Question

derive the formula for acceleration and tension in case of atwood's machine​

Answer 1

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Equal masses, no acceleration

For the system to be in equilibrium, T = Fg. The net force is 2Fg - 2T = 0, so there is no acceleration. The tension in the string is 2T or 2Fg. The string supports both masses, so we would expect the tension in this case to be the sum of the two downward forces.

Answer 2

For the system to be in equilibrium, T = Fg. The net force is 2Fg - 2T = 0, so there is no acceleration. The tension in the string is 2T or 2Fg. The string supports both masses, so we would expect the tension in this case to be the sum of the two downward forces.




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