Why Does the Atwood Machine Accelerate Faster with Increased Mass on One Side?

[brick]

Homework Statement

Well gravity's acceleration on objects is 9.8 m/s^2 and the question is why the Atwood Wheel moves faster as the mass on side is increased.

Homework Equations

N/A

The Attempt at a Solution

I am thinking it has something to do with inertia and the torque of the wheel since the more mass more inertia if i am not mistaken. Any help or point in the right direction would help thank you

 

[ffrog]

you could just simply do some proofs by just proving the masses have a higher force by simply crunching numbers like 5 times for each side one light on heavy and increase mass for the light one and increas for heavy and show how the force increase and drops. pretty simple but shou8ld prove it