The principal moments of inertia are always positive. O True O False

1. Find the moment of inertial of the rectangular area of Figure 1.0 about the centroidal x and y axes. dA Figure 1.0 Figure 2.0 2. Find the moment of inertia of a triangular are in Figure 2.0 about the y - axis. 3. Find the moment of inertia of the area bounded by the cubic parabola a?y = x , the y - axis and the line y = 8a with respet to y – axis. (A = 12a?) 4. Solve QUESTION No. 4 by another method. 5. The moment of inertia with respect to its axis of the solid generated by the revolving an 3V arch of y = sin 3x about the x- axis is Ix Find the moment of inertia of solid 16 8 with respect to the line y = 2.

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Derive inertia moments from a triangle graph