In the figure shown blocks A and B are kept on a wedge C. A, B and C each have mass m. All, surfaces are smooth. Find the acceleration of C.

Let c be acceleration of wedge C.a be acceleration of block Aw.r.t. wedge c.b be acceleration of block. B w.r.t. wedge c.Applying Newton's law in horizontal direction to system of A+B+C.mc+mc−acos⁡37∘+mc+bcos⁡53∘=0    ……(1)Applying Newton's law to block A and B along the incline gives. In case of A:mgsin⁡37∘=ma−ccos⁡37∘   …..(2) In case of B:mgsin⁡53∘=mb+ccos⁡53∘   …..(3)Solving (1), (2), and (3), we get c = 0