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

1#

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Angular displacement is usually express in uzw 4,l jk)yx xqdqhe15rm).y/nits of

A. meters.

B. radians.

C. revolutions.

D. arcs.

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2#

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Angular velocity is expressed in unaeln3phc+rhrfu745c 9xm cz;3p, iz 5its 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 im jzza9*-iw65*s ildr;9 t hnps 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-round whicd8juka/o /: yqiyzey,6;dam0h 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 dis8 uy:j;6k dz 0y/maeyad/qo ,iplacement?

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 turnygt xjmtm lf6 v02+(-,epds1iing at a constant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater angular spee gdv+m ,t2pfe ijt 1msl6(x-y0d?

A. the boy

B. the girl

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

D. Both have zero angular velocity.

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6#

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A boy and a girl are riding on a merry-go-round which is turnin khpu 6d x:1/q5x2 ,gbu bg3osrb7 n:5ttj/vmrg at a constant rate. The boy ,tj7 gr ubt3o5nx:b5k/1qmg2dr :bp v 6xshu/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 4 z1 n66t-o u v1omdlwms/3jkdmerry-go-round which is turning at a constant rate. Theut41 oo w6klv /m-1dnj3smz6d boy is near the outer edge, while the girl is closer to the center. Who has the greater centripetal acceleration?

A. the boy

B. the girl

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

D. Both have zero centripetal acceleration.

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8#

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A boy and a girl are riding a merry-go-round which is)g7yp7tf)6poc zk gb + turning at a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater tangential acceleration?g)fp +7yz)7k 6otpb cg

A. the boy

B. the girl

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

D. Both have zero tangential acceleration.

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9#

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Consider a rigid body that is rotating. Which of the following is an accurb7mk.d 3ztr1fn/o yt* ate stzknoym *ttfb/r3d7 .1atement?

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 depenhty:7w6b 5hcp ds 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 forcej+9n x 2uym-x/gvr4q:l3a pal is applied at the midpoint of the door; the second force is applied atx amy 4v-3/j : x9rqgnl+lpu2a 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 d.)2 2k)jrnm.bi t y in;wu6bjfoorknob. The first force is applied perpendicular to the door; the second force is appliedj)t ;ikf2nm rw)u6yb..2 jbi n at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

A. the first applied perpendicular to the door

B. the second applied at an angle

C. both exert equal non-zero torques

D. both exert zero torques

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13#

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Two forces are applied to a doorknob, perpendicular to the door. The firstbosx id 2)5 jg7yc(pmn0hb6 h0 force is twice as large as the second force. The ratio of the torque of the first to the torque ohi(x pj5dsn0y)2 0 ocb hb6gm7f 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 a5 dzop36m c+jhn object's resistance to changes in rotationd3zp mjhoc65+?

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 )*80 mu iuswbzl z-rd3has twice z-um)zr3lwdus* b0i8 the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

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16#

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Two uniform solid spheres have the same mass, but one has twice the ru zd +cjwg5qz0 -e;hw7fzf tu4*uhj25adius of the other. The ratio of the larger sphere's moment of inerti zujjfeh -+q54d*hwcz wgt5z7f 0u2 u;a 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 and pv-:qpokr;+. , qpfrttwice the diameter of the other. The ratio of the larger moment of inetoq.;vk+f p-q p r,:rprtia to that of the smaller moment of inertia is

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18#

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A uniform solid sphere has mass M and radius R. If these are increased tozx(mt *e20amhne/7zbyf ,)ij)by 5 c e 2M and 3R, what ham2 7 f)ym /,5zeebbzhy(ci *a0tne )jxppens to 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 is appl3gwr+* . liad7r1 mok,b+ml opied 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 its6;zuy ng;qp 6h axis is given by 0.5 MR2. If this cylinder rolls without slippi6;q ;z yghpn6ung, 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/+ypwn 0or-yw c gf 0ezmit/-2 a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic energy of the wheels to the total translational kinetic energy of the bike? Assume themgizry0/f+2et p/ cowyw 0-n- 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 slipp+aa .x) ;qeyf bmd0n.hing down an inclined plane s.;amyanhd). bex+0 fqtarting from rest. 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 without slipping down an h9q 7ij8zk/cg40p ftvz (nd 9hinclined plane starting from rest. The angular velocity of the sphqzinzth8 g (0kvfj9h7c dp94/ere 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 m lwsf 7 q*k:z1s0c2nxhomentum of a system of particles changes when a net external for2xs 7s :cq1n0 zhfk*wlce acts on the system." This statement is

A. always true.

B. never true.

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

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

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25#

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In what circumstances can sl3f 1i ll5qj mp7n jw: bt1ta5tv-/:tthe angular velocity of system of particles change without any change in the system'1i jt3/ b-tml7 : jwt5l1tlfavq5sp:ns 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 any friction d .n n)gl3-dboxd+ng +sry(k 3which may be present. What happens over time to.gdsl dnd3xy3b-gonn) (+kr + the Earth's angular momentum about the Sun?

A. It continually increases.

B. It continually decreases.

C. It remains constant.

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

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27#

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The Earth moves about lax*;qg omwl403 j:pvi*dy4 1re;p pkthe Sun in an elliptical orbit. As the Earth moves close to the Sun, then which of the following kl*3;oj4pl0p w;m q4:edvigr y1p x *abest 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 inm- t*5bw:wqbo+vp 1p o his outstretched arms close to his body. What happens to his angular momentum about theo*tqbo +wpvbm wp:-15 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 pulling in his outst uotf0c/ 0oi0,bf 9vnhretched arms close to his body. What happens to his rotational kinetic energy about the axis of hv0otf/ o 90 cfbin,u0rotation?

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 piroue3 ldnp6gwsr1 ;tte (a fast spin) by pulling in his outstretched arms close to his bodyr;lws 1d p3n6g. 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#

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

State the law of conservation of angularlknz, /xpltv 6i 4i:0g 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 ne* t emw tq9; +o olsn:72/qppofmtx0-oarly circular orbit about the Sun with a ro:o+t0olqe*p-t m92w7n/qs;x pmtof adius 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 clo(pe*f+dqxhe 2ck has a length of 0.30 m. What distance does the tip of the second hand sweep through in 3 minutes and ee (+* pdxfh2q45 seconds?

A. $1.1 \; m$

B. $1.8 \; m$

C. $7.1 \; m$

D. $13 \; m$

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34#

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How many rad/s is 25 revolutions per minute equivalent to?rr993p ipjtp--d oawq 4;nlk(

A. 0.42 rad/s

B. 2.6 rad/s

C. 160 rad/s

D. 240 rad/s

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35#

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A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 s. Wh+al5-.2u wegmjctur4 q*.xcx at is the frequency of theu* r4+axecg . 2xlu5qtj-.w mc wheel's rotation?

A. $0.50 \; Hz$

B. $1.0 \; Hz$

C. $2.0 \; Hz$

D. $4.0 \; Hz$

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36#

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A pulsar (a rotating neutron star) emits pulses at a frequency of 0.40 kHz. ujua/5nx) lh 8se7 c)lto;q0 c The period of its rohao/ ;jselcnu 8x) 70u)tc5lqtation 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 turn8b0fu.5ad sc l in 0.20 slb5 sc u.fa0d8?

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 154grg;4wygyovo5w 1 6v 97k fex00 rpm. How far will a point on the outer riy 9o grgxwk51vvw4y6f o ;e7g4m move in 2.1 s?

A. $3.1 \; m$

B. $41 \; m$

C. $90 \; m$

D. $180 \; m$

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39#

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

A bicycle wheel rotates uniftoy: x1kb 4-c/4cslxa ormly through 2.0 revolutions in 4.0 s. What is the average angular speed of the whlox /sk1:ba-c xy t4c4eel?

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 throug ssfmrc4h luo9p)4w,;h 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m from the ce4,4scrlmh f);wupo9snter 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 6.8 km. The cable whrrl(u/))+rs d1gu nz vich moves the car is driven by a pulley with di+/rnsgz(1r u d)vlu) rameter 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:qxo tp6-owkyey 01 a(i bd;a) m is rotating with a constant angular speed of 2.0 rad/s. What is the linear speed of a poinoidt;0 :e ay b-)pxkyaw16 o(qt 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. I u3m a0jm17aqtf the motor rotates at the rate of 20 rev/s, what i73u0ja1a mmq ts 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 const2we 2fz7euyk91; eejd ant angular speed of 2.0 rad/s. What is the centripetal acceleration of a juf29ez1k;eed ey7w2 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 ponpsb ,4n1m mjj:tg0b,2 oms5+d c2cukint on the perimeter of a bicycle wheel of diameter 70.0 cm when the bike is tksogc+u c n2sbmb412d:0,jm jm5 n,p 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 ci. nkzkeb(ql 4fr)nuro9q,z5 , (djke0rcular, rotating space station (r = 1000 m) rotate to produce an artf.junqnke 5qkr9zz4 o (de)kb,0r,( lificial gravity of $9.80 \; m/s^2$?

A. $0.95 \; rpm$

B. $0.83 \; rpm$

C. $0.075 \; rpm$

D. $0.094 \; rpm$

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47#

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

A car is negotiating a flat circular curve of radius 50 m with a speed ofjyim/.*oao* w;h 3cwh 20 m/s. * y3ow*hajho /;w imc.The maximum 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 radius 50 mloiz/kf/saae+hr d,);w; 4h f ttzg7: with a speed of 20 m/s. The maximum centripetal force (provided by static friction))/o irat,;+ffe g;4l wah: /hzt7zdks 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, attacheda n1bn )*y0hn,.zm ech to the end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that* 0 )enh,.nm nbczh1ay the string can withstand is 250 N, then what 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 masa;dmix w 8,ae41hiha:z.p:uyvl2ou*a v k50a s 7.5 kg and radius 9.0 cm rolls without slipping 10 m down a lane at 4.3 m/s. 2;z:p.yukmd5wl ax*ah10o, evai8v4:u haia
(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 acc + wmq1ax +7 hbzyxr8b-u8l0kmeleration 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 constantt3;y 6hs -4 et8hd2o0apy kqua 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 rotagttg(8h8tq y ocbi d89,sq p/5te after starting from rest and accelerating at a constant angulpito9g8dhq8q (,c8 b/stg t5y ar 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 acceleim,bda8;nn4 pration 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 decrk3j;(c5hxpy rs;5f t elerates with a constant angular acceleratifsk5p5;htr cjxy3 r(;on 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 mlmuzp:rq wofb0 2.) 2rest and reaches an angular speed of 6.0 rad/s while turning through 2.0 requ0:2 w) mr2fbm.o lzpvolutions. 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 sloylm:g4 h li7 cmy*x3p aay* 3x-isi5-pws down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the total number of revolutions the wheel rotat mi5*yy34: pa*l- -cx3xi hsm7gyailpes 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 8.4 +6tkqrxob +i( .5ednv0 m/s to rest over a distance of 115 m. What is the angular acceleratio6ekb+n ( 5.qiorvd+tx n?

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 x .*srnwx, pv*1md6cz68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to come to the v.xd 1 s*rpnwx*,6mcz stop?

A. $24.7 \; s$

B. $27.4 \; s$

C. $42.7 \; s$

D. $47.2 \; s$

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60#

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

A centrifuge in a medical laboratory rotates at a rotational speed of 3600xd3:+ jb7(sx yiqjrb6 rev/min. When switched off, it rotates 50.0 times sbb+:ij j3(rxxy dq67 at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

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61#

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

The bolts on a car whe* 6eehb3ml w)kel require tightening to a torque of 90 Nm. If a 30 cm long wrench is usew36me)eb * lhkd, 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 inero +d4n,8xp brjtia $3.00 kgm^{2}$ 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, mass p ff. p8qhsc)pd+3 :;qvcg9wy2m 3 nel2m ismpp gw v qcec9nq) 8p+2:y.d33 flsh;f at x = 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 frictionless axis t0br.3w0k fj stgjp/ a4hought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 jprfw 3g 4/j bk.s0ta0N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N downward. (See Fig. below) What is the angular acceleration of the cylinder?

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

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

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

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

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65#

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

A solid cylinder of mass h;cfez wna7.ab0b-iwdb7gt.( /3 j oz10 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 rope wrapped around another section of radius R2 = 0.50 m exerts a;wonja.ba e 3.di w7 b7c(zf-b/zg0ht 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 th/ ip7xr5 o:sdfe horizontal position, and then released as the free end is allowed to fall. What is the angular acceleration as it is releaseddr/ :5xofip7 s? (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 to7nkm l5 erp/jo/0v2zj be a ring of radius 30 cm and mass 1.5 kg. Neglect the mass of the axle and sprocket. If a force ofe lj5r oz 2k7nm//pv0j 20 N is applied 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 ued rj z(fmbxdp6- 281wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angule-6dbmf d8pj1zur(2 x ar acceleration of the pulley?

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

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

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

D. zero

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69#

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

A 1.53-kg mass hangs on a rope wrapped a-z.hbw 37;o.unxz f oeround a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the acceleration of wh7z-; n .ufeoz3bxo. 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 storeqd ,gz03ez ps* d3( *lub7kohg energy. If it is required to store $1.00 \times 10^{6} \; J$ of energy when rotating at 400 rad/s, what is the moment of inertial of the wheel in $kgm^{2}$?

A. 6.25

B. 12.5

C. 25.0

D. 50.0

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71#

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

A wheel of moment of inertia of,n+c7cb1y n lj $5.00 \; kgm^{2}$ 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 *bj10w35ahr -v; )f ulrfeonom starts from rest and rolls without slippio u5ar*)l3 1boj-;wf hnrvf0 eng 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 m rolls with a speed ofr l9z yd,p l(p/lps,wo iz(*zz 1esp); 10 m/s. Ho s *l1z pd zy(zziolwppe;9 ,()lr,sp/w high up an inclined plane can it climb before coming to rest?

A. $0.071 \; m$

B. $0.71 \; m$

C. $7.1 \; m$

D. $71 \; m$

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74#

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

A hoop of radius 0.50 m and a mass of 0.20 kg is released from rest and allowed-z wuoa9b0drxt ext ict*3;0iy9 l j6/ to roll down an inclined plane. How fast is it moving after dropping a vertical distance of xtzy;buot3r0* 9/ di -l0 cjwte96x ia3.0 m?

A. 2.2 m/s

B. 3.8 m/s

C. 5.4 m/s

D. 7.7 m/s

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75#

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

A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping v8v*h a6gmqc v*iz 9d;down a 35e inclic*zi;vq*9vmdhg a 6v 8ne 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?

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76#

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An object's angular momentum changer, mnon3g;x/mo d;1czd60wag s 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 moonxi1 ,26;+hbgxzaj ph;2c39 ifskf rment of 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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Mark Problem

79#

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A figure skater rotating atlq*rc0y1k2z j 3i(djs 5.00 rad/s with arms extended has a moment of inertia o2l103 cz *sjiqyd rj(kf
$2.25 \; kgm^{2}$. 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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本Practice全部题目来源于https://webassign.org，学生可自助刷题练习，扫右侧二维码加微信，获取学习资料，答疑辅导
教师可以抽题组卷或一键复制他人试卷，布置为在线考试或在线作业，全自动判分成绩一键排序导出，省时省力

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