Question

Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. Determine the moments of inertia and the product of inertia of the area with respect to new centroidal axes obtained by rotating the x and y axes through 30o clockwise

Answer 1

Answer:

this may help you mate

Parallel Axis Theorem: The moment of inertia about a given point is equal to the sum of the moment of inertia of the area about its centroidal axis and the multiplication of area of the section and the distance from the axis to the centroid of the section.

Answer 2

Answer:

the moment if inertia about a given pt. is = to the sum of moment of inertia of area about its Centroidal axis and multiplication of area of section and distance from axis to centroid of section