From what I understand, the static friction is usually what "supplies" the centripetal force, and causes radial acceleration.
I do not have it narrowed down to much unfortunately, I'm not sure if it would be normal to the path or just completely parallel to the path of the dome possibly.
So the only problem I am having is determining the direction of static friction. I did the same problem but while they were going in a vertical circular motion instead, where the static friction force was in the direction of centripetal force (pointing to the center of the circle).
Would it be...