Find the moment of inertia of a uniform rod about an axis which is perpendicular to the rod and touches any one end of the rod.

Explanation

The concepts to form the integrand to find the moment of inertia are to be followed. Now, the origin is fixed to the left end of the rod and limits are to be taken from 0 to `l`.

`I=(M)/(l)int_(0)^(l)x^(2)dx=(M)/(l)[(x^(3))/(3)]_(0)^(l)=(M)/(l)[(l^(3))/(3)] I=(1)/(3)Ml^(2)`