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

1#

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Angular displacement is cm7ps6*ycx 5nusually 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 4:6cn f 2u y*qiwfjlw8in 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 accelerationsi/f52z w 4.eaom -erg is expressed 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 a merry-go-r2ig -dkly 9yn.itm/t:aw y)3jound 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 displacei tdwyk2a 39jmi)y:gy .nl /t-ment?

A. the boy

B. the girl

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

D. Both have zero angular displacement.

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5#

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A boy and a girl are riding on a merry-go-round which is turning t.7i 4du::xsbidsj9rtyi7 5 n at a constant rate. The boy is near the outer edge, and the girl is closeryru9xj id:77in s bit5 d.t:4s 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 e7t-v/5 atu yvon a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closev7u/5y eavt-t r 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 a*0n (g/ pti xls*jz*nwch s3.rt a constant rate. The boy is near the oute*pgs* n3w cz *0 xsl.ithn(/jrr 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 r6u:k,cypv*l liding a merry-go-round which is turning at a constant rate. y clulvk,6p:* The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is r j)fqw8b 0nub 1 unm fa18c0bb7+3jyatotating. Which of the following is an accurate stat0b y8+ub 0qwcj 17jbu nb1na3f8amf) tement?

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 slippcjdwcgko*a-2 + adj xex -85u9ing 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 ap*k gv5h+ovd /;w srlb6plied to a door. The first force is applied at the midpoino lh+5rb/ d6kvs*gvw;t of the 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 +qx3grybe cl* +(utvp( zo ;2ndoorknob. The first force is applied perpendicular to(c+(e;tlbpz* n 2gyv3r+ qu xo 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 4dw(l gy5 a3u.dqfpj6the door. The first force is twice as large as the secopayq6 w g34dl.(d5fujnd force. The ratio of the torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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

What is the quantity used to04 *jx0y uwfte measure an object's resistance to changes in rotatio4u yxe0*w t0fjn?

A. mass

B. moment of inertia

C. torque

D. angular velocity

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15#

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Consider two uniform solid spheres where both have the same diameter, but one rv4j j:f9 0qzl:(ieqhkn c94vhas twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of iner vv9fz(k49jjqeh:nlr0 ciq4: tia is

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16#

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Two uniform solid spheres have the same mass, but one has twice -) g:e s6syuc/5bb a xswznd-,the radius of the other. The ratio of the larger sphere's momscsd , bx:ba-/sguz6w5)yen- ent 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 sphew7* g4u;/vtadyxap 7mres where one has twice the mass and twice the diameter of the other. The ratio of the larger moment of inertia to ya m 4pa/vdu7g*7tx ;wthat 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 th7merdfl+p sx cc(gffn143,t9 s7rj5 h ese are increased to 2M and 3R, what happens to the sphere's moment of inernml7pfh g15 td (79s 4sfefrc3j,c+ xrtia 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, o) gj+r c8otg.wx w1k/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 auai2,3ed vgcpz5p 5kqju+l+ 5bout its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy e5k2d,u+qc3pijp glza+5v 5u is

A. 1:1

B. 1:2

C. 2:1

D. 1:3

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21#

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Consider a motorcyclepr tb f0vte* 30w(,dbye,m:bc of mass 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetvee bmdp w * f0crtb3t0,yb,:(ic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rolls without s.nc* ,)i by +v0ynkcvylipping down an inclined plane starting from rest. The linear velocity of th.yvnk*,iyb0 v ) c+ncye 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 Rm95quugsil y65 3efl8 rolls without slipping down an inclined plane starting from rest. The angular 6e8 5l9yl35gi su mqfuvelocity 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 8m)4z7zsgs4 ,rzpt:fwt-p7l f2vl koa system of particles changes when a net external force z 4 7zslfl 7k4):ptr8tsvgzmfop, - 2wacts 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 cfn*mbao)5;rgkb r8 d ,an the angular velocity of system of particles change without any change in the systbb5gdfn *r ;,ka)r8moem's angular momentum?

A. This cannot happen under any circumstances.

B. This can happen if a net external force acts on the system's center of mass.

C. This can happen if the only forces acting are internal to the system.

D. This can happen if an external net torque is applied properly to the system.

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26#

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The Earth orbits the Sun in an elliptical orbit. Ignore all+4(vjtf bw+o4 ne8 any friction which may be present. What happens over time to the+l wj8 l4ofe+tbv(a4n Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about the Sun in an elliptical orbit. zuvcn 9r7 4d*p As the Earth moves close to the Sun, then which of the following best describes the o p4vudr 9n*7zcrbiting 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 pulling ihb5cho tw1; 5gn his outstretched arms close to his body. What happens to his angular momentum aboutoht;hcgb w5 15 the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spin) by pullin57)0f flt+c:n mfhndug in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of r0fnuf7t: m dcfh l)n+5otation?

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 i37irudmil 3y4n his outstretched arms close to his body. What happens to his moment of inertia about3ludim37r4i y the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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31#

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

State the law of conservation of angular momentumlu u )ccjb/w+6ti t9q+.

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 ihe*7st lc5uj v+s p 5ygn8)8zvn its nearly circular orbit about the Sun with a hc55 j78stse g*+vyzup v l)8nradius 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 clq1lk xyl2n/sw (b5r(lock has a length of 0.30 m. What distance does the tip of the second( 5l ywns/(br 1lq2lxk 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 revolutih(wwcfr,xu6 xm(rp, ; 2s/b zwons 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#

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A bicycle wheel rotates uniformly through 2.0 revolutions in oc1 emuk1 xoke) 7*c+d4.0 s. What is the frequencyoeo1mcc x)+e*7u kd1k 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 puls.k0938f:zpbnia rd w8uh 8dsi es at a frequency of 0.40 kHz. The period of its rotasp i3wriu:n ab 0hf.d8z 9dk88tion is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Through what angle does it turn in 0.2*6o /f3vn eodu0 su3fn*6e/v doo?

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 rpefg.pp(-fe- fu 35 cnuy,i-c ym. How far will a point on the outer rim move in 2.1 (ffp-, i-5ce3ugey.yup c-fn 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. What is thewi i7bewu38 1hgc pt46 average angular 37b wp 41thgi ceiw8u6speed 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 unu tcw9h92, 0s bz/rr22uwz gabiformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the 0twrubz9ur / ,2s a2zw9 gh2bccenter of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski resort carries skiers a distanc/ dz gq92vrrk,e of 6.8 km. The cable which moves the card,kz/qrg2 rv9 is driven by a pulley with 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 is rotating with a constant abe) b-h9haiy6ngular speed of 2.0 rad/s. What is the linear speed of a pointbh a b9-y6ihe) 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-powe*i alv vy(3, szo4prv*red weed cutter is 0.16 m in length. If the motor rotates at the rate of vv *aoi(*l4zsp yr,3v20 rev/s, what is the approximate linear speed of the end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular speedql(rpjrbz *1j):n(hg of 2.0 rad/s. What is the centripetal acceleration of a point on the wh rz jp((g):lhn1*jrbqeel'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 poi2j:am0gn7b43 gdrzid5e x n3wnt on the perimeter of a bicycle wheel of diameter b7z iwdng354gjrmx30 2nead:70.0 cm when the bike is moving 8.00 m/s?

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

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

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

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

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46#

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

How many revolutions per minute (rpm) must a circular, rotating p(i txa9-.nfy space station (r = 1000 m) rotate to produce an artificial gravitynt y.i-p xa9(f 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#

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A car is negotiating a flat circular curve of radius 50 mmepgy (djy196k o+4q d with a speed of 20 m/s. The maximum ce+gm(yq41 jd9po6 k ydentripetal 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 z s,+ev 5zwzrg ka8l:h778gcyof radius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction)8 a7g 7hk+:zl8gwrvc, ysz 5ez 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, attu+o5po)n8s j dached to the 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 wp)u5 s+dojo 8nhat maximum linear 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 ra8daftdq+a0 m7 4r/gzqdius 9.0 cm rolls without slipping 10 m down z4r7dtfd ma+gq/ 0aq8 a lane 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 constant angular nk+42b4he./ m l xvfziacceleration 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 angular acceleratib , rlb9l;8iymwg 9rc0on 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 star(k sdcw)a ,g phcu:lri6(j8n 7ting from rest and accelerating at a cg l (,dhnc us8i6rp7:j(caw) konstant 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 acca x(dcua, 4lwrdz1sgbz8 p ie8862 6hkeleration 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 angr7dcf: (wj gd4ular acceleratdc:7w jd(4gf rion 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 speg8r xu5en(: kted of 6.0 rad/s while turning through 2.0nxr gkt5(: 8eu revolutions. 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 res7z)kby:uy xw8t over a distance of 115 m. What is the total number of revolutions the wheel rotauxw7 yk ):8byztes 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 cmqn:6 s*-0w 8gqcg c0 yx3a*-4yefo( ohpu zqnl slows down uniformly from 8.40 m/s to rest over a0e- qagqh:yo0*nn cpw yl 8x -f*4s(q guc3zo6 distance of 115 m. What 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 f gjt)0 n81h 8yet(opjxd) :d0yrz 3h01qxalju rom 8.40 m/s to rest over a distance )j0)thnx8(t0oljhrzup1 dxe j a qy81:dgy30 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 laboratoryq6wk-+a7 .zzqu ttz0 p rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration before c zu7q.az0-6qw z+ptt koming 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 tighteninm/;n2 6uhlit5 y refo9g to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force requi 5etfi yol;9rm 2hn6u/red 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 inerl2 nv1z+2ipbntia $3.00 kgm^{2}$ 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 followx1)) 0d cbul;xhu(kfts: mass m is at the origin, mass 2m is at x = ;)u)u0(txxl c1hfbdk a, and, mass 3m is at x = 2a. What is the moment of inertia about the origin?

A. $2 ma^2$

B. $3 ma^2$

C. $12 ma^2$

D. $14 ma^2$

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64#

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

A solid cylinder of mass 10 kg is pivoted about a frictionlesl9;grcna +0 v3) imd/dsituu)izk) *k s 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 dz cv0/+t)r umn9k)ui g*alk;iis d3)wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass 10 kg it 2m a -2ym.2 6y))rwazxqoiwts pivoted about a frictionless axis thought the center O. A rope wrapped arou2zy)am.twy)xr2 i-m2at 6wo qnd 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. The rod is initially held ind f0 m21rh(cia the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The mh(c 2m 10afridoment 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 1.5 kg. 7dn lqyogn;8fcg 4w30ork1u2 ,lm b:alh : a;yNeglect the mass of the axle and sprocket. If a force of 20 N is applied tangentially to a sprocket of rabokln 2dcaf;3g0m yql::;4 8h nl,g wuyo17 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 frictionlehq/q1/ qge(p yfmg o69ss disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration of the/(/qo69qm h pgeyqgf1 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 pulmp:e2ta2mu5 c objj62ds/ +us1el)dgv dug69ley of mass 7.07 kg and go m :1/e2ump)ubtc 59 s6v2j2lgdadj6+edus 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 used to store energy. If it is required to mcsn6 x(ph*t. .2k 5hhiyzaa 99)iexbstore $1.00 \times 10^{6} \; J$ 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 i3 d5v-rnzn m4rprrz44+1o a nnnertia 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 angr g1x1ja4 qugz (gf)8d rolls without slipping(g8rgf)4ugzgq 1a jx 1 down 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 1.0 kg and radius 0.010 my1 a y-j5f(rx ssylv(* rolls with a speed of 10 m/s. How high up an inclined planev5*1r(lsyax s-(jy f y 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 b+r*sa6 itg* rkg is released from rest and allowed to roll down an inclined planer*6b* sg+ir at. 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 cmyliw f*ffx8r.t l2e(0 rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of iner*0tell ir8(fxyw f.2 ftia 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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76#

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An object's angular momentugj-ng nf9i)v,:pmr*weq6j/ ym 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 inertia;oozkw4 34sk ko )+ux4rqm q,s 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 inertiw - vywq*(+-enu2/ .yrhje u geyeh29ka of*w uq . evung-(jhwreh/eyey22 +k-y 9
$2.25 \; kgm^{2}$. 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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