Block on Wedge Problem

  • #1
Hi,
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.
 

Answers and Replies

  • #2
Doc Al
Mentor
45,204
1,540
First find the horizontal accelerations involved. What's the relationship between A and ax? Your constraint is that the block maintains contact with the wedge. (Hint: View things from the frame of the wedge.)
 

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