The man A has weight { W }_{ A } and jumps from rest onto a platform P that has weight { W }_{ P } . The platform is mounted on a spring, which has stiffness k. If the coefficient of restitution between the man and the platform is e, and the man holds himself rigid during the motion, determine the required height h of the jump if the maximum compression of the spring becomes δ. Given: { W }_{ A } = 100 lb , { W }_{ P } = 60 lb , δ = 2 ft , k = 200 lb/ft , g = { 32.2ft/s }^{ 2 } , e = 0.6