A beam is rotating about its center (like a big fan blade). It has a mass M and

Question

A beam is rotating about its center (like a big fan blade). It has a mass M and a length L. You and a friend are trying to make a daring escape and you each fall at the same time and grab hold of one end of the beam.
- If the beam had an initial angular velocity of 0, what is it after you and your friend are on it?

- The beam has a mass of 45kg, a length of 10m, an angular velocity of 10 rotations per second, and you and your friend have the same mass; what is the angular velocity with you and your friend on the beam (you don't have to change to radians for this problem).

Explanation / Answer

conservation of angular momentum

I1w1 = I2w2

o x Ml2/12 = [Ml2/12 + 2 x ml2/4]

=  [Ml2/12 + ml2/2]/(Ml2/12)

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