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HSSN19
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Homework Statement
This is a question from the physics textbook Don't Panic Volume I, chapter XIV.
A man, mass M, stands on a massless rod which is free to rotate about its center in the horizontal plane. The man has a gun (massless) with one bullet, mass m. He shoots the bullet with velocity vb, horizontally. Find the anglular velocity of the man as a function of the angle θ which the bullet's velocity vector makes with the rod.
Homework Equations
L = r x mv = mrvsinθ
L = mr2ω
The Attempt at a Solution
Initial L = m(l/2)vbsinθ
Final L = M(l/2)2ω
Therefore, ω = (2mvbsinθ)/Ml
What do guys think? Was I correct in using conservation of angular momentum? It is a very weird question compared to the rest.
Thanks in advance!