E1_04M_s - ME 364 Kinematics NAME Summer Term 2004 Exam 100 Points Open Book 1(15 Points The mechanism below is shown one half of true size Link is

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Unformatted text preview: ME 364 - Kinematics NAME Summer Term, 2004 Exam, 100 Points, Open Book 1. (15 Points) The mechanism below is shown one half of true size. Link is rotating clockwise at a rate of 300 revolutions per minute. Determine the velocity of points A and B, and the angular velocities of links 3, 4, and 5. A I I VB =____.é ~/r I (av/w) 30%%£ WA (03 =W%R “’92 F’ = 31'4an/A r/ph 4WML¢ , (D5 = W sided/(d 69 W9, VB (’2 2; 4/ :6 @V (I l 6) . V029: gnaw “4 A ) l w :°1(7)}/'9 m ‘ "9 4/0“: 0/0034“ = /”flfh% : 4/” 34 all/aw @ Willi—3) ’ - 41m - :08: 501.1% “6’430573’14: 77') ab”) = c , § 5 I __,_. 3 Mime” M635) 4/ V3: 0/95 M 6) “’r 0M) : rut/gin) V056?" Q aka/J: 100)Q/'7)‘é&3nm/; : éofm/s 45 a W§:_‘/fl£\é_§:c7lf . 0‘ ' age 2. (15 Pornts) qfi'ter‘inine th 1(2cations of all of the instant centers in the mechanism below. Clearly identify the location and identity of each one. Location accuracy is part of the grade. MA]: 304 - mnemancs Exam - bummer l erm, lull" 3. (25 Points) The mechanism is shown full size below. LimbKis rotating clockwise at a rate of 3.00 radians per second. Determine the angular velocities of links 3 and 6. and the velocity of point P. Cg WorkHere: a s w J, @ Va: flat/Jug = Mn/J’Jfifw/r a4 : K”;— : .51 ,/,30 M y/ .// y/ U319 wawfin 6’ A; = Va *l/As/At Q Ina/e 97‘ 3 flflef 15); M344) (1/5; We //7 5 @Imyr 07(5 7373/ f’ meta/’1 MAE 364 - Kinematics I Exam — Summer Term, 2004 I Page3 4. (10 Poi I ts) Determine the degrees of freedom in the following kinematic chains (Show your work for credit). Q} a. DEE / @ DF = Rolling DF = x [U 0)) TQ) 4 DF=3@-/>-&(3H)—l[l)~/(o/ I pF:3(£/—/)r;(3+o)»//,/’//,/ :r/l'g’Izy :?’é,/_/ 5. (10 Points) The part shown is made from a flat piece of steel (density = 8000 kg/m3) which is 10 mm thick. Determine the mass moment of inertia about an axis perpendicular to the paper through point G. @ VI: l}g(,oc)ép/) ; £00075]: fifty”): ,76’5’k/ '1 J. 51;) I1: 127,621+“): 177EZ640+5W97 MM l 160 @ m3:{,0%0%0//: ,Mwlé [visa/3;): Jag/#7 50 M 4 “I 1 .2 y l I3: 75(fldj: .7: 40+”)- 34,; 30 @ MA=M3~ 6. (5 Points) A part similar to the one shown in problem 5 (same dimensions) was weighed and determined to have a mass of 0.38 kg. It was oscillated on a lmife edge in one of the holes as shown, and was observed to make 30 oscillations in 20 seconds. What is the mass moment of inertia of this piece about an axis through its mass center, G? : 0 ~—— : T a‘ : gas/(L T {Ur Kg: 9 L ‘Mjr Zia/l7: 30m : (Jammy..ng l : 3937, 7 V A a a. “LG ’ 1:7 ‘ W {— MSZ 7-— 3390) U MAE 364 - Kinematics Exam — Summer Term, 2004 Page 4 7. (20 Points) Using the complex number approach, analyze the mechanism shown. _) (a) Determine the series of scalar equations which must be used to solve for the angular velocity of the output link 4 assuming that the pin of the output link is x to the left and y above the input link. The distance on the output link to the elbow is D and the length of the input link is R. The angular position, 6 , and angular velocity of the input link are known. (Box each equation in the answer) (b) If x = 3.00", y = 1.50", D = 1.00", R = 2.80", 9 = 75°, and the cam is rotating clockwise at a constant rate of 20 radians per second, determine the angular velocity of the outpW—d a a (9 : - gen/A ’ ' ’9 . . W Re“ 5wX+4/v 417-106 R (Mi/‘h'flaé/ : r ' Ky] Kwéfi ~x+x + Dwé mun/M) v/J ’ , . P v u Mllfléeigy:fl’jé)+ jd(p-/¢)YQJX MM : [Col+j(po}_é)]e“ I /IR§’(C05§+j§/h§) I [C02 + ~ )JéfiMOxfmd) : 602(an -[Do?~é)$/no( cismx +(Do'l-é crux l W 3.9c057f0‘ ~3 4 I epic! + me AI?5/“7f : /15/+/5/h0(fC@;¢< I a “ ~— 9‘77:7- 3 + cos x +cmx ;7 2.7W7:cmd +65m¢2 £054 » fa: /.$'+ Sm o< abccerx /, MM : 9M; Cased SW“ 3 71am - 3 ’ 5X * (0% 4—5 , /')0955MD(; SMKA S/hX/pr \ Cca;o( .m. “ grab \ M 7 (W 4 /' W6 5'" °‘ = L—Qn rib é We {W C I ' M- w. - t I p r :7jlqa «Q,S’[-?U)S’/o7{‘a 5' C 4% 605K — " C ) 5"") l /me/u/ 2:3‘7ff5, - .., I I 8 Wit/"n ", / Mammy)“ : Cot Smot+(o(~c)c050( gag; C, W»: 0'! : «~19. 77 rail/fl“ (‘3’ "/7 I'n/s ...
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E1_04M_s - ME 364 Kinematics NAME Summer Term 2004 Exam 100 Points Open Book 1(15 Points The mechanism below is shown one half of true size Link is

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