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

1#

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Angular displacement is usually express in tf(dgrjvb2cm 5,x ;8rbt .n) munits of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressb h9 l4,pie x8:fhc00gbfg7wc kj-uh ;ed 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 expresizxbz)/p (b:1x*zocmn- 0vz f sed 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 rxa 8ifa+4xjdk cwng7;d;y :u6iding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has dxj7iu4 gayc+; xadf6:; wk8n 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 fv pm u.b/i+0cis turning at a constant rate. The 0pc+im v.u/fb boy is near the outer edge, and the girl is closer to the center. Who has the greater angular speed?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a mf f)k):2tu9l(nu nh jverry-go-round which is turning at a constant rate. The boy is near thef)jln2:uv)(fk t9hn u outer edge, 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 merryn/yfp/a1pmcd 4) oyq0-go-round which is turning at a constant rate. The boy is near the outer edge, while the girl is yo4 0)am1/nfqdyc /p pcloser 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 ridis z7.kdfz 1ry+utt60sng a merry-go-round which is turning at a constant rate. The 1fyz0 du.+6srkztts7 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 rotat: anj vjsm64 1h70fqiols)0k+ahb 9awing. Which of the following is an accurate statementqjba0hwlks1)i nj a9:h 60svo a mf4+7?

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 depend2-de c:s .wveuwe1+ 6 +oslktls 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 9xa8ou)-*ec-eou ;.0 )bnd ul4vywk immk+ta midpoint of the door; the second force is applied at the doorkno-aom dv*)x8icb eyl 4t n)u aue+kku.-0omw9;b. 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 d-6up0ibddhr, ( z sswsj 4,j-toorknob. The first force is applied perpendicular to the door; the second force is applied at rbsips jt, d(-- hdjz s460wu,$30^{\circ}$ 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 2ff zdnxy,ve;1h 1z9 n9zbc 1tto a doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of thefz 1f;9 1xc2nen,zv b dh1zty9 torque of the first to the torque of the second is

A. 1/4.

B. 1/2.

C. 2.

D. 4.

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14#

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What is the quantity used to measure an object's resistance to changz;y5yq)ukmez:9 tgi s(d3g 3oes in rotati5ot 3gz:yuqe9sigmzy;) (3d kon?

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)1lk(8ryhb k d the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of )rk(y1l d8 khbthe smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but oneezlt7gj; ,a. w) *sqkp has twice the radius of the other. The ratio of the lareg. zwt kjap,*s)l7q;ger sphere's moment of inertia to that of the smaller sphere is

A. 4/5

B. 8/5

C. 2

D. 4

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17#

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Consider two uniform solid spheres where one has twice the mass anb. xd/5v9 imy(rjuc2nd twice the diameter of the other. The ratio of the larger moment .ium9v b5r2n/dxj y(cof 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 the7vwx z6qik eew(2+5dlse are increased to 2M and 3R, what happens t (k5xw +eeivzqd2w 67lo the 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 isy4ybxqg uv* -3 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 solid cylinder about its axis is given by 0/- ;i)kn rcw+jkmq ys2.5 MR2. If this cylinder rolls without sliry)i w -2jkskm ;qcn/+pping, 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 may xye697+f 4zog6r m3g, 1rkdhq6rhe jss 150 kg, one wheel of which has a mass of 10 kg and a radius of 30 cm. What is the r36gjxyyq,ho +e96 1r e7rrzdghfm46 katio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume the wheels are uniform disks.

A. 0.033:1

B. 0.067:1

C. 0.33:1

D. 0.67:1

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22#

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Suppose a solid sphere of mass M and radius R rollhxt 4gzk/ua *u8 2c6hus without slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom of the incltu8a2*kzh4 u gcuhx/6ine 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 dowmu:ej-l8 /+u9c e*ynd fmu vy0n an inclined plane starting from rest. The angular velociuuv9 dyfm/y + lu0m:*je8en-cty 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 particqt5x s,uwfyh:5 9x2ecles changes when a net external force acts on the systehwsf5,:yxeu29 ct q x5m." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular veloci 1i)q lxd vlx7r706hufty of system of particles change withoutfu6lqv1x7 d0l7ixh)r any change in the system's angular momentum?

A. This cannot happen under any circumstances.

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

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

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

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26#

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The Earth orbits the Sun in an wwzm:ys1+/ w (p 4iqqqelliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's 1w+ wq z4wimy( :/sqqpangular 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. 5( zry5l .*rheuxpko91nrd0l As the Earth moves close to thepen05(ruhokd9 5.zlrr*l1yx Sun, then which of the following 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 spin) by pulling in his outstretchedk9-vb-l t; kwod. ea4q arms close 4kal- .-;qtv9ekdowb to his body. What happens to his angular momentum about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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An ice skater performs a pirouette (a fast spkv oh 0 (7kilay3f50pxin) by pulling in his outstretched arms close to his body. Whkfk5a yxhi70v3 0op l(at happens to his rotational kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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An ice skater performs a pirouette (a fast spin) by pulgc2uo7l7y l -vm: 3yosling in his outstretched arms closv7o2soyc37lgm-l u:ye 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 mome; xra24stzl -5b: dve3uiq.zaa6 az+p ntum.

该题自我估分: (必填) (满分:1.0分)

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32#

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

What arc length does the Earth travel in a three month period 9fmo n*qachdk 6.o zw+ d,8x6e 1ckv:xin its nearly circular o68 w:ooazdcn+. v*1ec k, dxq9fkh6 xmrbit about 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.l.wkhc 6su64 (c ozs7c30 m. What distance does the tip of the second hand sweep through iuhcscc.466 7(lwzsk o n 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 re +rh43bafx(i9doyrg*volutions 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 rota:eq xljz)tz 7qa tt32iy;i8.ztes uniformly through 2.0 revolutions in 4.0 s. What is the frequency of the wheel's rotatiyt2i;tz: 8i) j3t7 qx.la eqzzon?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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

A pulsar (a rotating neutron starbz,lk1k.ca 0s +uulj:woi: .k ) emits pulses at a frequency of 0.40 kHz. The peri 1k,lsck b:oju.:. iawl z+0kuod of its 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 rotates at 45 rpm. Thr,gfmjc on1moh7f 4s. :ough what angle does it turn in 0.20 1h f74,gnco m.fs:jmos?

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 4 whtl80szj .tp+yf8 tat 1500 rpm. How far will a point on the outer rim tjlt 048sywt+p8z. fhmove 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. What is thf1v 6kl i4mk(ue average angular speed oi6(1k klm 4vfuf 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 r3av wvngt 41-k,q -oz4.0 s. What is the linear speed of a point ,v1aow-g q3vkztnr 4-0.10 m from the center of the wheel?

A. 0.63 rad/s

B. 0.31 rad/s

C. 0.16 rad/s

D. 0.079 rad/s

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41#

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

A cable car at a ski resort carries skiers a distance of 6.jgmf,*w+ r7, fheg wwmwmlc6n rs);5 /8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast muscw w7 r5)mfnws;m6*jr g +f, glh/ewm,t 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 co:g- +kapqbaxfn:9x( bnstant angular speed of 2.0 rad/s. What is the linear speed of a point on the kaa (fbx:gn-q: x +9pbwheel's rim?

A. 0.50 m/s

B. 1.0 m/s

C. 2.0 m/s

D. 4.0 m/s

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43#

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

The cutting cord on a gas-powered weed cutter is 05 a,g2) or p+vwcr6y .mgv-mad.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear sg.- o vap)y5wcda2 r+g6,mrv mpeed 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 angulaomn 22lf1 mbibo tqvl4:w4- *sr speed of 2.0 rad/s. Wwtml2b l vibmsq4*of24 o 1:n-hat is the centripetal acceleration of a point on the wheel's rim?

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

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

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

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

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45#

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

What is the centripetal acceleration of a poin+u(g n)a ct+hmqsb6,ht on the perimeter of a bicycle wheel of diameter 70.0 cm when tnhmga+t)c, b (6qsh+uhe 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 cir-t3ubtuqeun u(p bfx 59t j+4 o,enj(7cular, rotating space station (r = 1000 m) rotate to produce an artificit5(u en4uojt7 9ubet+-jnqp ,( 3fxubal 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 n(l1 m7 hlwb-0apx a,ka flat circular curve of radius 50 m with a speed of 20 m/s. The m lb 7kwl(0 nmhx1,a-apaximum centripetal 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 radi yn5ie37 z t +ujr07o z+l-czjtdwf5e;t*h r)mus 50 m with a speed of 20 m/s. The maximum centripetal force (provided b*7tlf tzcn +5u 3edjhr0mt7 ej;- wyo i)5z+zry 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#

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A 0.300-kg mass, attached to the end of a 0.750d82*acwr0+cx xh 5g kr-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 tax*wcd0rr2g5 8 c+ hkxhe 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 rolls without slippi h,,hifs; d4asj )qn2fng 10 m down )j hs;dqa2hf4,s,nf i 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 wit a4y z8fqin66v1 dny6wh a constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

A. $11 \; rad$

B. $9.0 \; rad$

C. $7.0 \; rad$

D. $4.5 \; rad$

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52#

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

A wheel accelerates with a consta w,6p/hx3m avznt angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angular velocity at t = 2.0 s?

A. 1.0 rad/s

B. 7.0 rad/s

C. 9.0 rad/s

D. 10 rad/s

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53#

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

How many radians does a 0.300-m r7gcs bq /mt, egv;q92badius automobile tire rotate after starting from rest and accelerating at a constab/;q927 cte v,qgs mgbnt 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 7v x-ywt8jx/*hvb gk8acceleration 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 awime9*cvgomiu gql)ag -x) :;p-p( +pngular acceleration og -c)e-;px9lvm+u)pp g : q( i*awgmoif $-5.0 \; rad/s^2$. 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 reac8n6it4np xga zekx3ry 1/ru9d6e 8k8bhes an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the averag8nr kki p91xe/dn6e6yabxzu4 8t8r3ge 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 rest ov/ ;8 ow j3*fh4rrrlcwker a distance of 115rr;rlwo 4*k 3j8hwf/c m. What is the total number 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 8.4nvbtsu xx 9ln80 479os0 m/s to rest over a distance of 115 m. Wh7nxx09sotusl9 v4bn8 at 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 oqatz)m mjd+w. enokco s/2x18 80aeg 5f 68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the )w8k o omxde+c02m15gns8qj /e.az tawheel 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 lab2zns i.homm5* uh +rw6 a).nwoia 85rworatory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular a *o5rhh2+i. rsn)az.w nw mao6u 5miw8cceleration 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 ofchfs+(pc+n/+pu4t t d 90 Nm. If a 30 cm long wrench is usfps4up h+d/(ct+t c+ned, 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 ine azqosf3(985g b pcdg2rtia $3.00 kgm^{2}$ 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 followc a0vkdrzexwkr;e:99w7-ko + s: mass m is at the origin, mass 2m is at x = a, a0ad9ekr+z rk:ow- e 9 ;v7ckwxnd, 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 frictionlessj1/dctnoy gc f1l3-.t 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 doc /t3y d11ognc tljf-.wnward. (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 pivotedf40h *bjr f hpfe2)tq7 about a frictionless axis thought the c0fjh frhtpeb)4 2f*q7enter 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 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 in the ho lvszl)gs 8-p.ofxz25moc/1arizontal position,g 8.52 ossz /lz-1paco) fxvml and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about 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 r(ig:y p-x(bal. 8mftming of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force of 20 N is appl .m8bx( afi:gt(p-m lyied tangentially to a sprocket of radius 4.0 cm for 4.1 s, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped aroun)va7ey xgnvd2 ( 7d-pgd a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular accelerany7xvpgg7dd2ev ( ) -ation 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 fricti:;ey db(ykhew g12 5suonless disk pulley of mass 7.07 kg ygdehwy51u 2 k;ebs(: 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 used to st*(zu*7lmtt u aore 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 inerti-jyc;q2ku+wtf6)r 1ir wb ;dka 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 anmyn0j*izk dfly 5-moc,4v6 0 td radius 0.010 m starts from rest and rolls without slipping down a 04mlfmn*j6iyocz5dv,t0y - k1.0-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)mkm a, 0m 8hu7 iugyz7)8uyuz and radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined p yim0ma7)zzgk88uu,7 y)hu m ulane 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 ansunmnzuy *. g g0k:9 0y.ghp/td a mass of 0.20 kg is released from rest and allowed to roll down an inclined plane. How f :ghgytn.yk.0 s* n09p/zmguuast 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 x9mhr,we6 r4xcm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphrx649 wh,mxer ere 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 momentumyn+ h3wov. +r qmrcq mpha6+1/ 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 of4dkt3 vwr j-p3nzw, i( $5.0 \; kgm^{2}$ 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 rota3ybt2pz,zxqied 6+ 1x-iwnezn(n 1,tting at 5.00 rad/s with arms extended has a moment of inerti,,31 zx-ibt6nd y (zt 2wnx pe+eqni1za of
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

A. 2.25 rad/s

B. 4.60 rad/s

C. 6.25 rad/s

D. 0.81 rad/s

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