- #1
jisbon
- 476
- 30
- Homework Statement
- As shown below, a metal plate is pivoted at point P. A 0.04kg bullet is shot into the plate (velocity = 220m/s) and is stuck in the plate. Determine maximum height the COM of the system rises after the collision. The breadth of plate = 40cm, height = 1m
- Relevant Equations
- -
Here are my workings, and I was wondering if I'm correct so far.
Let ##m## be mass of bullet and ##M## be mass of plate.
COM:
##mu_{bullet} = (m+M)v##
##\frac{1}{2}(m+M)v^2=(m+M)gh +\frac{1}{2}I\omega ^2##
where I is the inertia, so using parallel axis theorem,
##I = \frac{1}{12}bh^3 + md^2 = \frac{1}{12}(0.4)1^3 + (5)(0.5-0.2)^2 ##
Is this correct so far?