How Do You Calculate Tension and Acceleration in a Pulley System?

[myoplex11]

Homework Statement

Determine the tension developed in the cords attached to each block and the accelerations of the blocks. Neglect the mass of the pulleys and cords. I have attached the picture below.

Homework Equations

Fnet=ma

The Attempt at a Solution

W=mg=(6*9.8)
I have no idea how to proceede any further

 

[tiny-tim]

… give the lengths names …

Hi myoplex11!

The first thing to do is to give the lengths of the cords letters, such as a and b.

I haven't seen the picture yet, so I don't even know if there's two blocks, but I assume a + b is a constant, so you can call that c, and then eliminate b by putting b = c - a.

Then you use your F = mx´´ equation to get an equation in a´´.