. In the arrangement shown, the normal reaction
between the block A and ground is
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Let the acceleration of A be a_1 downwards and that of B be a_2 upwards.
Constraint equation says that,
a_1 - a_2 = 0 => a_1 = a_2 = a (Say)
Let the tension on the string be T, and the normal reaction between the block A and the ground be R.
From the FBD of the block B,
T - 2g = 2a
=> T = 2(g + a) → (1)
From the FBD of the block A,
4g - T - R = 4a
=> R = 4g - 4a - T
=> R = 4g - 4a - 2g - 2a [From (1)]
=> R = 2(g - 3a)
I wish this would be the answer.
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