A parabolic slot has been cut in plate AD, and the plate has been placed so that the slot fits two fixed, frictionless pins B and C. The equation of the slot is 2/y=x/4, where x and y are expressed in inches. Knowing that the maximum allowable force exerted on the roller at D is 2 lb, determine

(a) The corresponding magnitude of the input force P,

(b) The force each pin exerts on the plate.