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Unformatted text preview: h / Jrf 5/30/07
6; é. ea? 9 PROBLEM 15.13 in Problem 15.12, determine the velocity and acceleration
of comer B, assuming that the angular veiocity is 9 radls
and increases a: the rate of 45 radIS". / 205 mm PROBLEM 15.12 The bent rod ABCDE rotatols obcaut a
ﬁne joining Points A and E with a constant angular velocity
of 9 radfs. Knowing that the rotation is clockwise lag viewed from 19“, determine the veiocity and acoeforalion of fume: C, l
minim 350%) n.9, \fi‘QwM—>4}“Ww Me i: 1513 mm jLJLﬁ girls 9? {5‘4"DL'i7fM €[xlm/p( £0. T . h 460 mm A 1% A A fix/F :—,L{mi+lqmi +.Zm \ A. A A
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PROBLEM 15.34 b
A simpic friction drive consists of two disks A and Biinitialiy,
disk A has a clockwise anguiar velocity of 560 rpm‘and disk B
is at rest. it is known that: disk A wiii coast to restin 60 3.
However, rather than waiting until both disks are at rest to bring
them together; disk 8 is given a constant angular acCclcration
of 2.5 malls2 counterclockwise. Determine (a) at what'itimc the
disks can be brought together if they are not to siip, (b) the
angular velocity ofcach disk as contact is made. c) For Miicarmla CLCCQiE’a/‘idgg, (diachm' 0:7cq, \ «not
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v PROBLEM'1536” In a‘centinuous‘ printing process, paper is drawn into the
presses at a constant speed v. Denoting by r the radius of
the paper‘roli‘arany given time and by}; the thickness of
the paper, derive ‘aztexpression for the angular acceieracion
of {he paper roli. LODKKUE .Crm M 52:13) “HLL, Circle. 04" +LQ
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ibROBLEM 15.33 I The motion of rod AB is guided by pins: attached at A and B, which
siide in the slats shown. At the instant shown, 6' = 40" and the din
at 3 moves upward to the left with a Constant velocity‘of 6 injs;
Determine (a) the angular velocity at" the rod, (3;) the 328106in of
the pin at end A. I ‘ C\ J m <\
x, A
A ‘ '
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V55 : a j,  élﬁiLmg‘i 1 50(—40wmj) — q} [Hfrgzmh :0 : 0 — H8'5‘5m~ w WLO Vvi ~ 42?}; M V/I/a‘l’ 7’3 6:6 ! PROBLEM 15.57 In the engine syaztem Shawn, 1:160 mm and 11:60 mm. Knowing that the
crank AB rotates with a constant angular velocity of 1800 rpm deckwise, deienninc the velocity of the piston P and the angular velocin of the connecting
rod when {a} 8 w 0. (b) 6 = 90“, K
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4 3+0 15.82 Knowing that at the instant ‘Ishown the angular velocity of rod AB
is 15 rad/s cloc‘kwise, determine (a) the angular velocity of rod 319, ‘
(b) the velocity of the midpoint of rod BI);  M: gimme— VW \me 3,? M/s I wee : 3.? "/5 6158'” 371 V/Z/M 1/?“
_ :PROBLEM15.87 ; Wee? Kn‘oivihg‘ that at the inswnt éhbxvn the velocity‘or collar D is 1.6 ‘m/s
upward, determine (a) the angular velocity‘of ‘md‘ziD, (fame veiocity hf min: B," (c) the veibcity of Point A. \ B ' ' ' ‘ ‘
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PROBLEM 15.105 A BOO~mm rod rests an a horizontai table. A forciel’fapplied as
shown produces the foilewing accetemﬁonsz 3/, 23.611113; to
the right, a=6 rad/’52 c0un£ércloc.kwis¢;gaé viewed ﬁfbm‘abovc.
Determine the acceleration (a) 0f Point G; (b) of Point 13. H “Vi/0? ‘er e48,
PROBLEM 15.107 ‘ A IOﬂ steel beam is lowered by'méans of two Babies unwinding at the
same speed from overhead cranes; As‘thg: beam’appmaches the ground,
the crane operators appiy brakes to stew down the unwinding motion.
At the instant considered, the deceleration cf the cable attached at A is
32 ﬁfs‘ whiic that of the cabin: attached at 8 is 5 Ms‘ betermine (a) the
angular accctcration of the beam, (5) the acceleration of Point C. 4‘ k
, @Ph _ *1 PROBLEM 15.117 ’L The 150mm~ratiius drum r0113 witheut siipping on a beil that
moves to the ieft with a constant velocity of 300 mmfs. At an.
instant when the voice:in and acceleration oi‘the center .13 of Ihe
drum are as shown, determine the accelerations of Points A, B,
and C of the drum. l 1‘ a My} *5 I m x ‘h _
Va ‘ ’BOOM—f A 1' V45" L/D. *VMUKQM
A
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PROBLEM 15.12% a "Q 4 Knowing that at the instant shown rod AB has zero angular
acceleraﬁon and an anguiar velocity of 15 rad/s comiterclockwise,
determine (a) the angular acceleration of arm [312“ (b) the
acceleration of Point D. 40
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PROBLEM ‘15.“38‘)r 7 by + v A wheel of radius r rolls.without'slippingalong the inside of a fixed
cylinder of radius R with a coﬁstant angular velocity 0). Denotingby P
the point of the wheel in contact with the cylinder at ' 2&0, derive
expressions far thehcrizomal and'vertica! components ofthe veiocity
of P at any time t. (The curve described by i’oint P isa hypocycioid.) bﬂﬁ‘mt 6 75
0.3 Showvﬁ 59w: w‘ugAs Pa“ wii’hopck Skyrhna J "HIM; arc, 0C, (5 6644‘ \Lo we, fC, ’H/wu : qu f3 (3 R4—
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 Summer '08
 Matthews
 Dynamics

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