Chapter 6, Problem 5P

The “Giant Swing” at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. (See Figure 6.28.) Each arm supports a seat suspended from a 5.00-m-long rod, the upper end of which is fastened to the arm at a point 3.00 m from the central shaft. (a) Make a free-body diagram of the seat, including the person in it. (b) Find the time of one revolution of the swing if the rod supporting the seat makes an angle of 30.0° with the vertical. (c) Does the angle depend on the weight of the passenger for a given rate of revolution?

Figure 6.28 Problem 5.