For the composite object below (figure not to scale), the top triangle is made of titanium (density -4540 kg/m³), the middle rectangle is made of stainless steel (density ~7700 kg/m³), and the bottom half-circle is made of tungsten (density ~19450 kg/m³). The object has a thickness of 5 mm, and the semiminor axis of the elliptical hole is 30 mm. (a) Find the center of gravity of the object. (b) Find the mass moment of inertia about an axis perpendicular to the page and passing through the center of gravity.

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.