A throwing toy is molded of uniform foam. It consists of an oblong-shaped portion, a cylindrical portion, and four rectangular fins. The density of the oblong and cylindrical shapes is 100 kg/m3, and each of the fins have 1.8×10-3 kg mass.
(a) Fully set up the integral, including limits of integration, that will yield the mass moment of inertia about the x axis for the oblong-shaped portion.
(b) Evaluate the integral obtained in Part (a) using computer software such as Mathematica, Maple, etc.
(c) You should find the result of Part (b) to be 79:8 kg·mm2. Using this value, determine the total mass moment of inertia about the x axis for the toy.
