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 22.5 degree with the horizontal. A piece of luggage having mass 30.0 kilogram is located on the carousel, 7.46 meter from the axis of rotation. The travel bag goes around once in 41.0 second. Find the force of static friction between bag and carousel.
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