a chain hangs in the form given as y=40ch x/40, determine the values of y when x=25 and the value of x when y=54.30

Question

hyperbolic function

Answer 1

y=40cosh(x/40)=48.07 approx.

54.30=40cosh(x/40), cosh(x/40)=1.3575, x/40=0.82222 so x=32.89 approx.