Question

Two-position analytical synthesis is used to design a fourbar linkage to move a line in coupler link in two positions (P1 and P2) shown on next page. (a) Write the vector loop equation(s) for the left and right dyads (do not expand them). (b) For the left dyad, specify all variables and show prescribed variables. How many free variables are for the left dyad and why? (c) By solving the left dyad, Wix and Wiy are obtained as Wix =-0.36 in and Wiy=1.60 in. Find the crank link length (W) and its angle (0). (d) By solving the left and right dyads, z=1.80 in, 6=60°, s=1.60 in, y=120°. Find the coupler link length (v) and its angle (03).

Answer 1

Answer:

.Y 50 24 2 A A29 W 2 02 이 it +Por elor - wze' 1 xx a) 'The vector loop equation for the left and right dyods; i) were + ze pis 2 = Wei(+B) + Zei(+22) ueltseilt Pzi e ei Co+8) 't sei CQ +92) b) for the lef 9 dyod, 2, e8+ eico+B2) ei Cotx2) OH id + P21 eid wie + Zz Total variable, w, Z ,P2110, 0, 82, 22, B2 - 1 Prescribed voorables, P21, 82 W - W2 = w zi - Zn = 2 Wix -- 0.36 in Way = 1.6oin i. Crandt length Swix +W, 7²

wy : -0.36) + (1-6052 - 1.6h in. crank long th Then , tan Wix - tani tant ( 1-60 -0.30 0 = 102.68° d) S 2 o V z z 1.8oin ¢ - 60 3 = 1.60 in Y = 120 =) Angle, p = 0+03 03= 120-60° 03= 60° Sa+z?- 292 coses =) Corant length, va 21(1.60) + C1-80j?- 2x t. 60x1-80xC0566 IV = 1.7lin