Question

What is moment of inertia of a rod of mass m,length l aboutan axis perpendicular to it?

Answer 1

What is the moment of inertia of a rod length l and mass m about an axis perpendicular to the axis of the rodand a distance A from one end of therod.

Answer 2

The moment of Inertia of a rod from any length h from one end of the rod is given by

I = M(L² – 3Lh + 3h²) / 3

Here I = moment of Inertia of rod.

          M - mass of the rod = m

          L = Length of rod = l

          h = distance from axis of rotation one end of rod.

In our case, the rod is moving from axis which is one end of the rod and perpendicular to axis.  

Hence h = 0.

Moment of inertia rod end  = I = ml²/3