In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a large cone, steadily rotating about its vertical axis. its surface slopes downward toward the outside, making an angle of 18.0° with the horizontal. a travel bag having mass 30.0 kg is placed on the carousel at a position 7.46 m measured horizontally from the axis of rotation. the travel bag goes around once in 42.0 s. calculate the force of static friction exerted by the carousel on the travel bag. (give the magnitude of your answer in n.)