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

1#

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Angular displacement is usuallyv3wyedwn92 hd3;cy.)onxj(a express in units of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressg) dhvaxv/4 s7ed 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 -+utco0k 0s gmexpressed 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-rou8ehzy w* m+lai t dz4lzzc)u/nt y-221nd 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 angulhz*m) w2yt2y z/d1 lza8cil-eu4n t+ zar 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 ridiv 4drgnnz/x:8ng on a merry-go-round which is turning at a constant rate. The boy is near th8rzxn/ v dn4:ge 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 areu+a*v h)l*kwm w +pv9f riding on a merry-go-round which is turning at a constant r+*ahf p+v 9km)v*wwlu ate. The boy is near the 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 merry-go-round which is turning at a constakay5ux4n **rpg ii,bf ,a te:4nt rate. The boy is n y44uxkn5 r *gtb,iiape,a:f*ear 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 meemp4v1gx1 0 jjrry-go-round which is turning at a constant rate. The boy is near t0e v1x41jgjm phe 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 rotat6 ; iq3kxz xbd4nciq :rjzuv4u044r)z ing. Which of the following is an accurate statrc r3zu4ub46 4vqikx 4zjd0xzn;q:)i ement?

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 dependbleuqeq fwc 8* 1wikewh-006-s 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 for8 (ovhf+6c,yr er:s loce is applied at the midpoint of the door; the second force is applied at the doorknob. h,f6olr8(seyv+:rc oBoth forces are applied perpendicular to the door. Which force exerts the greater torque?

A. the first at the midpoint

B. the second at the doorknob

C. both exert equal non-zero torques

D. both exert zero torques

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12#

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Two equal forces are applied to a door at the doorknob. The first force .rbk:/ bad: hrpma, w2is applied perpendicular to the door; the second forceabb: pr:k/hm.a,2wdr 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.0 a.w *uqovz/o The first force is twice as large as the second force. The ratio of the 0 zauqovw o*/.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 r6a/1fjsdzjlx 3 i, q j*n-x067xmf thaesistance to changes in rotation?jx 01-t j ,xi*zjd67 /6xnmlff3sa qah

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 sazdqge5kan+xok/, bc2y1gn/az w 683gme diameter, but one has twice the mass of the other. The ratknqec aw2 x/b 8g1za+5g /dn6 ,gzko3yio 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, blda: c(zf x::xt99w6re lsgw6 oee: yf1h 28ukut one has twice the radius of the other. The ratio of the larger sphere's moment of inertia to that of the smaller sphere ilys:ffcx9: w h rk6:z19uw6dge eo a:(2le 8txs

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 thj22nmoi* (pcbe + g/mze mass and twice the diameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is+2n/ e* (zmpjmcob i2g

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18#

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A uniform solid sphere has mass M and radius R. If these are increased to 2qw7izh5 j(: p0pxs; knM and 3R, what happens to the sphere's moment of inertia about a central pjshw:i0 ;( nzq 7pk5xaxis?

A. increases by a factor of 6

B. increases by a factor of 12

C. increases by a factor of 18

D. increases by a factor of 54

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19#

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If a constant net torque is applied to an object, that,o bn;ldurm7c*mho )) 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 0.5 f;g iuicx0u3 m /*ff b/yvze:6MR2. Ifcgvby3mu ;xf/e/iu zfi:06f * this 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 1mpex:z 2o :ec,0 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kineti, ecp xm2e:zo:c 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 anz+;;nz7wj k csd radius R rolls without slipping down an inclined plane starting from ;z;+kzn jw s7crest. The linear velocity of the sphere at the bottom of the incline depends on

A. the mass of the sphere.

B. the radius of the sphere.

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

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

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23#

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Suppose a solid sphere of mass M and radius R rolls wit34vw y wi-9h oelyt9f9hout slipping down an inclined plane startin99w49h3vo lwf -t yeiyg from rest. The angular 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 slmbtm;,, o;/r2kj drfystem of particles changes when a net external force acts on the systemtroj,mmr;b ,;2f k/dl." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can the angular velocity a;+fefim-ee5c6 3uoncmn+*mqk8 4qyof system of particles change without any eo-kcc nefuq+q+5m;ay*3fmmi 4n6e8 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 ek/vuk/gei,0 an elliptical orbit. Ignore any friction which may be present. What happens over time to the Earth's angular momentum aboutk e/i0evu,/ gk 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 ellipticd7.osns:8duye *a8zfg ;7)xecztc ) sal orbit. As the Earth moves close to the Sun, then which of the following best describes the orbiting speed of thysad8 zs8)oc7:g. ;dus *xc7znt)eef e 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 spin25yqehzmv hqn)v/sbwt 3qh;x z:6ixj8 bs3- +) by pulling in his outstretched arms close to his body. What happens to his angular momentum about the axis o:3s vh ;y8nqmb2ev +-6qjxiwzxtq35bhz/s )h f rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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29#

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

An ice skater performs a pirouette (a fast spin) by pulling in hivkf cbxsml8 kop 1dsi99k*2pp:n b2;-s outstretched arms close to his body. What happens to his rotationk cbkd-n:vs8 1b;2 * s l2pp9pm9oxifkal kinetic energy about the axis of rotation?

A. It does not change.

B. It increases.

C. It decreases.

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

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30#

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

An ice skater performs a pirouette (a fast spin) by pulling in his outstre, l tg8 eyd+( /api;fb:lqoca1q0 bb-rtched arms cloi ;8 dc/ot qbbypl(,rga-+f q10a:b lese 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 conservatisngb(ywn),n b)* f nrh wing ;3yv .13kbx1mo1on of angular momentum.

该题自我估分: (必填) (满分:1.0分)

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32#

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What arc length does the Earth travel in a three month period in its nearly/qb3y f eq/l*h circular orbit about te 3yl/bfh/ *qqhe Sun with a radius of $1.5 \times 10^{11} \; m$?

A. $1.2 \times 10^{11} \; m$

B. $1.8 \times 10^{11} \; m$

C. $2.4 \times 10^{11} \; m$

D. $3.0 \times 10^{11} \; m$

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33#

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The second hand of a clock has a length of 0.30 m(;f 3k clv2 fu8sk0 b az*vmm5m2vfqr3. What distance does the tip of the second hand sweep through in 3 minutes an2fkms( fbv fa;mc 3v*k8lmvqu2rz30 5 d 45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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

How many rad/s is 25u g z.+bwit:ty2kwfvaj6a 666 revolutions 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 aups4;5p8s2zkkur; e9t6l gu.0 revolutions in 4.0 s. What is the frequency of the wheel's2gert 4ksl8p;puauk6 z;5s 9u 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 6,y ex2 afggi :pyb/q3ha 9wn g0:so9qfrequency of 0.40 kHz. Thee6 :f/w o p99,yh gs0q3a2yx angbqig: period of its rotation is

A. 2.5 ms.

B. 2.5 s.

C. 0.025 s.

D. 25 ms.

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37#

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A phonograph record rotates at 45 rpm. Thro4 y qj*3xd6cfmugh what angle does it turn in 0.20 s?y cdmf 6j*4qx3

A. $9.0^{\circ}$

B. $15^{\circ}$

C. $54^{\circ}$

D. $96^{\circ}$

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38#

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

A wheel of diameter 26 cm turns at 1500 rpm. How far will a point on the ou:mrvusu4 kq-7we7n a*ter rim move in 2.: uw47r-e a *7nuvmqks1 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 ndc0s+qyo6*v the average angus6y n+v0d coq*lar speed of the wheel?

A. 0.79 rad/s

B. 1.6 rad/s

C. 3.1 rad/s

D. 6.3 rad/s

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40#

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

A bicycle wheel rotates uniformly throughjawhjdm0f dvb q8k:/; 7, v,*yk.phrp 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10kj7jfphvha. , d/v:8; ywpr0k *bmd,q 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 distance of 6.8 km. The c u, 2e foxc+a4i5w/ajuable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rota5 u/e+ cf oj,24uixwaate 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 angular speed of 2.0 rac9fqx*1y3b95 nwfe +hfyd 2 zvl1t /yybz+h/ qd/s. What is the linear*q xy/ 1hcyfd+ yqvbb31th2 +yfz5 e/9nf9zlw 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-powered weed cutter is 0.16 m in length. h/5.mxgst2 cqp8: nnu If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of t5t/m8. sgxn2: pc unqhhe end of the cord?

A. 20 m/s

B. 25 m/s

C. 35 m/s

D. 65 m/s

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44#

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

A wheel of radius 1.0 m is rotating with a constant angular speed of 2:eukd*ejlib ;u 2* sn*.0 rad/s. What is the centripeta b*2 ju**e:u is;lnkdel 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 acdsf*owahlr8t83 rw99 celeration of a point on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is movingd83lwa*r98ts 9ow rhf 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 min(w2rozu1mahuu 6 * l;xute (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an a2rmz ; awuo*uhl6 (x1urtificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circulp 13*n-v+j v;ynvakhvar curve of radius 50 m with a speed of 20 m/s. The maximum cen+vvvnp h* -n ;y31akvjtripetal force (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

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

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

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

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

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48#

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

A car is negotiating a flat circular curve of radius 50c-kpp hvt8t vhz1o -fu -(-,qj m with a speed of 20 m/s. The maxiz, vq8 (vujf 1c-t o-thp-phk-mum 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 the end of a 0.750-m string, is whirled around in i h63:7ugb hj xxmh2gna2je0/yxl f*s :n26eta smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linj l22xh6f j he3 7y6e/0ua st2nix :g*hbg:mnxear 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#

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A bowling ball of mass 7.5 kg and radius 9.0 cm rolls without s41f , afgehna8lipping 10 m down a lane at 4.3 m, 4enfhfag18a/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 accele)snjt(wn9zq f.;si/ wration 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 +i p+i)nyvr p) hz;8a.0aywcqsf0z/e with a constant 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 radius automobile tire ro8pl0.4x y9l* kphqo cdtate after starting from rest anddq p08l *pl4 ycoh.xk9 accelerating 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)b/g otycwtt b7;j 1b/, and has an angular acceleration 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 decelerate-d2 uscvo sf98s with a constant angular acceleration ocs9 u2dso8 -vff $-5.0 \; rad/s^2$. 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 reac m 6hjc2+h4kjcm5/snqpk brl 9.5 h v-amefb/)hes an angular speed of 6.0 rad/s while turning through 2.0 revolutions. What is the average angular acceleration of fshka+m nh)m k-5m2 4 pv/jblc 9eqc6/5hrjb.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 qaj lxzqd1q;y gxfw szzj0:8/-4 ):ee over a distance of 115 ms )y-f g0x4;jzd1zeqqle::q8 j /xzwa. 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 vnii 8 f8h :0.1uyweie)smo5go+xp9wj / zcb;8.40 m/s to rest over a distance of 115 m. What is h.e9sc+ujp:1e0;o8n8)5f y igiw/ivbmoz x wthe 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 sloxt5qed s qoy e)4q;z-4ws down uniformly from 8.40 m/s to rest over a distance of 115 m. How long teeqq-qzx44;s)5ody does it take for the wheel to come to the stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at af pr;75gra ( d)y3eh 6djfxc0n rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a3rd xe6pj (rcfyg hn)5;f 7d0a 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 tightening to a torque of 90 Nm. xvbm.-s jvc4pta.*-0yp a2 dk If a 30 cm long wrench is used, what is the magnitude of t2 d4akm-*pjp-ty..savbc 0vxhe 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 va 4/ -1.u9k )1g,b,gcloqaedwa/a *ugd aogrof inertia $3.00 kgm^{2}$ 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 follows: mass m is at the origin, ma8dt+ ycz a4jm/(gr+t uss 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertiacu8 / +mygd4tzr at+(j 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 ir9cjr be6)k*kg is pivoted about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second ropb)6icejr* 9rk e 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 is p/ 6co zrywgj*srr0q-8 ivoted about a frictionless axis thought the center O. A z6go rcq j 0sryrw*-/8rope 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 one2gx qkwnrd1o.f,:i79bucu 8r end. The rod is initially held in the horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a ru 7x ic8uw,dor nkq29 .bg:1frod 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 to54eduxyzt +ik/e2h ;q be a ring of radius 30 cm and 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 szkix4 5ye h+u;t /q2ed, what linear speed does the wheel achieve, assuming it rolls without slipping?

A. 3.0 m/s

B. 5.9 m/s

C. 7.1 m/s

D. 24 m/s

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68#

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

A 1.53-kg mass hangs on a rope wrapped around a frictionless disk pulley17: ec9headpby gcfk7d0 * .vv of mass 7.07 kg and radius 66.0 cm. What is the angular acceleration of the pv 97dcv 7fyh*pk:edbce 1. g0aulley?

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 friction*ljktsv;* 6*i 8tmhf1 exa8zcless disk pulley of mass 7.07 k 8k; xe z*c v8tsjlaf**i1hm6tg 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 can6* vo* r5i bmy.x9xvbc be used to store energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inertia nc8x xk t 1dhkq5g774rof $5.00 \; kgm^{2}$ 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#

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A solid sphere of mass 1.0 kg and radius 0.010 m sya dih tkh5i +1gd0/5starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reachetsagiy+ ih 0d/d15h 5ks 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#

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A solid sphere of mass 1.0 kg and rad;l;qo.z c1 .hx+mf4ikrkkq. oius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb before comin.qok.qkif;h1 lc rz m;ok+.4 xg to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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A hoop of radius 0.50 m and a mass of 0.20 kg i:48tugik yb-3ie c*qvs released from rest and allowed to roll down an inclined plane. Howtby -kq:8u3gicv* 4ei 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 cx54dn fl 6jepa w;o6h/m rolls without slipping down a 35e incli5/je;fanpo4wl 6xh d 6ne that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere is given by $I = (2/5)MR^2$.
(a) Calculate the linear speed of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere at the bottom of the incline.
(c) Does the linear speed depend on the radius or mass of the sphere? Does the angular speed depend on the radius or mass of the sphere?

该题自我估分: (必填) (满分:1.0分)

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76#

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

An object's angular moum q,q0ehfkb,z / h+xa qbe80)mentum 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 ift k-c4ia m*puc1e *: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#

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

A figure skater rotating at 5.00 raep yzzp b4:psd-tn/m,e.x(hm/-d ip +d/s with arms extended has a moment of inertia b, x yp/pizd/n-em(p.m t-e+ d4z:hps 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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