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Homework Statement
Consider a pulley, which has two masses of 2kg each attached with a massless rope followed by a spring (on one side only). Consider another system of a pulley, same as the previous except that the mass connected to the rope with the spring is of 1 kg. Find the ratio of extensions of the two springs, assuming the spring constants to be equal in both cases.
2.What i think
I tried making a freebody diagram of the spring...it has a force equal to tension (2g in first case) acting upwards, and another tension force acting down. Both the forces try to stretch the spring, so total force on it is 4g in first case and 3g in second. I assume system to be in equilibrium in both cases.
Thus extension should be 4:3.
But this is not the right answer. Rather i feel i m very much off the track on this one. Kindly suggest how do i solve this.
Any help is appreciated