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Unformatted text preview: _._-——.—— v _ .flw ME 352 - Machine Design I a Name — Summer Semester 2003 Lab. Div. 3 EXAM 1. OPEN BOOK AND CLOSED NOTES. Wednesday, June 25th, 2008 Please use the yellow paper for your solutions. Write on one side of the paper only. Where necessary, you can use the figures that are provided to show vectors and instantaneous centers of zero velocnty. Problem 1 (25 Points). Part I. (i) Determine the mobility of the mechanism shown in Figure 1(a). Clearly number each link and label the lower pairs (11) and the higher pairs (Jz)on the figure. jii‘) Define vectors that are suitable for a kinematic analysis of the mechanism. Label and Show the direction of each vector on Figure 1(a). (iii) Write the vector loop equation(s) for the mechanism: (a) Identify suitable input(s) for the mechanism. (b) Identify the known quantifies, the unknown variables, and any constraints. (9) If you identified constraints in part (b) then write the constraint equation(s). 3| a ()rlswh‘e pain? $314.0: Ealni oi (endear in We“. ‘4) I 5" mgu.» Figure 1(a). APlanar Mechanism. (PM? I‘M“ 9L ‘2" C E? 1 ME352 -MachineDesignI lumen Summar Semester 2008 Lab. Div. 3 Problem 1 (continued). Part II. (i) Clearly number each link and define vectors that are suitable for a kinematic analysis of the mechanism shown in Figure lfb). Label and show the direction of each vector on the figure. (ii) Write the vector loop equation(s) for the mechanism and: (a) Identify suitable input(s) for the mechanism. (1)) Identify the known quantities, the unknown variables, and any constraints. (a) Ifyou identified constraints in part (b) then write the constraint equation(s). 7-— . —_“‘- */ Mum.“ 293/ 9'1” 9‘5 Viv/1’51}. ()J» (1‘ Der EC :9 Z. ULE ' 13C: Pure Rolling Contact Figure 1(1)). A Planar Mechanism. 2 UU. 3 ' $9 _____.._?.? ,1- Name § .- _ / ha. Lab. Div.___’3_—4§/Z\ W7 Problem 2 (25 Points). For the mechanism in the position shown in Figure 2, the input link 2 is\in"‘o’ving verncally ugwardfis with a velocity V2 =15 cm! s and an acceleration Kg ME 352 — Machine Design I Summer Semester 2008 =—5—j_cn1/sz. In this posmon, the line AB is horizontal and the distance fiom the ground pivot 04 to point A fixed in link 3 is 04A = 12.0 cm. ti) Write a. vector loop equation that is suitable for a kinematic analysis of the mechanism. Indicate the mput, the knowns, the unknown variables, and any constraints. Draw the waters on Figure 2. (ii) Determine numerical values for the first-order kinematic coefficients of the mechanism. (iii) Determine the angular velocity of link 3. Givo the magnitude and the direction. (iv) Determine the angular velocity of link 4. Give the magnitude and the direction. WH- Y “HEM-OW‘WS " '5 c“ L] + '1 m i e a -— deal TV; "—145- 0‘15 12?, mag “‘1; __——-—— Figure 2. A Planar Mechanism. 3 "' Fr.) .— i . M r ' _. ‘ - i _ _ 24.42.32; “*9”?!- x [m Err"_1._9 :2 L “imam wt; -—-——-—-«—--—-~-~—u—3—‘i“———--——i H711 rls *7!) ' ------ -—_'l ’5 set“: 2% my" - a??? 5e n \ ME 352 - Machine Design I rt? Name t Summer Semester 2008 Lab. Div. .3 Problem 3 (25 points). The mechanism shown in Figurel3 is dravm full scale. For the position shown in the figure, the input link 2 is rotating counterclockwise with a constant angular velocity (02 =25 rad! s. XQ/Show the location of all instant centers for the mechanism on the figure. Use the Kennedy circle below. Using the instant centers, determine the first-order kinematic coefficients for the mechanism. (111) Then determine the magnitudes and the directions of the angular velocities of links 3, 4 and}: (iv) Finall tennine the magnitude and the direction of the velocity of point B fixetm link 3'. kanoms: 9}] SL1; 5-6.. I 2 p“- 7’ °“ 1‘ . 94' The Kennedy Circle ‘i‘r _ I Naif. In I“! 5“";- Siiztic'i‘!5 cit i tfiiU-t “‘i‘O [\um‘flb " ilk”) : rm.- FM 6. ’. Figure 3. A Planar Mechanisnh (Drawn Full Scale; i.e., 1 em = 1 cm). 4 {93‘ E‘):__+fl‘)5 i; '2 nhlc) CU" fl __ l / Um| 3 of“ 618:" m: =9 -.- v _ D“ 3 ‘ fig} (fiat + -10 i «=5 @J-I -= TH law-4‘: E Etc. am i -F Fuel. 10: I —j*~—_ME?§TF§:—O v> my; I ~— 93‘ it. ’0;ng ll H3! E- 5‘}!!er "Hgflfis‘U ! ( .. £5 5 1") 95“D'Eg(o’l _ . ‘1 "1"— ‘ ~ air-quiwuarxc.‘ Pic-{'13. :2. :9 W668} “IA; _.__ («J 2 9. ‘w 2 0.77‘1 .15“““’/s.= I .mML i -' d4 (63 DJ}, 5' 012“??- “ 5‘ I742, .. __._L_,i__. _____i_m dzan‘) + ' jug/5‘ '5 1‘5— Na/Sl LEM 1: GL7 :- ...
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