Find out area - moment of inertia of a triangular lamina of base b and heigt h about an axis passing through the centroid

1. A circular disk has a density p(r) which varies as a function of distance from the center of the disk. The disk has a radius R and a thickness t. Assuming p(r) = Po(1-r/R): Calculate the total mass of the disk. a. b. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point G. C. Calculate the moment of inertia of the disk about an axis out of the plane of the page and passing through Point O. G R

Find the centroidal area moment of inertia of the shaded region and the radius of gyration about the z-axis. (All lengths are in mm)