The original question is: What are the accelerations of the two masses?
Assume all pulleys and strings are massless and frictionless
My problem is whether there is a mechanical advantage in the question so I should divide the acceleration of the smaller mass by 2, and the acceleration of the larger mass by 4.
The Attempt at a Solution
Since the two masses are independent of each other, I thought that the accelerations of both masses were seperate.
So, for the first mass,
F = 2T - mg
ma = 2T - mg
I thought that tension force was equal to the applied force so,
a = [2(120) - (3)(10)]/3
a = 70m/s^2
For the second mass,
F = 2T - Mg
Ma = 2T - Mg
a = [2(120) - (8)(10)]/8
a = 20m/s^2
The reason I believe that there is a mechanical advantage is because if you pull the string by 1m, then the small mass will only move up by 0.5m, and the large mass, 0.25m