Question

In the arrangement shown in the fig, the block of mass m 2 kg lies on the wedge on mass m 8 kg. Find the initial acceleration of the wedge if the surfaces are smooth and pulley & strings are massless.

Answer 1

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$\bold{Explanation:}$

Hence the value of acceleration is A= 3√3 g / 23 ms−1

Explanation:

Acceleration with the incline:

a = A ( 1 +  cos θ ) 3 A / 2 (Since θ = 60∘)  

F.B.D of M

Equation of motion:

For mass "m" : mg √ 3 / 2 + m A × 1 / 2 − T = m 3 / 2 A  ------(1)

N + m A √3 / 2 =  mg  1/2  -----(2)

For M: T + N √3 / 2 = M A  ----(3)

From equations. (1), (2) and (3) we can see that

A= 3√3 g / 23 ms−1

Hence the value of acceleration is A= 3√3 g / 23 ms−1