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iONUSCIexam_3_soln_fall02 - Willi On my honor as a student...

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Unformatted text preview: Willi On my honor as a student, I have neither given nor Name: SOLUBON received aid on this test. SSN: Pledged: EGN 3321: DYNAMICS Fall 2002 EXAM # 3 lrgue or false Questions (10 points: 2 points each! ‘1'" 1) Rolling without slipping occurs when two points that come in contact, one on a circular body and another on a surface or another body, have the same velocity. F 2) When a wheel rolls without slipping the point of contact has zero acceleration. F' 3) In a general plane motion a rigid body translates only. F 4) In a general plane motion, the angular velocity is always in the plane of motion. '1' 5) A rigid body resistance to rotational motion is due to its mass moment of inertia. Multiple choice Questions 115 points: 3 points each! The double wheel shown, rolls on its hub without slipping. At the instant shown its angular velocity and angular acceleration are a) and a. Point C is the point of contact with the stationary surface. Answer the following questions by circling the correct answer (only one answer is correct to each question). Draw the velocities and accelerations of various points. 1) The velocity of 2) The velocity of point point 0, the center of C is: the wheel, is: @ zero a) Rmzi b) Rooi ' c) —Rmi d) ij point E is: point C is: a) Rmi ' a) Roci b) zero ' b) Zero @3ij ' 31‘“)? d) Rmi + Rcoj . 6» R03 J Problem 1 (25 points) Knowing that at the instant shown crank BC has a constant angular velocity of 45 rpm clockwise, determine: a) the velocity of point B; b) the acceleration of point B; c) the angular velocity of link BDA; d) the acceleration of point A; Draw the velocities and accelerations, both linear and angular, mentioned above — 5 points! a) ”on;< 6c fli/uuLa/o—II'C %?w€c$0 T WV.»WW..~W..... Mn“..._~u~,\_...— ”m We? a 16.36 07/3 r ~W».mmmm.wmmmn.~mkm \ _, .4 6'3? :2 04936 {EC 2 O {2 O 05 a. cage?” ac. ——9 M..-“mmnMWmammWW.WWE 5< ‘45 a 88.23 J/g~—»\ a.“mummuyw—‘IWWWMMwlmmn‘lmmuNM‘mmAn-nmmimm “a" C) a“ lcafw 2&43 a T i M“ j M 0,: 0’) (15(nger mmth 0 am a. “IMLézn-Lgf my ”6?Mc7‘" a: a; {D t “t! r a” OCAVC m v. __7., ..,, ———«> v-~> 1 OA 2 C(é + 06mg X ”4/3 " OJ m/& o 373$? -4: 3» Ugh/BK] 2. ,4g - 6.5g,“ 6.93 04% l. 1/ 04-512 8&7 8’3 (“pa ~9> (>493 1,—0.8; Mel/82,5 2. (”2.82 dad/£2 > ‘. ( 7 ,1"); «D ”I I (fly 0,1. 9 {7.2843341 _Wm.._.... ‘ 5 t 2 57.28 472752, ‘5 “A... fl,,..»_m»—W.M.M~nurflfimmmw.w.~m\mmrwflwv V, a42—4M9 ww WW WM Emblem 2 The 180 rate shown is lowered by means of two overhead cranes. Knowing that at the instant shown the deceleration of cable A is 9m/s2 and that of cable B is 3m/ 52, determine the tension in each cable. Draw the FBD and mass-acceleration diagram! 0’77 'OCC 7,; 2 £33.36 N 72 2 606.43 M JQ=OOY : I»: c 424%» mw'cflkg, : are 2 TZeO< k %:W ézfiewax Q+F=anér I +7 21320777 : Pnn-rf-szo fl P\/= 38.86N7‘ + a 2 a IZVQ 57%g ngm.%iZth% P97; + Qm = «Qdfi- 020%]; w 20(006) + /o (on) 2 6 (oosfx + 4 @szx 2.4 = O./3ro( (X; (9,99% dad/5;]: “—9 deg, Z,/33 W/S'AL F2 mafisz z 6(2J33)— /o 2 ng ._. V fwdé , (jg/V ‘4 @306) 55.34 '3— Zl33 N f (fig/79% 067% W'é‘W‘ 2:2 @.0935.54 ~» x343 M + P ’ w M e"Z%x7—W% -' &+‘}/7 09745, ——> 05,2 %;/3321 W \‘fl»_m.._m_______‘~ ................. *j 277G;%/o< .. PM; 2 194% -» 0(2 20(004) £4003)L M‘ (X: 24,63 mad/51f ...
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