Problem # p050

Moment of Inertia, by Method of Integration

The shaded area shown to the right is bounded by the curve :

y = b*(x/a)²

Determine :

  1. the area A
  2. the y-coordinate of the centroid (=c)
  3. the moment of inertia with respect to the x-axis.
  4. the central moment of inertia using the result from 1), 2), 3), and the parallel axis theorem.