S10+Exam+3+(solution) - ES 2120 Exam 3 Name 30L UWQWJ 1...

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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/$2, , mwfi reefs where t is in seconds. if the initial angular velocity of the disk is 030 = 6 rad/s, determine the magnitude of the velocity B when 2‘: 2st QC; éwywéfi w Mfg? [04.61% ”a w w "3 %W% W [(0;€g3‘&:z «at.» 01?,3”) :5: 0.2."é; +.QI‘;§&§W{:; 2:; 30‘ RN75 C) D W: aim 2:: “1.8%“9/{5 WQ$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” Err a vine», W W's A; Q ,w’ \2 C) at: “@fg’a‘ 2‘; 2. 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 : qlva 4'1” W M” 0v=l4~4t~gltt ’l i Mid} 2ft mod?) Elli?» onQ "r 2;:6 i‘; :zqficgfl «MW WW 5%: ts" 9.th SQLAN: CD W @313 ’ngE “A“ m I $5“ (0.:me ft: x :éwwgfig #:ng m. gégfxmct) WT“ {algal D ’1: g" "- zoo OX 3 Mcglq ill, to Z j ‘“ Oy ““200 2: m aszQ) O (M 1 fl ”“79 9 more «was Ame; :2 Maw 23 , I 0:: «=— 3&8 Em "’6“ QQ 40 (at; $2,; . “A W Mgr; “fr Mes-33W a ‘ ~ng .9 t aw Mififléfl} :3 mafia A} 25 points ...
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