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A small block of mass m is placed on a wedge lying on a horizontal table. The wedge has mass M and face of the wedge is inclined at angle θ with the horizontal. Neglecting any friction, find the acceleration of two blocks.
This Problem can be done in two ways.
Method 1.
Take the free body diagram of two masses.
From this ax = g sin θ …… (1)
and, m ay = mg cos θ – N …… (2)
From this Nsinθ = ma …… (3)
The Mass m is in contact with M
Hence ay = a sin θ …… (4)
From eqn (1) (2) (3) & (4)
Ax = g sin θ ay = m cos θ . sin2θ/(msin2θ + M)
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