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## Homework Statement

The original question is: What are the accelerations of the two masses?

Given:

M=8kg

m=3kg

g=10m/s^2

Fapp=120N

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.

## Homework Equations

F=ma

## 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