G2 4r/3r r = 10 mm 2 (1) G, 25 mm M 20 mm

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

Determine the moment of inertia of the shaded region about the x and y axis using parallel axis theorem. And also find the polar moment of inertia and the radius of gyration.

Area -2 A = Moment of Inertia 6 Consider the composite shape shown. Grid units are [m]. Determine the total area of the shape, and its Moment of Inertia and Radius of Gyration with respect to the x-axis. I₂ Radius of gyration k₂ 4- 2- 0