Two blocks of mass connect to a pulley

[kitsunebell74]

Homework Statement

Blocks of mass and are connected by a massless string that passes over the pulley in the figure . The pulley turns on frictionless bearings, and mass slides on a horizontal, frictionless surface. Mass is released while the blocks are at rest.

Homework Equations

I found a1 for the mass of block one (m1).
a1 = m2g/(m1+m2)
T = (m1*m2*g) / (m1 + m2)
and tension in the string (which is the same everywhere)

The Attempt at a Solution

Now I must find a1 with a mass of the pulley (mp) and radius R.

So far I have drawn my free body diagrams for block 1, block 2, and the pulley. I was able to sum up my forces but I am having trouble summing up the net torque. Will the tensions from the two block be separated? Like this Tnet = r*T1 + r*T2

 

[tiny-tim]

welcome to pf!

hi kitsunebell74! welcome to pf!

So far I have drawn my free body diagrams for block 1, block 2, and the pulley. I was able to sum up my forces but I am having trouble summing up the net torque. Will the tensions from the two block be separated? Like this Tnet = r*T1 + r*T2

yes, the tensions will be different, and τ_net = r*T₁ - r*T₂

now apply the rolling constraint a = rα ​

 

[kitsunebell74]

Thanks for the greeting. I figured it out. :)