Question

Moment of inertia question.

Answer 1

We have a square plate whose moment of inertia is to be calculated about the axis passing through its one vertex and in the plane of paper making an angle of 15° with the horizontal line passing through centre of square plate.

Answer 2

@irishboy123

Answer 3

difficult to visualise?

Answer 4

First, I'll show that if an axis passes through the center of the square, then its moment of inertia is \(\frac{Ma^2}{24}\). Clearly, the two axes are kinda identical in a way, so their moments of inertia will be the same. They'll also add up to \(\frac{Ma^2}{12}\) because that's the perpendicular-axes theorem. So each would be \(\frac{Ma^2}{24}\).

Now take your axis and find its distance from the center. Then apply the parallel-axis theorem to complete your problem.