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A block of mass 'm' slides on a wedge of mass M. The wedge also moves on a smooth frictionless surface. Find the acceleration of the wedge.

I have written down the equations of motion for the wedge and the block but dont know how to proceed further as there are more variables than equations:

a= ax + ay (block)

A = acceleration of wedge

For block:

[tex]Nsin\theta = m(ax)[/tex]

[tex]Ncos\theta - mg = m(ay)[/tex]

For wedge:

B is the normal reaction by the ground on Wedge

[tex] B = mg + Ncos\theta[/tex]

What do I do after this? I think I have to work out a constraint relation here but I am not sure how to do it. Please help.

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# Homework Help: Block on Wedge Problem

**Physics Forums | Science Articles, Homework Help, Discussion**