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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 unit nkf f ,zokuh/8,c:,gts of

Correct Answer:    

Mark Problem
2#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular velocity is exp51sztgrf6 ur8,7g qk 1kgp) 2xscox4u,x nf0nressed in units of

Correct Answer:    

Mark Problem
3#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Angular acceleration is expressed in units oul8f/p+i5x xnf

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 constpt-(j7s adzk*qd x2.uant rate. The boy is near the outer edge, anz p 2j (7dqau*.-txksdd 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 conza8z brk((fb-l 1.krlkl1nd7stant rate. The boy is near the outer edge, k r11a8b-lzkzf(n 7l (krdb.land the 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 are riding on a merry-go-round which i (/*6zbumb/d+runjy/z*wmgg s turning at a constant rate. The boy is near the outer edge, and the girl iub6dg /m/*zug/(+ wr n*bmjy zs closer to the 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 f p220z:z17+.azos jugcfai yi (xl6w a constant rate. The boy is near thes fgjlii a+ 7 wuzp2 6oy2.:f(zcx10az outer edge, while the girl is closer to the center. Who has the greater 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 merryj,s3 x:fgf0f x-go-round which is 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 acceleratio :xfj 3sg0,ffxn?

Correct Answer:    

Mark Problem
9#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a rigid body that is rotating. Which ofk4gtdd a7 -yg9 the following is an accurate statemgk-d 9dt74g ayent?

Correct Answer:    

Mark Problem
10#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Rolling without slippin6bn :r(gryp0 rg depends on

Correct Answer:    

Mark Problem
11#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Two equal forces are applied to a door. The first force is applied at the midng q ;gtr2 ,lc,h n::ebku4.tupoint of the door; the second force is applied at the doorknob. Both forces are applied perpendicular to the door. Which force exerts the greater torquenkhgt :u.: ;c4,,lbtn 2qruge?

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 forceaacu h,xsdr*d7 ;ij7lvs* *)n is applied perpendicular to the door; the second force is apa);hsn d,cx*7vsl7j i* *daurplied 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 to the door sgagi;;zebcrg.9 a ;8. The first force is twice as large as the second force. The ratio oebz .gc8;g a9r i;g;saf the 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 o:qg5oih * ibah4 fma)c25hc3xbject's resistance to changes in rotatim2c qaioih5xb *4gfh3ca :)h 5on?

Correct Answer:    

Mark Problem
15#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform soc/3il8;dp b u 7z:cnjdlid spheres where both have the same diameter, but one has twice the mass of t;b7dd8 cij3 /zucnl:phe 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 has twice the radius of q sj/pokp)g3t 61h kt7the other. The ratio of the larger sphere's moment of inertia to that k s3ot7jt)61phg q/p kof the smaller sphere is

Correct Answer:    

Mark Problem
17#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider two uniform soli/ndg0ahtx 6 b)z) e:hzd spheres where one has twice the mass and twice the diameter of thzdbnhz:)a /xe6t0)hge 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 ( h9(jyqlsus )7f x+pqM and radius R. If these are increased to 2M and 3R, what happens to the spheu 9 shf7j() (qspl+yxqre'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, th 4e8nrxh(+8f9w az mjbat object will

Correct Answer:    

Mark Problem
20#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  The moment of inertia of a solid cylinded574dyea 5n4i7c1c ;b pdoyfer about its axis is given by 0.5 MR2. If this cylinder rolls without slipping, the ratio of its rotational kinetic enec71a7fcbd; ndye e d5p5ioy 44rgy 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 e0u ,:;iavs sfof which has a mass of 10 kg and a radius of 30 cm. What is the ratio of the rotational kinev ss,:0au;i fetic energy 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 anwd+jonq7g 5;o6o fl m(d radius R rolls without slipping down an inclined plane starting from rest. Thj;6 nfqlod( o5g7wom+e linear velocity of the sphere at 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 sphe.fefn 6rwi;lz37r f vuf645 vgre of mass M and radius R rolls without slipping down an inclined plane starting from rest. The angular velocity of the sphere at the bot7we6 f3nvvrl if6fuz5.f; r4gtom 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 changqquedr 6k8 c2hu:3 kx(es when a net external force acts on the system."6 qucuxheq2: r8k3d(k 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 b+d b14+zw;1yfohoei , hla1 rparticles change without anf1b1+4;br e,yho w+iazo hd1 ly change 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 whichh0c876eaplw;xhg3 v *n v3. kzzb e)hv may be present. What happens over time to the Earth's angula h z*v);7 lcnk e6e.v3hp0hzbwg8a 3vxr momentum about 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 ellipti n rqjsxv)zgl6 j1n/5lzyz4/(cal orbit. As the Earth moves close to the Sun, then which of the following best deqzls ) 51yz/4jl/ngjr (x6vnzscribes the orbiting 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 spib.fq6y; q 7wdgt b;,jfn) by pulling in his outstretched arms close to his body. What happens t. byqgb;w 6j;q d,ff7to his angular 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 fasfc9 iw 6npqy* 8sx+woa mw6:r)t spin) by pulling in his outstretched arms close to his body. What happens to his rotational kinetic energy about the axis of )9+rs*:w nc 8pymf ww6xqa6iorotation?

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 pullw*me3tv. ygh44spo2y ing in his outstretched arms close to his body. What happens to his moment of inertia about the axis wt .2ye*yvo4 4gsm 3phof rotation?

Correct Answer:    

Mark Problem
31#
 
Free-Response ( 1.0 marks) Whole-Paper View Save Problem  
State the law of conservation of3j ow7/,ul r/viboe0 i angular 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 month period in izv+2 j)n w-nduts nearly circular orbit about the Sun d-u jvz+)2wnn 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. What dqa3pv*oa jd 3ss8xd(r;1 tqo1istance does the tip of the second hand sweep through in 3 tqa8 o*;rso3xa(q sj 1dv3p1dminutes 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 to?2mdw2 xq2 69flg xmfr/

Correct Answer:    

Mark Problem
35#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly througzsk/aj, mmu2a;k g0yoi 27o3ph 2.0 revolutions in 4.0 s. What is the frequency of the wo/smz,ag22uo0ijpk7ak m3 ; y heel's rotation?

Correct Answer:    

Mark Problem
36#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A pulsar (a rotating neutrr22 a,wn l,ndwyl-s1r on star) emits pulses at a frequency of 0.40 kHz. The period of its rota 2llrw 2y1n, ,adwnr-stion 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 i5 v;0+iyx:kkp udfr,rt turn in 0.20 s?fpydxk ;,k0vrr:i+ u5

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 wi7ojg*2cwz6 i la hb-ko 6d,z(gll a point on the outer rim movj6c i o6*wga,z - gbzk2o7dlh(e in 2.1 s?

Correct Answer:    

Mark Problem
39#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly t8 zy t6hf,k/ekxbd (z/hrough 2.0 revolutions in 4.0 s. What is the average angular speed of /h86txkzf(/ eydz, kb the wheel?

Correct Answer:    

Mark Problem
40#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A bicycle wheel rotates uniformly througzd sl-cw+/7 myaqx00ih 2.0 revolutions in 4.0 s. What is the linear speed of a i+ds zl07a/cq0m yw -xpoint 0.10 m 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 caxn+4 tf4o1mm dcji7:rrries skiers a distance of 6.8 km. The cable which moves the car is driven by a pulley with diameter 3.0 m. Assuming no slippage, how faixcd1on4fj 4 m+:mrt7 st 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 isxmd8( /gya1f2jwlv fiy(1 w8 p rotating with a constant angular speed of 2.0 rad/s. What is the linear s(amwl8y yi2gf(j1w/1vxdf 8p peed 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-powrg.sq*q xp,8vered weed cutter is 0.16 m in length. If the motor rotates at the rate of 20 rev/s, what is the .xvq 8,*s gqprapproximate 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 spe rxtx4w1 97lf t+ksatu31 sv0h;yg6ried of 2.0 rad/s. Whalir6yk141 rx9u0t ; v7sw3ght+fa sxtt is the 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 point on the perimeta. htjvpsvt58 z p5v4opk((q4 er of a bicycle wheel of diameter kv((z sp 5j 8tvapt44vh5pq o.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 u67hq6i g(jw;)w;gtv ytq 8 veminute (rpm) must a circular, rotating space station (r = 1000 m) rotate to produce an artific6 j)8h( 6t;gu wvgivq qey;t7wial 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 radius 50 m with a speed of 20 m dem0r0qytt 1hk3jktn.0rwb8x v* u( 7/s. The maximum centripetal force (prdm0tbkwu0 v h8 e 3.*7tx(rtq0y 1knrjovided 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 circular vx;,g4dxveu,zmr/76rd g 8iy curve of radius 50 m with a speed of 20 m/s. The maximum centripetal force r/ve,x87zu , xdr gy4dimgv;6(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 aroundqxb;x;yt ;h t/)usmg2 in a smooth level table. If the maximum tension that the string can withstand is 250 N, then w xxtq sh;u)gy/ 2mbt;;hat 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 :eh5lp2sk :+dkugl ,jcm rolls without slipping 10 m down a ldk5s2:l u:pke+,hl g jane 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 accelfc.etgvyxz:6w- )r23y xx)rxeration 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 angular a,8 irvdk1d.s *ub6i39pv doyycceleration 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 afhyrkcio5 )kr9b0vq9b+k tgk-z v94 9-amk :ieter starting fromykmke:+a-)-kti9 v 9 r0g bho9rqc4bkkz95 vi 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 acceleration ol e7 luzkpry+5+31osfb7org 0f $4 \; rad/s^2$. 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 a*a xhoa c,op0t* k79k20 rad/s decelerates with a constant angular acceleration hopoc7,0kt x9a *aa*kof $-5.0 \; rad/s^2$. 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 rad/s while .+jvjd qh) nyt+a-3xb-g 5)uz zmz,hi u8sg7sturning through 2.n.zxydji-+s sz8 hg- + vgh,3 qbzmtu u75))aj0 revolutions. What 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 rest oco u +pkv0bq0( vt) r1u8la2jover a distance of 115 m. What is the total number of revolutions the wheel o0 )prub (1l+8jo0c2ukva vtqrotates 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 cmk7)z1 e(mim /gl j/zqvicj84m slows down uniformly from 8.40 m/s to rest over a distance of 115 m. What is the angular acceleration?zijkzi 7 l)( g/1 4mv/mmqe8jc

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 uniformly from 8.40 m/s to rest ovejl2.rmob)9sxnlm fd*89fv( qr a distance of 115 m. How long does it takellrfmj f8)bn 9o2sm*(vx q9 .d for 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 labo(s u8)h ffyc0 v2;dqeoratory rotates at a rotational speed of 3600 rev/min. When switched off, it rotates 50.0 times at a constant angular acceleration v)cqff28uysoh(e0;d 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 tightening to a torque of 90 Nm. If utl17n7 g(4i*y z5eisuue9k ua 30 cm long wrench is utz 1gs4 yni(ek79* u5uleiu7used, what is the magnitude of the force required 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 is6n g d1an b5hh--iwa;nertia $3.00 kgm^{2}$ 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 0 e19nli 84aznb;tmkcfollows: mass m is at the origin, mass 2m is at x = a, and, mass 3m is at x = 2a. What is the moment of inertia about the n1kte04a8 ml i bzn;c9origin?

Correct Answer:    

Mark Problem
64#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid cylinder of mu +yp h2db2; licd)9xdass 10 kg is pivoted about a frictionless axis thought the center O. A rope wrapped d+ xl2h)b9;cy p ud2idaround 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 imp5siw3na 9jo3 7a7yw6wdtf 0s pivoted about a frictionless axis thought the center O. A rope wrapped around ths739mw5ia a6on0 p 7wdtwyj3 fe 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?

Correct Answer:    

Mark Problem
66#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 4.00-m long rod is hingedn.cn3ify9a5njhpjo+z 4b, od1dk8jg( g26qn at one end. The rod is initially held in the horizontal position, and tj+n9gcnn oph1q4o2gjk(z. 5idyna3 8f bj,d 6hen released as the free end is allowed to fall. What is the angular acceleration as it is released? (The moment of inertia of a rod about one end is ML2/3.)

Correct Answer:    

Mark Problem
67#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  Consider a bicycle wheel rhlx3w1q a-sv.ojpdq92j * o(to 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 speed does the wheel achieve, assuming it rolls without ox3*q9-2ar lp ovw s (hjqd.j1slipping?

Correct Answer:    

Mark Problem
68#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A 1.53-kg mass hangs on a ro/ 4:mllkwu2f0l4ci qzpe wrapped around a frictionless disk pulley of mass 7.07 kg cm4uf4li0kl 2z:wlq/and radius 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 wrapp4e uqm ap;v7a*d5 km(ked around a frictionless disk pulley of mass 7.07 kg and radiusvadakm7 q(5ep4 *m ku; 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 store energy. If e.*3d9 br ulbw,hscx/8r0 nb lit 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 iner dog u70j ;pgzx02nux3h9-xos tia of $5.00 \; kgm^{2}$ starts from rest and accelerates under a constant torque of 3.00 Nm for 8.00 s. What is the wheel's rotational kinetic energy at the end of 8.00 s?

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Mark Problem
72#
 
Single-Choice ( 1.0 marks) Whole-Paper View Save Problem  
  A solid sphere of mass 1(bm nyc.,5ogn.0 kg and radius 0.010 m starts from rest and rolls without slipping down a 1.0-m high inclined plane. What is the speed of the sphere when it reaches t,ngc( b o5m.ynhe 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 radinm* :/j-dryqf 4jl:q 7qjy tf6zmf x5;us 0.010 m rolls with a speed of 10 m/s. How high up an incf y;4mnfl *yj-/jm7t:qdq qjx5f:6rzlined plane can it climb before 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 m and a mass of,;zn)c8l sku8vjm; la 0.20 kg is released from rest and allowed to roll down an inclined z,sl;8v)jl 8acun km; 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 anm(q;fhz r .ki3d radius 15 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 is give qmrf3kz(;h i.n 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 momenty jw myyewuh5 .5rl64,um changes by $20 \; kgm^{2}/s$ 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 g;:-96w j(olsi wzhblof 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 r +ctlre t2njkz1q1,m *l r2d4xad/s with arms extended has a moment of inertia oft,nlx 14kd z* e 2rjmqtc+1lr2
$2.25 \; kgm^{2}$. 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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