In the arrangement shown in the figure, if the acceleration of B is a→, then find the acceleration of A.

Direction of acceleration of .B is along the fixed incline, and that of A is along horizontal towards left.From diagram, acceleration of B is represented by AB→ while its horizontal and vertical components are shown by AO and OB ,respectively. Acceleration of A is represented by AC→OC→=a(sin⁡αcot⁡θ+cos⁡α)