![]() ![]() The general form of the moment of inertia involves an integral. The moment of inertia of any extended object is built up from that basic definition. Our required moment of inertia about the x-axis will be the summation of these two items, the first item is Ixg=0.0072+ A*y̅^2, which is =0.0216 adding both will give us 0.0288 m4. The moment of inertia of a point mass with respect to an axis is defined as the product of the mass times the distance from the axis squared. For item A* y^2, we have A=b*h, and y̅ =h/2 All raised to the power of 2. We have to add the product of area multiplied by y^2, first our Ix g=b*h^3/12= (0.40*0.60^3/12, which will give us 0.0072 m4. We have, for the moment of inertia about the CG, for a rectangle section, we have b* h^3/12. As we know that I x = the Ixg+ the area *(y^2). We want to estimate the moment of inertia at the y-axis and the radius of gyration for the y-axis. IX, Kx, the radius of gyration at the x-axis, and b. It is required to estimate the following for the given rectangle. This rectangle is apart from the y-axis by a distance of 0.20 m. with width=0.40m. And the height is 0.60 m. We have x and y axes, but we have a rectangular section. ![]() We will solve our first problem, problem # 1. The First solved problem for a given rectangle. ![]()
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