A right triangular wedge of mass M and angle theta, supporting a cubical block o

Question

A right triangular wedge of mass M and angle theta, supporting a cubical block of mass m on its side, rests on a horizontal table, as shown.
a. What horizontal acceleration a must M have relative to the table to keep m stationary relative to the wedge, assuming frictionless contacts?
b. What horizontal force F must be applied to the wedge to achieve this result, assuming a fritionless table top?
c. Suppose no horizontal force is suppplied to M and both suraces are frictionless. Find the resulting acceleration of each mass relative to the table.

Explanation / Answer

let F be the horizontal force for cubical block of mass m Fcostheta =mgsin theta hence F =mg *tan theta ............ hence acc =force/total mass =mgtan theta /(m+M)

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