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**Unformatted text preview: **ES 2120' Exam 3 April 19, 2010 Name; 30L. UWQWJ 1) Short answer questions 5-point 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/$2, , mwﬁ reefs
where t is in seconds. if the initial angular velocity of the disk is 030 = 6 rad/s, determine the magnitude of the velocity B when 2‘: 2st QC; éwywéﬁ w Mfg? [04.61% ”a
w w "3
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C) D W: aim 2:: “1.8%“9/{5 WQ$W%W“$ ﬁslﬂm'gqgﬁ>zz 340133) m/{S cl; c) A 12-lb 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-
(Aim tr ”ng mm a: teb<§r§ﬁgf :r {TEE EW/E;
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,
Q13 “.2: mg a? ﬂ/g We at» 33 W2”: ’i‘“ Qfm, Z" {Ems (2ny r '22 stiﬂi‘é’t’fﬁil
\mL ‘3 43"“ + mg»? 4- itazgmag‘ We "51 W A cm (2522 ”:2”, “mat “2% ms» , e’
<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%?
a,” ﬁlclﬁ’ﬁW/s’; G‘s “I: 33%;?) Sui/ﬁg“ .9 9g 0‘43» 3 “M, “m 05.0294.
: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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E of“ 9%"ng :2 E/m{%§7x§) :1 \oq‘t’l “$0qu 5‘5:sz ~ lg. “t ”/2, é§t§§<tggw‘)'i+ ‘lzCifttltamZ :g; ﬁﬂl‘twiﬁoltg L V2: ”‘3‘“ 3—? 5425630237: 540 emit, :2 4—5 imp X3 4‘ \lg 3: Tl “gm VL ﬁx?” ?% 2:: 24,.th Wizwig-éigw 35W?
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 48-lb. 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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M” 0v=l4~4t~gltt ’l
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2ft
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Elli?» onQ "r 2;:6 i‘; :zqﬁcgﬂ «MW
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to Z j ‘“ Oy ““200 2: m aszQ) O (M 1 ﬂ
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- Spring '10
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- Dynamics