin) by pulling in his outstretched arms cl7vzaa-q7ljhqus ; y1 g2+dg 4i4ai(tmose to his 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 angular mol,mlt;rmr /:3 j w(jgbxfi7x .mentum.

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 Ea y3 1k2k 7hw;ljaouv (f.dkeg)rth travel in a three month period in its nearly circular orbit about tg ueod.k3v1;wklj 7 ak ()fh2yhe 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. qfcf((4fgmf9 30 m. What distance does the tip of g(q(ffc 9 mff4the second 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 re8tdgq ob +nzb2v v2(5/c k1wxyggz)m4volutions per minute equivalent to?

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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

A bicycle wheel rotau 5iyeex g7e8 f34i 4lp1dxx0htes uniformly through 2.0 revolutions in 4.0 s. What is the freque ey7fgh8e 53ixui0 xpe41x4l dncy of the wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a fa-s(qg2 i3xiv requency of 0.40 kHz. The period of vi2a( 3-gx isqits rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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

A phonograph record at d6xyh7 +h-yrotates at 45 rpm. Through what angle does it turn in 0.20 s?yyahxt7- h d+6

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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A wheel of diameter 26 cm turns at 1500 rpm. H h9zpk(tj-rn x ruk)4r )wjb/y lovt(+oi+/g0ow far will a point on the outer rx)(zr+t9)okiy/j g0 jt(r/nbk w o+rluh4vp -im move 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 4.0 s. Wki)h is:.8cc (kgn x4d-hlw5q hat is the average angular speed of the wheel?hhnil(k x5 k)-iqccs8.dwg4 :

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 smu- 8slc t-u+c. What is the linear speed of a poinst+- muclcu-8t 0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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A cable car at a ski resort carries skiers a ddnhkvu*g8/ ;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 thnkh* du8 gd;v/e 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 isg rc7): uc2 qkwn+kiw2 rotating with a constant angular speed of 2.0 rad/s. Whati 7 2wqck n+2rcgk:w)u is the linear speed of a point on the wheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-power zado0 5loj/f be2gog1q1t w9)ed weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what aw jdo95 t0o1o1f/l g2bgezq )is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular speed ofblvwj* xvm gb a./ 7-af,9p7dk 2.0 rad/s. What is the centripetal acceleration of a point on the wheel's rwv,.9f/b xja mv-akp*g ld77bim?

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 acceleratio3ak,1x lhrjj 2n of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is xhjjk3l1, 2ramoving 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 w: f dho//k+rkspace station (r = 1000 m) rotate to produce an artificial g/:+rk o w/dhkfravity 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 s ugn c 5:,qhb0bqa9-rmpeed of 20 m/s. The maximum centripetal unq0bm9:bgqar hc 5,-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 radp(uansreqm.8 :f1f+ pius 50 m with a speed of 20 m/s. up .sef(mn+p 1rfqa:8 The maximum centripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

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

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

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

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

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49#

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

A 0.300-kg mass, attached to ty 3rnzbuly 6iwyni538;ub -;ia5tx 0fhe end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is not to bu3wrxytfu bii0;b;yny 6i553l -za 8 nreak?

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 masb*l4jh9 eb7nq s 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 7*bn4b elj9 hqm/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 acgfy4m- ui8ew5 celeration 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 constant angulawi- v obltwm 90sc5 ,)tjm*(6y-hxkc mr 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 tuabyy812voy*w 6,my cire rotate after starting from rest and acc2w auvyo*b68 yyyc, m1elerating 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 accelerati8dac u+9a i5b6yi5y rpk vy49mon 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 deceleratef sge7 u69hr w ;t3hkrbo)u*h-s with a constant angular acceleration of f*r6e wgso-h9 3rukb;t7)hh u $-5.0 \; rad/s^2$. 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 rlare(3n et8:kbj;uk;t-yqv :p mg9.feaches an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceltvg jm.pe-a;n38:eu9k :tbqkyf lr(;eration 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 x c)wrsohwwxcih6 :)k 0h; o7,8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel roh)60owicxx h7:,showrw) k c ;tates 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 uniu9, lgysqdzc,.z,9*sd z z z;xformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration? uz9zgs*,czx ys. ,qd9;dzlz,

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 kv61g2;1.x ycwuw3e o apv 8fnm/s to rest over a distance of 115 m. How long does it take foaeuo8c; 6w3 vnfw112ygv.pk xr 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 z.,: dtrvcj)a laboratory rotates at a rotational speed of 3600 rev/min. When switched off, itc )ja:,r td.vz 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 wheel require tighte.k6 0ct2wkt lqning to a torque of 90 Nm. If a 30 cm long wrench is used, qwkcl06kt.t 2 what is 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 sj6p: d .znb0i;mmnsp.a1/ htinertia $3.00 kgm^{2}$ 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 modeledbei5ncso7+k ((pgkp0(hgh n0 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 n obnh0(0( 7p( igk+5 egcspkhinertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionless axis thought the eh42 wqn:bya 7d zl40sdt44jvl:xz1b ;6ecxgcenter 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; eb4zbq: eznxl4d: cy hs26v4a wj0 7tlg41dx force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

A. $1.0 \; rad/s^2$

B. $0.60 \; rad/s^2$

C. $0.40 \; rad/s^2$

D. $0.80 \; rad/s^2$

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65#

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

A solid cylinder of mass 10 kg is pi3j*it5thn5cy cb,b yy 1ca.5b voted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from reyjh b3,ycyt5 i.5bbnc 15ca*tst?

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 hingtfhu4 c -emh3djw92/z9gvfm 1ed at one end. The rod is initially held in the horizontal position, and then 3fg41m9h-9vhef/wt m 2zucjdreleased 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 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 anb k3oar/ xg.(sl7lbr *d mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, asrlo7b(br k lg3*./asx suming 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 pulle;b( rot91 n ti)vxku9jy of mass 7.07 kg and radius 66.0 cm. What is the angn1bo9)ju r(x tv;t 9kiular acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley of mas,;ec37 aaw wzvs 7.07 kg and radius 66.0 cm. What is the aczava7e w c;,3wceleration 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 it is requir 9 nei8s1wn:mz-tkkd*2pmrn3ed 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 inertiqx8,r 4yzuzc-a 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 an nj,y(;f 6)u8wsjm+nvx 4etrkd radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high f, 4 sxur8ntn;w)mj(kv+j ey6inclined 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 1.0 kg and radius 0.010 m rolls with a speed of 10 m/sx kft.ns jlu+ 7+nb86m. How high up an inclined plane +l+7 k8 nmntbsx.fuj6can 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+pn- fz2m g xz+-. dtn3ge18aja0iuah allowed to tz h 3-xm-pge0+2zaf + nji naua8dg.1roll down an inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping do o5 j4bxko:r3lwn a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is giv :3o45 bxkjolren 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 chanli)km1.zonyjdij e o1*15p/kb 9i (snges 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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78#

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An ice skater has a moment s -h67 r8nifchof 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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79#

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A figure skater rotating at 5.00 rad/s with arms extended has a moment of inex-8nn2s0 hj lnvrqb (y 1dx;g9rtia obd vjgn2y-;xnn rs( q910l h8xf
$2.25 \; kgm^{2}$. 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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