How Does Angular Momentum Apply When a Door is Hit by Mud?

[mvpshaq32]

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 41.0 kg. Initially open and at rest, the door is struck at its center by a handful of sticky mud with mass 0.700 kg, traveling perpendicular to the door at 11.0 m/s just before impact.

Homework Equations

L=rmv=I(omega)

The Attempt at a Solution

I know I have to use conservation of momentum, but I have no idea how to set up the problem of turning linear momentum into angular momentum.

 

[rl.bhat]

You have to use conservation of linear and angular momentum.

 

[ashishsinghal]

You have to use conservation of linear and angular momentum.

you cannot use conservation of linear momentum. The hinge will provide external force.

 

[ashishsinghal]

I know I have to use conservation of momentum,

you have to use conservation of angular momentum.

but I have no idea how to set up the problem of turning linear momentum into angular momentum.

angular momentum = mvr sin(theta)

find angular momentum of door about the axis and multiply with angular velocity to get angular momentum.