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- 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

- Homework Equations
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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?