Solving Dynamics Homework Problem: Ceiling Force on Hook

[J89]

Homework Statement

Two weights are connected by a very light flexible cord that passes over a 50 N frictionless pulley of radius .300 m. Pulley is a solid uniform disk and is supported by a hook connected to a ceiling. What force does the ceiling exert on the hook? There are two weights around each side of the disk, one is 75 N and the other is 125 N. Answer is 249 N.

Homework Equations

I = 1/2 MR^2
F=ma

The Attempt at a Solution

clueless..help!

 

[CaptainEvil]

Homework Statement

Two weights are connected by a very light flexible cord that passes over a 50 N frictionless pulley of radius .300 m. Pulley is a solid uniform disk and is supported by a hook connected to a ceiling. What force does the ceiling exert on the hook? There are two weights around each side of the disk, one is 75 N and the other is 125 N. Answer is 249 N.

Homework Equations

I = 1/2 MR^2
F=ma

The Attempt at a Solution

clueless..help!

As in any dynamics problems, start by drawing out your free body diagrams for each body - your two weights and the pulley, taking into acount all the forces acting on the weight, and the sources of torque for the pulley.

Then you can apply F = ma to each body, for each axis of movement, but don't forget your appropriate constraints.