One small part of a construction project involves a metal rod spanning 20 metre gap with the rod resting on supports at each end. the rod which is not uniform is expected to sag somewhat under its own weight. The function for the shave of the curve the rod will form is y=(x/50000)(20-x)(x-50) for 0

Question

One small part of a construction project involves a metal rod spanning 20 metre gap with the rod resting on supports at each end. the rod which is not uniform is expected to sag somewhat under its own weight. The function for the shave of the curve the rod will form is y=(x/50000)(20-x)(x-50) for 0< or equal to x < or equal to 20. Show clearly the use of calculus to determine the maximum sag in the rod to the nearest millimetre and where it occurs from the origin to the nearest cm

anonymous · Answer

at max sag, dy/dx = 0 as the rod  will be horizontal at that point..

find x for which dy/dx = 0