Finding angular velocity -- circular motion

[Kevin Lester]

Homework Statement

A mass m1= 0.200 kg is tied to a string with enough slack to swing around someone's head with a radius of 0.500 meters. What angular velocity must m1 have in order to hold up a mass m2 hanging from the other end of the string if m2 is 0.300 kg?

Homework Equations

ac= v^2/r centripetal acceleration , angular velocity=rw^2 also use Newton's Second Law to find F=mac?

The Attempt at a Solution

I am not sure where to start but i would have to say to use Newton's Second Law to find

 

[BvU]

Hello Kevin,

It would help if you make a clear drawing of the situation; perhaps you already did so. Can you post it ? There is the force needed to keep m1 in its circular orbit, the force to keep m1 from falling on the floor and there is the force needed to keep m2 from falling on the floor. Your start is that they have to be in equilibrium.