Forces, marble on side of spinning bowl

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Homework Statement


A bowl has a hemispherical inside surface with radius R = 15
cm, and is sitting in the exact center of a spinning table that completes
one full turn in 0.72 s. A small marble is dropped into the bowl. After
the marble has stopped rolling around, it will come to rest against the
inside surface of the bowl, rotating around the center of the table at the
same rate as the bowl. You can ignore the size of the marble. The
angle θ, as defined in the figure, is closest to ___?

DIAGRAM SHOWING THE PROBLEM
http://imgur.com/0pKoAKT

Homework Equations


I guess F=ma
a=v^2/r
Ff=Fnμ

The Attempt at a Solution


No idea how to start even approaching this, sum of all forces?
 
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It would probably help us to see the figure stated in the problem.

Looks like you've got a centripetal force problem.
 
I don't really have access to a diagram, but basically its a semi-circle, with a marble resting on the side of the bowl. The angle theta is the angle from a line that is straight up from the center of the bowl.
 
Draw a free body diagram for the marble. As functions of theta, what forces act on it? What is the resultant force for equilibrium?