Question

derive the formula for acceleration and tension in case of atwoods machine
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Answer 1

Answer:

1. Equal masses, no acceleration

The illustration shows an equilibrium situation. The two masses (M) are equivalent, thus the force of gravity on each is equal. The upward force opposing gravity is the tension (T) in the string.

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.

Note: In the simplest of Atwood's machine problems, we usually make two simplifications, that the mass of the pulley is zero and that pulley/rope system is frictionless. We can relax those restrictions later when we get good at the easy problems.

Explanation:

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