Answer to Question #281891 in Mechanical Engineering for shubham

Question

Determine the center of gravity and area moment of inertia about centroidal axes of shaded area as shown in Figure 1

Answer 1

The center of gravity of a triangle is in the center of the inscribed circle. For an equilateral triangle of side length a with the base along the x-axis so that the y-axis passes through the upper vertex, the center of gravity is at

$$y_c=\frac{a\sqrt3}6{},x_c=0.$$