In the arrangement shown in the figure , the rod of mass `m` held by two smooth walls , remain always perpendicular to the surface of the wedge of mass `M` . Assuming all the surface are frictionless, find the acceleration of the rod wedge.

Explanation

Let acceleration of `m` be `a_(1)` (absolute) and that of `M` be `a_(2)` (absolute).
Writing equations of motion only in the direction
For `m` `mg cos prop -N =ma_(1)` …(i)
For `M`. `N sin prop = ma_(2)` …(ii)