# Angular Momentum problem, Swinging door

**1. The problem statement, all variables and given/known data**

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.

**2. Relevant equations**

Conservation of angular momentum

[itex]rmvsin\theta=l[/itex]

**3. The attempt at a solution**

[itex]L_{mud}=L_{door\&mud}[/itex]

[itex]rmvsin\theta=(I_{door}+I_{mud})\omega[/itex]

[itex].5(.5)(14)sin(90^o)=(I_{door}+I_{mud})\omega[/itex]

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

http://ift.tt/1g5KmaO

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