Find Angular Acceleration of Pulley w/ Mass & Rope Connected

[wiveykid]

Homework Statement

There is a object with mass m connected by a massless rope to a pulley with mass M and radius R. Find the angular acceleration of the pulley when the mass is let go.

Homework Equations

torque= I*angularacceleration(aa)=r*F
F=ma

The Attempt at a Solution

pulleys with mass give me trouble all around.
I know to find the angular acceleration i must find the tension of the the rope.
Fnet= T= mg-Fpulley
I do not know how to find the "force" of the pulley, or the torque. could anyone show me how to find the force of the tension.

 

[tiny-tim]

Welcome to PF!

Hi wiveykid! Welcome to PF!

(try using the X₂ tag just above the Reply box )

I know to find the angular acceleration i must find the tension of the the rope.

Nope … try not to find internal forces you're not asked for!

Hint: look for an equation of motion of the system as a whole.