Auniform chain of weight under gravity. prove, with the usual notation, that w per unit length hangs freely =c sec s c tan /, y a length 21 of this chain hangs symmetrically between fixed points a, b and supports a weight wl at its mid-point m. given that the chain at m is inclined at 30° to the horizontal, show that the depth of m below ab is /(/3 - 1), and find the distance ab