Angular Momentum problem, Swinging door

[sreya]

Homework Statement

A solid wood door 1.00 m wide and 2.00 m high is hinged along one side and has a total mass of 42.0kg . Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass 0.400kg , traveling perpendicular to the door at 11.0m/s just before impact.

Find the final angular speed of the door.

Homework Equations

Conservation of angular momentum

$rmvsin\theta=l$

The Attempt at a Solution

$L_{mud}=L_{door\&mud}$

$rmvsin\theta=(I_{door}+I_{mud})\omega$

$.5(.5)(14)sin(90^o)=(I_{door}+I_{mud})\omega$

How do I determine the inertias for the mud and the door??

 

[TSny]

Hello, sreya.

Most textbooks contain a table of moments of inertia for various objects. Treat the mud as a point particle.