How Do You Calculate Angular Momentum for a Ball on a String?

[gongshow29]

Homework Statement

A 1.9 kg ball attached to a string whose length is 1.8 m moves counterclockwise (as viewed from above) in a horizontal circle (see figure below). The string makes an angle θ = 30° with the vertical.
(a) Determine both the horizontal and vertical components of the angular momentum of the ball about the point of support P. (Use variables w,t and directions i, j, and k as necessary.)
horizontal 1
vertical 2

(b) Find the magnitude of d/dt.
3 N*m

Homework Equations

the equations is what I am trying to solve for.

The Attempt at a Solution

I have no idea how to attempt solving this equation :(

 

[Andrew Mason]

Do a free-body diagram.

What are the forces acting on the ball. Draw them as vectors. What do all the forces add up to?

How is that result related to the tangential or angular speed of the ball?

When you get that far, you may be able to solve the rest.

AM