A uniform plate of height = 1.80 m is cut in the form of a parabolic section. The lower boundary of the plate is defined by: = 1.20 . The plate has a mass of 1.29 kg. Find the moment of inertia of the plate about the y-axis.

Answer 1

You need to clarify this statement:
<The lower boundary of the plate is defined by: = 1.20 . >
and somehow establish the width X of the parabola at the open end.
The moment of inertia will be some fraction of M X^2 that can be established by calculus.

Answer 2

it is defined by y=1.20x^2.