In a new ski jump event, a loop is installed at the end of the ramp as shown in Figure. This problem addresses the physical requirement such an event would place on the skiers. Neglect friction.

(a) Along the track of the ramp and the loop, where do the legs of the skier have to support the maximum weight?

(b) If the loop has a radius R, where should the starting gate (indicated by h) be placed so that the maximum force on the skier's legs is 4 times the skier's body weight?

(c) With the starting gate at the height found in part (b), will the skier be able to make it completely around the loop? Why or why not?

(d) What is the minimum height h such that the skier can make it around the loop? What is the maximum force on the skier's legs for this height?

Starting gate