# Homework Help: Double Atwood machine

1. Dec 30, 2009

### player1_1_1

1. The problem statement, all variables and given/known data
I have a double Atwood machine; on left side there is a heavy thing which weight 4m, on right side there is another circle (this circle which go around in atwood machine) and on left there is heavy thing which weight m, on right - mass which weight 3m. Now the 3m thing starts to go down, m thing goes up. Why the 4m mass goes down, while the mass on both sides are the same mass?
http://img10.imageshack.us/img10/9270/testttti.jpg [Broken]
2. Relevant equations
I got this result from Lagrange equations
3. The attempt at a solution
I tried to research how the forces in lines and masses are existing, but I couldnt find any soluton for this.. why this 4m mass is going down? thanks for answer!

Last edited by a moderator: May 4, 2017
2. Dec 30, 2009

### tiny-tim

Hi player1_1_1!

If the 4m didn't move, then the centre of mass would go down.

So the 4m must go down to keep the centre of mass where it should be.

(you'll probably find that 4a + b + 3c is a separable variable)

3. Dec 30, 2009

### player1_1_1

does it have any explanation why centre of mass must be in same location? maybe some additional forces which force this 4m thing to go down?

4. Dec 30, 2009

### tiny-tim

Newton's first law (and zero net external force) ?

(Imagine you're hanging from the right-hand disc, instead of the masses, and you put your arms "above" your head … would you expect the left-hand mass to stay where it is?)

5. Dec 30, 2009

### player1_1_1

now i understand this, thanks!