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## Homework Statement

There's a system of 4 masses, all connected to a cross which has a negligible mass, and which is positioned on a smooth surface. The distance of each mass from the center of the cross is L and the cross spins around its center in a constant radial velocity of ω

_{0}rad/sec:

Now mass m4 disconnects from the cross.

What is the the radial velocity of the system after m4 disconnected, considering m

_{1}=m

_{3}and m

_{2}=m

_{4}=M?

## Homework Equations

Conservation of momentum:

Ʃm

_{i}v

_{i}=0

Conservation of angular momentum:

Ʃm

_{i}v

_{i}r

_{i}=ωI

## The Attempt at a Solution

I calculated using conservation of momentum that the linear velocity of the system after m4 disconnected was v

_{2}=Mω

_{0}L/(M+2m)

Now I think I should use the law of conservation of angular momentum but I'm not sure how. I think that the center of mass is L/2 to the right from the center of the cross so the distance of m1 and m3 from the center of mass is √((0.5L)

^{2}+L

^{2}). What should I do next?