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PRACTICE:Physics Unit8: Rotational Motion



 Author: physicsPublish Date: 2022-12-13 12:30   Total Marks: 79 mks  Marks Awarded: _____________

User Name: No Login  Start Time: 22年07月27日 13:44  Switch to Whole-Paper Mode

Mark Problem
1#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular displacement is usually express in unizjab5x 6 +kvuw 6xa;ap293 kbots of

Correct Answer:    

Mark Problem
2#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular velocity is expreh vjjfpml: ,16er,m6fssed in units of

Correct Answer:    

Mark Problem
3#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular acceleration is expressed in unitma: *3ddr (yfms of

Correct Answer:    

Mark Problem
4#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merrhmiy ;r (s.w0yy-go-round which is turning at a constant rate. The b. ymsh ir;(0ywoy is near the outer edge, and the girl is closer to the center. Who has the greater angular displacement?

Correct Answer:    

Mark Problem
5#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merry-go-round which is turning at a constant, hhf 74yp+z0h ,y8 h :dbbu)ycs3qine rate. The boy is near the outer edge, and the girl is closer to the dph3 yfby)0i 7n,h:+ 8ehch,bsy4uqz center. Who has the greater angular speed?

Correct Answer:    

Mark Problem
6#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding on a merry-go-round which is turning at a cons6gw3hbm (y /rstant rate. The boy is near the outer edge, and the girl is closer to the center. Who has the greater linear speehbym g(s/r6w 3d?

Correct Answer:    

Mark Problem
7#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding a merry-go-round which is turning at a czl4gh0v,lt.pbs ve8346o yzyo 5- eiionstant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greater cent54v 6oisy0lh4o3,bz iy tgz8evpl. -eripetal acceleration?

Correct Answer:    

Mark Problem
8#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A boy and a girl are riding a merry-go-round which is turning at a constant b.e-kss- gk y)rate. The boy is near the outer edge, while the girl is closer to the center. Who has the gree) by-sksg k.-ater tangential acceleration?

Correct Answer:    

Mark Problem
9#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a rigid body that is rotating. Which of the followins8gr:b1;h 8gf4ka vo4tic 6nt g is an accurate staf 6 r8t8cbt:nva;k4h4 sgg1oi tement?

Correct Answer:    

Mark Problem
10#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Rolling without slipping depend( 9 :+qxwnleultr no97s on

Correct Answer:    

Mark Problem
11#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are applied to a doouy9,7 ei8 tay,i0ptg ur. The first force is applied at the midpoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts th8uypiua9,t0eg, yi7te greater torque?

Correct Answer:    

Mark Problem
12#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are applied to a door at the doorknob. The first force0uzy)zpo- 6gutj;/ mb is applied perpendicular touzb;om-t /06yg ) jupz the door; the second force is applied at $30^{\circ}$ to the plane of the door. Which force exerts the greater torque?

Correct Answer:    

Mark Problem
13#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two forces are applied to a doorknob, perpendicular un so2z*iu: 8sto the door. The first force is twice as large as the second force. The ratio of the torque of the first to the torque of the second sosuzu8*:2i nis

Correct Answer:    

Mark Problem
14#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What is the quantity used to measure an object'.;- wuzxe yl4xs resistance to changes in rotatiul .yxx z4ew-;on?

Correct Answer:    

Mark Problem
15#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform solid spheres where both have the same diamete3mh6/b;ohwct l mjb/4 r, but one has twi6 /mbmj;ot bl4hc3w/h ce the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is

Correct Answer:    

Mark Problem
16#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two uniform solid spheres have the same mass, but one hprw/+moyq 0o;y *r;imas twice the radius of the other. The ratio of the larger sphere's moment of inertia to thmwm o y+;ir0y qp/*;roat of the smaller sphere is

Correct Answer:    

Mark Problem
17#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform solid spheres where one has twice the mass and twice the di *u)1 cyvoki)a 1ls a)rd,wge)5jc8p gameter of the other. The ratio of the larger moment of inertia to that of the smaller moment of in v,l5iyeac*agk ) co1sjw)u)p1 gd r)8ertia is

Correct Answer:    

Mark Problem
18#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A uniform solid sphere has mass M and radius R. Ifmz u-haqz,b i53 vjdzb j:g41, these are increased to 2M and 3R, what happens,4j5-bb3ihdjz q,zvm zg1au: to the sphere's moment of inertia about a central axis?

Correct Answer:    

Mark Problem
19#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  If a constant net torque is applied to an object, that object w53;r xqtg2 pms g4d4dun :alv/ill

Correct Answer:    

Mark Problem
20#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The moment of inertia of a solid cylinder about its axis phec 2oj )d30yyvkt( ivi8*f, is given by 0.5 MR2. If this cylinder rolls without slipping, k2 ( dv)vt*80cif, ehyyo3pji the ratio of its rotational kinetic energy to its translational kinetic energy is

Correct Answer:    

Mark Problem
21#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a motorcycle of mass 150 kg, one wheel of which has a mass of y fn +:o u4h-*avrfl5lw o)pi: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? Assu w-+linfo rp*lo:54: uva)hyfme the wheels are uniform disks.

Correct Answer:    

Mark Problem
22#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Suppose a solid sphere of mass M and rad 9ikc5j 7.jxtq1 bwz4iius R rolls without slipping down an inclined plane starting from rest. The linear velocity of the sphere a5 .jix14 izwc ktj9bq7t the bottom of the incline depends on

Correct Answer:    

Mark Problem
23#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Suppose a solid sphere of mass M and radius R rolls+k mu b*,xr322 nyruts without slipping down an inclined plane starting from rest. The angular velocity of the* ktmnb2yux r +s23,ru sphere at the bottom of the incline depends on

Correct Answer:    

Mark Problem
24#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  "The total angular momentum of a system of particles changes when a q;vyy ct5 2b9cnet external force actsvc ctyqb ;925y on the system." This statement is

Correct Answer:    

Mark Problem
25#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  In what circumstances can the angular velocity of system of particlesl9-3ja+fzehurm3 1sl change without any change zu+l-r1j9l f emha3s3 in the system's angular momentum?

Correct Answer:    

Mark Problem
26#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The Earth orbits the Sun in an elliptical orbit. Ignore any friction which mayc 5tk1 .hzu:ugpefkemo) y92,qnj*:w be present. What happens over time to the Earth's angular momentum abu. mwpo,)qy29j:gz5:tn e1h k*ucke fout the Sun?

Correct Answer:    

Mark Problem
27#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The Earth moves about the Sun in an elliptical orbm 1pc6dav 9zquhqv317/ q0+8ngq s norit. As the Earth moves close to the Sun, then which of the following best describes the orb+s8pnc 9qu/a r1q z6m7gndqv01v 3hoqiting speed of the Earth about the Sun?

Correct Answer:    

Mark Problem
28#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouette (a fast spin) by pulling in his outstretchk f3e uj 2836i rt1gfw4w2xbmhed arms close to his body. What happens to his angfjxtehrw 3 1w8 3624 gimbku2fular momentum about the axis of rotation?

Correct Answer:    

Mark Problem
29#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouette (a fast spin) by pulling in his outstrqk n1m+8.swr gt6ue;5 eta 7gtetched arms close to his body. What happens to his rotational kinetic energy about the axis of rotatioae+rw6 gtesugmk;t8 . 7nt51qn?

Correct Answer:    

Mark Problem
30#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouette (a fast spin) by pulling in hisskbdzmuum(v6ba5 )q:g9e )4z outstretched arms closm zd9 :eb)a5g(umqvz6bus)k4e to his body. What happens to his moment of inertia about the axis of rotation?

Correct Answer:    

Mark Problem
31#
 
Free-Response ( 1.0 marks) Whole-Paper View Save Problem  
State the law of conservation of kvs3z5+efg i7l:qf c 6,sg2gsangular momentum.
Correct Answer:    

Mark Problem
32#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What arc length does the Earth travel in a three mo7ew/rr of o21onth period in its nearly circulaf r/e2wr71ooo r orbit about the Sun with a radius of $1.5 \times 10^{11} \; m$?

Correct Answer:    

Mark Problem
33#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The second hand of a clock has a length of 0.30 m. zz+d8e 1ojkv5p rrd-pyj4. )js4 h8ts What distance does the tip of the secoed-v8pzys .hpd4r 18 )kr+j zt45jsjo nd hand sweep through in 3 minutes and 45 seconds?

Correct Answer:    

Mark Problem
34#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many rad/s is 25 revtc;gjmdw (nb; x+-g0;f(wru j 5v *zovolutions per minute equivalent to?

Correct Answer:    

Mark Problem
35#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates unim;) tv8if8 tpb// 7ywr 5zsgnuq1;uaiformly through 2.0 revolutions in 4.0 s. What is the frequency o/qwbv;pmi8ui7) z;ng1auy5f8s ttr / f the wheel's rotation?

Correct Answer:    

Mark Problem
36#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A pulsar (a rotating neutron star) emits pulsesh *k345;yo8/ru pa*wdbba bln at a frequency of 0.40 kHz. The period of its rotb u5y3kab4 /* wpoda8 n;blr*hation is

Correct Answer:    

Mark Problem
37#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A phonograph record rotates at 45 rpm. Through what angle does it turn ,da5v1zmp v oos qe;d6p1ju, 8in 0.20 s?duso6v; zeo,p1mq8jp, 15 a vd

Correct Answer:    

Mark Problem
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 the4teqt xp-r4+ y outer rim move in 2.1 s?px4e-rttqy 4+

Correct Answer:    

Mark Problem
39#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotatesq 79f:bi-jmf( j:sznb+ ojl*t uniformly through 2.0 revolutions in 4.0 s. What is the average angular speed of the whef j9+sib :l tzqm7f :jjn(b-o*el?

Correct Answer:    

Mark Problem
40#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates :8n)i4bl fgs;jk+z sd uniformly through 2.0 revolutions in 4.0 s. What is the linear speed of a point 0.10 m lfis:8jzs+g4d nk);b from the center of the wheel?

Correct Answer:    

Mark Problem
41#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A cable car at a ski resort carries sb,6k 7fpd;cg :h 7nuszkiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Asn ;z b677ushd,gk: fpcsuming no slippage, how fast must the pulley rotate for the cable car to make the trip in 12 minutes?

Correct Answer:    

Mark Problem
42#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of radius 1.0 m is rotating with a .8bbx-fn fvt1a(e n(q constant angular speed of 2.0 rad/s. What is the linear speed of a point on the wheel's rim .1t -x f(qb8ebv(afnn?

Correct Answer:    

Mark Problem
43#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The cutting cord on a gas-powerrubrswp3;r0 ao/ +j/ged weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the approximate linear speed of th /+ rropu0aj;3gbsw/re end of the cord?

Correct Answer:    

Mark Problem
44#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of radius 1.0 m is rotati )qu9-)zfsh x;* /3bwkzcwubeng with a constant angular speed of 2.0 rad/s. What is thbf 9u 3;b)*ucw qwzxseh-z/k )e centripetal acceleration of a point on the wheel's rim?

Correct Answer:    

Mark Problem
45#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What is the centripetal acceleration of a pb7w(w kt4 a,w5ltjz b2oint on the perimeter of a bicycle wheel of diameter 70.0 cm when th,5w4waw(b l7z2 bkjtte bike is moving 8.00 m/s?

Correct Answer:    

Mark Problem
46#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many revolutions per minute (rpm) must a circular, rotating space h7i ,7vuhbj hqv )maynsq(8 0(station (r = 10myb(ha)j0 i7(h7quv q,8nsh v00 m) rotate to produce an artificial gravity of $9.80 \; m/s^2$?

Correct Answer:    

Mark Problem
47#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A car is negotiating a flat circular curve of ra n9(xrx:rpotky;5 4xv dius 50 m with a speed of 20 m/s. The maximum centripetal force (provided by static friction(4yn r xxtrkx:;5 o9vp) is $1.2 \times 10^{4} \; N$. What is the centripetal acceleration of the car?

Correct Answer:    

Mark Problem
48#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A car is negotiating a flat circular curve of radius 50 m with a sp y1pijyg-ctk m7;xiu8.pt2s5eed of 20 m/s. The maximum centripetal forcgk 2jipx8-t y 51;ustpm .ic7ye (provided by static friction) is $1.2 \times 10^{4} \; N$. What is the mass of the car?

Correct Answer:    

Mark Problem
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 in1;tk4r( +*c .m nbhzl f4ewdhb17x wpt a smooth level table. If the maximum tension that the string can withstand is 250 N, then what maximum linear speed can the mass have if the string is nold tf7bhrp1emhn.*41ctw + 4;w(kb xz t to break?

Correct Answer:    

Mark Problem
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 slipping 10 m don zm8t6. 58:e ku)i,tdwphr l*fdf 6riwn a ledn 6 rti.k*8ft 8m)zi 6p5hwf, :rlduane 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)

Correct Answer:    

Mark Problem
51#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel accelerates with a constant angular acceler,x,uoou04 tnration 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?

Correct Answer:    

Mark Problem
52#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel accelerates with a constant anhqmf (9q-.od ugular 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?

Correct Answer:    

Mark Problem
53#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many radians does a 0.300-m radius automobil fl7:mtpis i li-j(/v-e tire rotate after starting from rest and accelerating at a : (j-7/f- viplisitlm constant angular acceleration of $2.00 \; rad/s^2$ over a 5.00-s interval?

Correct Answer:    

Mark Problem
54#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel starts at rest, and has an angular acceleration of rr7ko.woqc 6-$4 \; rad/s^2$. Through what angle does it turn in 3.0 s?

Correct Answer:    

Mark Problem
55#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A Ferris wheel rotating at 20 rad/s dec 3(jibp eg00puc;ef givje1i.6g m4d9elerates with a constant angular acceleration of 9v p gu3iei0 ;fcdgb .m1e06gpjjie(4$-5.0 \; rad/s^2$. How many revolutions does it rotate before coming to rest?

Correct Answer:    

Mark Problem
56#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel starts from rest and reaches an angular splq+ ri/k;s k :3z-*jhc/dtah peed of 6.0 rad/s while turning through 2.0 revolutions. Wc:dp- ah/st ;/ hilkz+qjrk3*hat is the average angular acceleration of the wheel?

Correct Answer:    

Mark Problem
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 reof6o x ko00w-ej v3m lexz;q:5st over a distanc5o;o q-0036j:ex lovkwm fzxee of 115 m. What is the total number of revolutions the wheel rotates in coming to rest?

Correct Answer:    

Mark Problem
58#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of )4f; xn euu2,yddidh;68.0 cm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angulaxy ;;i n)uud2,hdfd 4er acceleration?

Correct Answer:    

Mark Problem
59#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slows90n 0eq2kf js h;5so6sr5ylxx down uniformly from 8.40 m/s to rest over a distance of 115 m. How long does it take for the wheel to comesk90 5ly2x;f seor05sxqhjn 6 to the stop?

Correct Answer:    

Mark Problem
60#
 
Fill-in-Blank ( 1.0 marks) Whole-Paper View Save Problem  
  A centrifuge in a medical laboratory r*owu,-jn4yofh cep u*7* tavn ;,;zzl otates at a rotational speed of 3600 rev/min.cal**eonhoztynj;u;,w 7 -4*vu fp z, When switched off, it rotates 50.0 times at a constant angular acceleration before coming to rest.
(a) Determine the initial angular speed of the centrifuge.    $rad/s$
(b) Determine the angle (in radians) through which the centrifuge rotates before coming to rest.    $rad$
(c) Calculate the constant angular acceleration of the centrifuge.    $rad/s^2$
(d) Calculate the time necessary for the centrifuge to come to rest.    $s$

Correct Answer:    

Mark Problem
61#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The bolts on a car wheel require tightenin:fn ifyi nlw26f5s(t3 g to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force requir2 tisw l5(if3ffyn n6:ed when the force applied at $53^{\circ}$ to the wrench?

Correct Answer:    

Mark Problem
62#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel with moment of inefu, wmhk,f8-mo u7o5mrtia $3.00 kgm^{2}$ has a net torque of 3.50 Nm applied to it. What angular acceleration does it experience?

Correct Answer:    

Mark Problem
63#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A triatomic molecule is modeled as follows: mass m is at the origi v43if)- e/ajtat+ k f8xm.uqzn, mass 2m is at x = a, and, mass 3m is at x uiaetzjft3qv .m8 fak+/4)-x = 2a. What is the moment of inertia about the origin?

Correct Answer:    

Mark Problem
64#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid cylinder of mass 10 kg is pivoted about a frictionless axis tho6 7ors6 r8g *rotuhgu3 yr/dd:ught the ctdrug 7r8o6*yoh s/d:ru36 grenter 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. (See Fig. below) What is the angular acceleration of the cylinder?


Correct Answer:    

Mark Problem
65#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid cylinder of mass 10 kg is pivot2mr pik 7u:it8ed about a frictionless axis thought the center O. A rope wrapped around the outer radius R1 = 1.0 m, exerts a force F1 = 5.0 N to the right. A second rope wrapped around another section of radius R2 = 0.50 m exerts a force F2 = 6.0 N:ik rt78ip2um downward. How many radians does the cylinder rotate through in the first 5.0 seconds, if it starts from rest?

Correct Answer:    

Mark Problem
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 0-of mv6ag9jqza9hr6horizontal position, and then released as the free end a- 9zm9h6 agr 0qv6fojis 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.)

Correct Answer:    

Mark Problem
67#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a bicycle wheel to be a rc:d s.1qxq4wt ) - eej eiksoqk0*8vy(ing 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 s, what linear speed does the wheel achieve, assum 0 t1xesqscy)8k wedk:(* e4q.o-ij qving it rolls without slipping?

Correct Answer:    

Mark Problem
68#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 1.53-kg mass hangs gs 8i-xqv vd n*c*22oson a rope wrapped around a frictionless disk pulley of mass 7.07 kg and radius 66.0 cm. What is the angular accele*2dx8 nivq-2 s*gsco vration of the pulley?

Correct Answer:    

Mark Problem
69#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 1.53-kg mass hangs on a rope wrapped arwma(3+j q:ebiww 8 ;eeound a frictionless disk pulley of mass 7.07 we +i:wawm;qej38e (b kg and radius 66.0 cm. What is the acceleration of the mass?

Correct Answer:    

Mark Problem
70#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A rotating flywheel can be used to stor 8k/ rtj auteuwy2)w7;f,h0jy e 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 $kgm^{2}$?

Correct Answer:    

Mark Problem
71#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of moment of inertia of,y 3 5f/i gjajkhofz*9 $5.00 \; kgm^{2}$ 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?

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Mark Problem
72#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid sphere of mass 1.0 kg and radius 0.010 m starts ;gyp2n(unoq73:csj pe yu-6 pfrom rest and rolls without slipping down a 1.0-m high inclined plan2: pq; n36pyjno( 7spyegcu -ue. What is the speed of the sphere when it reaches the bottom of the inclined plane?

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Mark Problem
73#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid sphere of mass 1.0 kg t u9d:79zv8 nxn( dvfland radius 0.010 m rolls with a speed of 10 m/s. How high up an inclined plane can it climb beforezxnudlv8dn(97t9f :v coming to rest?

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Mark Problem
74#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A hoop of radius 0.50 y5p( tzx782ie 45;ellpr e hrom and a mass of 0.20 kg is released from rest and allowed to roll down p2 otihre(z5yl58;rp4x 7 e elan inclined plane. How fast is it moving after dropping a vertical distance of 3.0 m?

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Mark Problem
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 down a a8;q 9l5im xv51vqi jq35e incline that is 7.0 m long. Assume it start mq95v5aqil1v;ijx q8ed 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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Mark Problem
76#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An object's angular momentum changes byc nx20 8.cyb6cml;f ivgz+* 3tc5nvon $20 \; kgm^{2}/s$ in 4.0 s. What magnitude average torque acted on this object?

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Mark Problem
77#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A proton of mass $1.67 \times 10^{-27} \; kg$ rotates with an angular speed of 2 x 106 rad/s in a circle of radius 0.80 m in a cyclotron. What is the orbital angular momentum of the proton?

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Mark Problem
78#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater has a mjtyl9yg bcdtw1y (o 8+9z.qt5oment 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?

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Mark Problem
79#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A figure skater rotating at 5.00 rad)r sx+cl1g*hzb- w *k 6iq+caz/s with arms extended has a moment of inertia ) -sa*qzbkczh+g*w61r lic+x 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?

Correct Answer:    

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