engineering recuitment Indian Coast Guard Yantrik Mock Test 2024 Engineering Mechanics Moment of Inertia and Centroid
A circular lamina of radius R has a surface density \(\frac{{K\;{r^3}}}{\pi }\) at a distance r from its centre. Its moment of inertia about an axis passing through its centre, perpendicular to its plane is ____
1
\(\frac{{K\;{R^5}}}{6}\)
2
\(\frac{{2\;K\;{R^5}}}{5}\)
3
\(\frac{{2\;K\;{R^7}}}{7}\)
4
\(\frac{{\;K\;{R^7}}}{7}\)