Solved Example Problems for Moment of Inertia of a Uniform Rod

Solved Example Problems for Moment of Inertia of a Uniform Rod

Example 5.14

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.

Solution

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