The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is $0_{0}$ . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is :
$0_{0} + \frac{M L^{2}}{2}$
$0_{0} + \frac{M L^{2}}{4}$
$0_{0} + 2 M L^{2}$
$0_{0} + M L^{2}$

Question

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is $0_{0}$ . Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is :
$0_{0} + \frac{M L^{2}}{2}$
$0_{0} + \frac{M L^{2}}{4}$
$0_{0} + 2 M L^{2}$
$0_{0} + M L^{2}$

Toppr Admin · Accepted Answer

Using Parallel Axis Theorem-xA0-Moment of inertia about an axis-xA0-passing through one of the rod ends-E- and-xA0-perpendicular to its length -xA0-moment of inertia of a about an axis passing-xA0-through its midpoint -o-xA0-and perpendicular to its-xA0-length-xA0- -total mass of the rod -xD7- square of-xA0-distance between points o and E-x2234-IE-Io-M-L2-2-00-ML24

The moment of inertia of a thin uniform rod of mass M and length L about an axis passing through its midpoint and perpendicular to its length is 00. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is :00+ML2200+ML2400+2ML200+ML2