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**1.) Homework Statement**A Pulley System is shown below

Find the accelerations of m1, m2 and m3 (such that there is no slipping between the disk and the rope.)

Assume the threads to be massless.

## Homework Equations

The Relevant equations i think are Newtons 2nd law of motion for translation of m1 and m3

And Rotational as well as Translational equations for m2.

Also Torque about Fixed Axis Of Rotation can be written for m2.

## The Attempt at a Solution

[/B]I have attempted the problem like this :-

assumed m1 to go up with acceleration a1,

assumed m2 and m3 both to go up with acceleration a2.

assumed α to be the angular acceleration of the disk anti clockwise.

assumed tensions T1,T2,T3.

T1 is not equal to T2 as the disk has mass.

**The other equations are :-**

**The Variable are a1, a2 , T1, T2 , T3, α
**

6 equations and 6 variables, so it can be solved.

My Question is that are these equations correct and how do i know that my assumed accelerations are in the correct direction??

Please Reply! Thanks!