Question

Link OA is given a constant clockwise angular velocity ω = 1.6 rad/sec as indicated. Determine the acceleration a of point C for the position θ = 37° if b = 6 in. The acceleration is positive if to the right, negative if to the left.

Link OA is given a constant clockwise angular velocity w = 1.6 rad/sec as indicated. Determine the acceleration a of point C for the position @ = 37° if b = 6 in. The acceleration is positive if to the right, negative if to the left. @b 2.25 B с X Answer: a = in./sec2 the tolerance is +/-2%

Answer 1

e B. I egt A Loop X- Here xyz stroke length. X2=*= Distance moved from the diagram. We can say that X = X= (1+81) - (xicoso+lcosp? From the the figure see PB929019 OP - IsinB - risino Sino Sinß els 0 En r x= (2+91) - (Bicocoril cose) l-lcosB +996050 CircoSB) or i-coso) 9[*(1-сos p) + (1-сoso)] - €2

2 sin Bt los B = We know Cosp= [1- & sinn B مدافع elso) ouis [!- meyyy elsa) no sino nr (3) Cosp - fonsino 3 in 2 0 By simplifying 2=9[(-480) + (n -v man%)] • Velocity dx dt:

3 Up di dt d7 x do do dt P ОР C{1-605+ (n-Va*sivo)] x 60 mx - 2sino Cose v gw[0-4 -(-sino) + X v=rwl sinot sin2o 1-sin oruis لیا 9 I ( : sinof sino can be neglected UT Op Acceleration dy dit ཁུག dv do . X dt e хо [ 96 (sino+ Sin28 2n do Cos 20 ro [ COSO + n a - 2.2 l = 2.286 tere. 8=6in, ne L6 13.2 in ) 0 - 379 Wa16 rad/s. a cos@x37) M .. 9'}Х 9 = D se] Cos 37 + 2.2 a 6x1.6 x 0 x 0.924 a = 14.19 in /s