Consider a bar of length L, mass M, and uniform density floating in free space (ie: neglect gravity and assume that it is not contacting anything). The bar is initially stationary. Imagine a bullet of mass m travelling at a speed v hits the bar at one end. What is the linear momentum of the bar, the angular momentum of the bar, and the linear momentum of the bullet after the collision?
2. Relevant equations
p_bullet = mv before collision
Momenta of the bar are zero, for both angular and linear.
3. The attempt at a solution
The best I can come up with is that in the collision, we have:
mv = p_bar + Jw_bar + mv2
Where v2 is the speed of the bullet after collision and Jw_bar is the angular momentum of the bar. The problem I’m having is I can’t figure out how to find the expressions for p_bar and Jw_bar in terms of the known variables M, m, and v.