# The Conservation of Angular Momentum and Final Angular Velocity

SEE ATTACHMENT #1 for diagram of before and after rearrangement.

A framework consists of two thin, uniform bars of mass M= 12 kg, length L= 3 m, and two thin, uniform bars of mass m= 6 kg, length D= 3 m, forming a rectangle of length L width D. It is rotating in space with initial angular velocity Wo= 18 rad/sec.

At some instant, one corner breaks loose and the bars rearrange into a straight line rotating about a c.m. axis at angular velocity Wf.

Find the final angular velocity.

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:46 pm ad1c9bdddfhttps://brainmass.com/physics/velocity/conservation-of-angular-momentum-and-final-angular-velocity-6875

#### Solution Preview

The law which applies here is the conservation of angular momentum, 'Io Wo=If Wf.

You will need to recall that the moment of inertia about a c.m. axis of any thin, uniform rod of mass M, length L, is: (1) (1/12)(M)( L^2), and the translation of axis theorem is (2) Ip = Io + M h^2 in which 'h' is the ...

#### Solution Summary

The conservation of angular momentum and final angular velocity are determined. In a step by step process, the solution is explained in good detail.