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Unformatted text preview: ES 2120' Exam 3 April 19, 2010 Name; 30L. UWQWJ 1) Short answer questions 5point each. a) Indicate on the figure the position of the instantaneous center of zero velocity for link
AB assuming the wheel rolls without slipping. 0) ”\ \W mow b) A motor gives disk A an angular acceleration of OLA = (0.6 t2 + 0.75) rad/$2, , mwﬁ reefs
where t is in seconds. if the initial angular velocity of the disk is 030 = 6 rad/s, determine the magnitude of the velocity B when 2‘: 2st QC; éwywéﬁ w Mfg? [04.61% ”a
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C) D W: aim 2:: “1.8%“9/{5 WQ$W%W“$ ﬁslﬂm'gqgﬁ>zz 340133) m/{S cl; c) A 12lb uniform plate is supported by a pin at A.
Determine the mass moment of inertia about point A. IQ; T: :%%x git‘zﬂ’lf't (617% b1)
~25: Vt“; («lay/35$?»Xzﬁgy‘é“ it???) I 45 , 63) ngg g. éﬁgw I“? 16, s» Md 2 2:» lama?” ‘sztéalgi m 2.85% QLW M Wmcw.mwmm 15 points ES 2120 Exam 3 April 19, 2010 d) The center 0 of the wheel is moving with a speed of V0 = 6 m/s, determine the
velocity of point A on the wheel. The gear rack B is fixed. «WWWWWWHWMMWm e) For a short period of time, the motor turns gear A with  {.225 mm 
constant angular acceleration of ocA =4.5 rad/$2, starting 7mm 7 «I 2) mm
from rest. Determine the velocity of the cylinder and the “A
distance it travels in 3 seconds. The cord is wrapped
around pulley D which is rigidly attached to gear B. OJ": at}; «t» (ﬁ‘lﬁ: E? 55 aﬁéfzéfiy My”? )3. 3 em 8. ﬁt a +2: it?” x
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it: 10 points ES 2120 Exam 3 2) The hydraulic cylinder D extends with a velocity of V3 = 4 ft/s and
a3 = 1.5 ft/sz. Determine the angular velocity and acceleration of
acceleration of piston A. April 19, 2010 an acceleration of
link AC and the Answers: (DAC 2 3w aﬁg aﬂgﬁ‘; Q 23;; :3 4‘? $255.24 OlAc = 3%5" gnﬁ Q a}; at": 1.512;} 8A = \30%% $4782“ W \iccm WM AMRLW‘a egg; 3,
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<3 2:2» ...~ 4’ «a» mm cm i Wm 2 ‘ “film” 2"“fs page: Maigret tit”V‘th ti _ E’V’Ajélg 0%]: :2 L6: +C>L>th2r2rr ﬁifjf wWXKza‘waﬁﬁgmmmﬁﬁy “(2’ “if: @3325? E2, gag 3Q}? « Z $Ln 3031 (M x has" «legal: +~iﬁi>x$©l£ w We“: + 5%?
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:32, o z: W «in lama. +5.23% 25 points ES 2120 Exam 2 March 8, 2010 3) A SO—lb slender rod AB is 5 ft long and is pivoted about point 0 which is 1 ft from end B.
' End A is pressed against a spring of constant k = 1800 lb/in until the spring is
compressed 1 in. At this point, the rod is horizontal. if the rod is released from this position, determine the angular velocity of rod AB as the rod passes through a vertical
position. Answers: (X): 30% RMJS td«<¢€m4v‘y”ﬂ y H ‘ I V a Note: WQKKL 1M “new”
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ﬁr 3 ital; ”j; 328(k) Em140/ 5; 25 points ES 2120 Exam 2 March 8, 2010 4) The mechanism shown consists of a thin uniform bar A that weighs 2004b and a part B
that weighs 48lb. Bar A rotates about a fixed horizontal frictionless axis passing
through point 0. Part B is connected to bar A by a light flexible inextensible cord. When
bar A is vertical, part B has a velocity of 6 ft/s downward. For this position, determine: a) the acceleration of B and
b) the vertical and horizontal components of the force exerted on bar A by pin 0. (Be sure to include free body diagrams for both bar A and part B.) Answers:
aa= Crest/gm ’l
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 Spring '10
 Kobbe
 Dynamics

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