The collar `A` is free to slide along the smooth shaft `B` mounted in the frame. The plane of the frame is the vertical . Determine the horizontal acceleration a of the frame necessary to maintain the collar in a fixed position on the shaft. `(g = 9.8 m//s^(2))`

Explanation

`FBD` of `A` with respect to frame is shown in figure .`A` is in equlibrium under three concurrent forces shown in figure , so applying Lami's therem

`(ma)/(sin (90 + 60)) =(mg)/(sin (90 + 30))`
`:. a = (g cos 60^(@))/(cos 60^(@)) = 5.66 m//s^(2)`