Browse Questions

# Moment of inertia of a uniform rod of length L and mass M, about an axis passing through $L/4$ from one end and perpendicular to its length is

$\begin {array} {1 1} (a)\;\frac{7}{36}\;ML^2 & \quad (b)\;\frac{7}{48}\;ML^2 \\ (c)\;\frac{11}{48}\;ML^2 & \quad (d)\;\frac{Ml^2}{12} \end {array}$

$I= I_{cm}+M (\frac{l}{4})^2$
$\quad= \large\frac{Ml^2}{12}+\frac{Ml^2}{16}$
$\quad =\large\frac{4Ml^2+3Ml^2}{48}$
$\quad= \large\frac{7ml^2}{48}$