A luggage carousel at an airport has the form of a section of a large cone, steadily rotating about its vertical axis. Its metallic surface slopes downward toward the outside, making an angle of 18.0° with the horizontal. A 22.0 kg piece of luggage is placed on the carousel, 6.50 m from the axis of rotation. The travel bag goes around once in 46.0 s. (a) Calculate the force of static friction between the bag and the carousel.