Use the result of Exercise 77 to find the curvature K of the cycloid represented by the parametric equations

What are the minimum and maximum values of K?

Data from in Exercise 77

For a smooth curve given by the parametric equations x = ƒ(t) and y = g(t), prove that the curvature is given by

Transcribed Image Text:

x(0) = a(0 sin ) and y(0) - = a(1 - cos 0).