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## Homework Statement

All the surfaces shown in fig. are assumed to be frictionless. The block of mass m slides on the prism of mass M which in turn slides backwards on horizontal surface with acceleration of a

_{o}. Find the acceleration of smaller block with respect to prism.

## Homework Equations

## The Attempt at a Solution

As we are working from the frame of reference of prism which is non inertial

we have to include a pseudo force in opp. direction of acc of prism.

Now , forces on the block are

1)mg downwards

2)Normal force N

3)pseudo force (ma

_{o})

When I resolved these forces using force body diagram , it gave me 2 equations

ma

_{o}cosθ+mgsinθ=ma

i.e a

_{o}cosθ+gsinθ=a

and

N+ma

_{o}sinθ=mgcosθ

I m stuck here...

How to eliminate N and a

_{o}??

Please help

Ans is

(M+m)gsinθ / M + msin

^{2}θ

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