Question:
two blocks of equal mass are tied to each other by light string .one of the block is pulled along the line joining them with a constant force F.find tension in the string
Answer:
Let the mass of the two boxes be m each.
Consider Block 1 and resolve the forces acting on this block.
We find acceleration ma = Tension T in the string; Hence, ma = T -------------Eqn (1)
Consider Block 2 and resolve the forces on this block
F – T = ma ---------------------------Eqn (2)
From (1) substitute T value in Eqn (2)
F –ma = ma
F = 2ma = 2T
Hence, T = F/2 which means tension is half of the force applied to pull the block
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