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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 expreyja;igj l g90h+,;myhss in units of

Correct Answer:    

Mark Problem
2#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular velocity is expressed in unitk d9h0s8ju(ldzd-stw8)f: zc s of

Correct Answer:    

Mark Problem
3#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular acceleration is expressed in units zvhamiyt: z;fg6.()y 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 merry-go-round which is turning at a coo hkf t2g-xr(bq56vq /nstant rate. The boy is nearr6-kq/o ( b5gft2x hvq 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 chjou/+ y sk3bv5qx6f+onstant rate. The boy is near the outer edge, and + uyq+6/kjo5hx3fvbsthe girl is closer to the 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 areqj .yx1:qp oi0 riding on a merry-go-round which is turning at a constant rate. The boy is near the outer edge, and the girl is closer to t:p.01 qq oyjxihe center. Who has the greater linear speed?

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 3u q(mx 8dbq.*ha3bk7 2 z47ikh+sjlqyakea ) a constant rate. The boy is near the outer edge, while the girl is closer to the center. Who has the greaiab8 qz()ja h3*4qas2eu3x b7k+k7ly. d qkhmter centripetal 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 y j6unv9jjo;05 n90*p qcr ckywhich is turning at a constant rate. The boy is near 6 *nuj 9py ;9jrncc0j vkyoq05the outer edge, while the girl is closer to the center. Who has the greater 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 following is an acc5gs fa gdix1goyepd97-9ihh 3nyg5b6.kkr 1/urate statemeaf/k1g.y h 9 9k gb57nore1- p6idih g35xsdygnt?

Correct Answer:    

Mark Problem
10#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Rolling without slipp5p5f9w3)q rf x7leyhq*p z)aming depends on

Correct Answer:    

Mark Problem
11#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are appv 8e;u 7hxmdiah/kvy;kj2 x: 8lied to a door. The first force is applied at the midpoint of the door; the second force is applied at ey/vmv x;88 7udxk 2h jaih:k;the doorknob. Both forces are applied perpendicular to the door. Which force exerts the 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. aep7.mg+s odzeeo(6 at the doorknob. The first force is applied perpendicular to the door pomg6ze7o +a d.e(.se; 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 applie,sgn,xw7b 0vh22tir hd to a doorknob, perpendicular to the door. The first force is twice as large as the second force. The ratio of tt ,,rx2vwh i0 bghs2n7he torque of the first to the torque of the second is

Correct Answer:    

Mark Problem
14#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What is the quantity used to measure an object's resistance to changes in rotwr 1tppcz s;48ation?r1z48; cstwpp

Correct Answer:    

Mark Problem
15#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform solid sphere fkfthz(vv),4y) zy 3us where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that o( 4)ztyvh vkfzfuy3),f 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 hashtrjd 8ch*)i hiwtjx )/s,1g, twice the radius of the other. The ratio of the lartdg )1,htwr )s/*h jxjihi8c,ger sphere's moment of inertia to that of the smaller sphere is

Correct Answer:    

Mark Problem
17#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform sdw3wbi g,a-bp la 903golid spheres where one has twice the mass and twice the diamet3a03w9-g ibgp wbl,ader of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia 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. If these are increased to 2y9.mje l3rd- t/j k;ipM and 3R, wjek-;3lt9 .ri/ jm dpyhat happens 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 objet3 o zvkrgregd-1**m*h z4)gr ct, that object will

Correct Answer:    

Mark Problem
20#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The moment of inertia of a solid cylinder abo cl b7 ++vpfzv7.)inele2l2afut its axis is given by 0.5 MR2. If 2zblv .f vp 7 le+cnf2e)ali7+this cylinder rolls without slipping, 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 4nx3emrat ,jc3wy) -y mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinetic enerte x3m4j-3,cw y a)rnygy of the wheels to the total translational kinetic energy of the bike? Assume 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 radius R rolls wi v** ukbfwb,sm)4xlq: thout slipping down an inclined plane starting from rest. The linear velocity of the sphere at the bottom o4mx kb vsu*w)fbl ,:q*f 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 without slipping do crg8zdzupm9 vf(90) bwn an inclined plane9vurdz9 8fpm 0czg)( b starting from rest. The angular velocity of the 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 -*cs1v( xwpw6d f fpo,1: t1thxuzpdrcb;-y *a system of particles changes when a net external force acts on the system." This sta-y x(xdr,:-futoc b*fp p*v 6wtch sdz111w;ptement is

Correct Answer:    

Mark Problem
25#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  In what circumstances can the angular velocity of systru o17o 5wvit5;zy 1jpem of particles change without any change in the system's angular tpw 5u7jzi5r1y 1;oovmomentum?

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 w 9 yfgh::8n:n(ajjdbohich may be present. What happens over time to the Earth's angular momentum about the Sufjon ahb y9: gjn8::d(n?

Correct Answer:    

Mark Problem
27#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The Earth moves about the Sun in an elliptical orbit. p4m6xu oabonk9 v3 t:oyx/c5/ As the Earth moves close to the Sun, then which of the following best describes the orbitinnyo5p6t /o4 u/3 bko9a xxvm:cg 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 punsy7+q: sys;f or di(ib 8p82klling in his outstretched arms close to his body. What happens to his angular momentum about the axis of rotapdyyiqs:+o7s2i( n k8sr bf 8;tion?

Correct Answer:    

Mark Problem
29#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  An ice skater performs a pirouette (a fast spfip5j d87mq* lin) by pulling in his outstretched arms close to his body.5lf iq 7j8d*mp What happens to his rotational kinetic energy about the axis of rotation?

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 his ou1a/jj*/biqy3a ;epfm tstretched arms close to his body. What happens to his moment of inertia about the a i*a1 jp3j/;fqb/myaexis of rotation?

Correct Answer:    

Mark Problem
31#
 
Free-Response ( 1.0 marks) Whole-Paper View Save Problem  
State the law of conserva2i,8cr1eco jd9vgr2l tion of angular momentum.
Correct Answer:    

Mark Problem
32#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  What arc length does the Earth t go ftybv7*8a7ravel in a three month period in its nearly circular orbit about the Sun with a radiu8ft *a7vg7byos 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 h67(kpf j1cj nsas a length of 0.30 m. What distance does the tip of the second hand sweep through in 3 minuts1cp 7(n6jkf jes and 45 seconds?

Correct Answer:    

Mark Problem
34#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many rad/s is 25 revolutions per minute equivalent 5st:4r* vg4*pc qsdn pto?

Correct Answer:    

Mark Problem
35#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly through 2.0 revolutions in 4.0 5* v 9 0pkeu8q3tzt8*a y p;wvdwvxc7es. What is the frequency of the wheel's rota* pdvvawp8*qt7wxuet3 kcvy5z8e0;9 tion?

Correct Answer:    

Mark Problem
36#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A pulsar (a rotating neutron star) emits pulses at a freq x22z9oxd: 3juw(uvv iwl6w 1nuency of 0.40 kHz. The period of its rov69xn 1lx:iuzu owdw322( vjwtation 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 m -xx n:5vstd)js0a5qin 0.20 5 xm5n vaxqsdjt-s:0)s?

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-lhtzz.;a7m s v5bvpx1 5nwi8 far will a point on the outer rim move in 2.1hisl mv pt1zv z;5 .5wbnx7-8a s?

Correct Answer:    

Mark Problem
39#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly through 2.0 revoluti7l2 id;zf01t*p4lwb4i.k c* xofsujq ons in 4.0 s. What is the average al;4q7s4z. 0i*obkw cu2ftflij x d1p*ngular speed of the wheel?

Correct Answer:    

Mark Problem
40#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly through 2.0 rev4gbp 3:xvrm6 w inr)w7-a *uwvolutions in 4.0 s. What is the linear speed of a point 0.10 m from the cent3-7rrv:w4uam *gpnw 6xvw i)ber 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 skiers a distance of 6.8 km. Theck//nv iizq+y4a,. r y,ui c8w cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how fast must the pulley rotate for the cable carw+, zki/cc qn r4,i. yi/yavu8 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.1inljizpr96 +nh1 ;6cbi mr d a constant angular speed of 2.0 rad/s. Whatz.ni il19nj m6i h;6+p1drcbr is the linear speed of a point on the wheel's rim?

Correct Answer:    

Mark Problem
43#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The cutting cord on a gas-powered weedalx*+a,l4e 0no umn , o3pvfq+ cutter is 0.16 m in length. If the motor rotates at the eoq3, *n lo p+xnum4 val+f,a0rate of 20 rev/s, what is the approximate linear speed of the 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 rotating with a constant angular spee )klsou4i f:4 eac*6stm p-)wab4,gbud of 2.0 rad/s. What is the centripetal acceleraa:gfl e tmku-bb4,4sswac)o*i 4p ) u6tion 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 +r- jjad7nvvcv(0, ag point on the perimeter of a bicycle wheel of dijn+vd 7- 0 j(gcarvva,ameter 70.0 cm when the 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 statq v( edgch:3pex5- /nr,g9cahion (r = 1000 m) rotate to produce an artificial gravitrgq dhve(ae9cgchx: ,5/ pn3 -y 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 radiust9 :eyggge ,jaw 2c3/a 50 m with a speed of 20 m/s. The maximum centripetal force :a3 egew,9 jc aygt2g/(provided by static friction) 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 d)+ j1qxoo0b qcircular curve of radius 50 m with a speed of 20 m/s. The maximum centripetal forc+q) 1bxdojq0oe (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 thb mxe,*z6tnuhm 0 z/c7u xqeqs7(:-sae end of a 0.750-m string, is whirled around in a smooth level table. If the maximum tension that the string can withstand iun :b m*z7xahzu/ts0-,cesx6 m7qq(e s 250 N, then what maximum linear speed can the mass have if the string is not 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 84tr*n vnnkm +10 m down a lane at 4.3m4nr+kn n* vt8 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 wit k+r1-e6gd*uqmk iiq9h a constant angular acceleration of $4.5 rad/s^2$. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?

Correct Answer:    

Mark Problem
52#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel accelerates ww3*ex d)w,kabx *ad5 q :r0stjith 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?

Correct Answer:    

Mark Problem
53#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  How many radians does a 0.300-m radius automobile tire rotate after sq0 jy 0spp / si0/zsiz*hr3tc1tarting from3 iprj ss /hz0pq0tyz s*10i/c rest and accelerating at a 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 acceleratv,m07nntt zv59zp.1/a nnc fdion of $4 \; rad/s^2$. 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 decelery,tf:z fcl +fd- o a9iocb/p.2ates with a constant angular acceleratiotfao f i+dpy2f/9,l c -.:czobn of $-5.0 \; rad/s^2$. 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 speed of 6.0 ), tw4scs.nj, p.lr0ri4sjxc0u c; scrad/s while turning through 2.0 revolutions. What is the average angular accelerati4sn0)ur,l4c.wt ,j sjrsic sc xc.; 0pon 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 f.ee ;)w fxkgg8rom 8.40 m/s to rest over a distance of 115 m. What is the total e f).ggkwe;x8 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 68.0 cgp8 ndrws/ yc9 6f4et 5,veu:bm slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acce64 urepd tvng5y s/:,ec f9b8wleration?

Correct Answer:    

Mark Problem
59#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel of diameter of 68.0 cm slows down uniformly4 oo*r5pwgi 3 lrnl6)*rx ec9b from 8.40 m/s to rest over a distance of 115 m. How long does it take foorbxle*i)c 4r pw3r5 *gl9n6or the wheel to come 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 rotates at a rotational speed of 360i;ie16qr066a hdfbv wq ma gxp7k2.a. ch /v.l0 rev/min. When switched off, it rotates 50.0 times at a constant angular accelerai;vwhx .2aqem.g0vd6k arh7bq plcf1/.66 a i tion 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 whe pkj;a5d;ku3o el require tightening to a torque of 90 Nm. If a 30 cm long wrench is used, what is the magnitude of the force required when the force applied at pj ;5 3;akkdou$53^{\circ}$ to the wrench?

Correct Answer:    

Mark Problem
62#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A wheel with moment of in l hp njdjlv+ g89j;i:7b4yx.bertia $3.00 kgm^{2}$ 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 iskj o. ;pjqb :vjw2;4ro at the origin, mass 2m is at x = ako.; po :jr42b;wqjj v, and, mass 3m is at 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 p+. (;hkiushse;bbri4 ivoted 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 downward. (See Fig. below) What is the angula;( i4+u.bbhses ;hkirr 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 pi2 8swxq*i 4miz0.bvmo voted 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 ri0x8i2w4m*z vbqos.m adius 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?

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 i-bi9ibiv+d rl q,d2 w,nitially 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 of2b 9 iiq,lw dvdr,-b+i 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 top9 /gyj1./qphl-k mbv 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 s, what linear s mpk-.j/hpb/9gyql1v peed does the wheel achieve, assuming 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 on a rope wrapped around8r:d6kb 6tbel a frictionless disk pulley of mass 7.07 kg and radiusrdte6:k b6b8 l 66.0 cm. What is the angular acceleration 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 around a frictionless disk pulley of hh xj6*kfo lw4i5r87emass 7.07 kg and radius 66.0 cm. What is the acceleratiox5ro746 jh*efk8 iwlhn 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 store energc ;e axw)nv3e-y. 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 617z( zq zfr4 by4w.f3: cublk7o fproof $5.00 \; kgm^{2}$ 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 from r em8mm6pu(n:w p0mg+zk-rz3 rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of rm3mze+gw(8u6rpp 0m :nkz-m 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 and radius 0.010 m rolls with a speed of 10 m/s. yyj /dz8 rjz 7kg).d;g How high up an inclined plane can it climb before coming to j j.rz8;z/y )y gdkgd7rest?

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Mark Problem
74#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A hoop of radius 0.50 m and a mass oo746j f8tispkd9 t:zdaxs6. pf 0.20 kg is released from rest and allowed to roll down an inclined plane. How fast is it moving7sd6ai.6pjd 8: tp tfz9 oksx4 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 q+nfdkv;)8,xxrn2 kn cm rolls without slipping down a 35e incline that is 7.0 m long. Assume it started from rest. The moment of inertia of a sphere ;nx8nk+)vq,n 2f rdkxis 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 by b.o9 br ble;1i/aof(m$20 \; kgm^{2}/s$ 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 moment of ineb.o(jk+ +,m fuq uhkdz0/jie+rtia 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/s with arms extoq9g;cxoh+ +uy:v4d:kda5 yeended has a moment of inertia o d q x+: +hv:uo54kydgceoy;9af
$2.25 \; kgm^{2}$. If the arms are pulled in so the moment of inertia decreases to $1.80 \; kgm^{2}$, what is the final angular speed?

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