# rotating rod

## Solution to Problem 218 Axial Deformation

**Problem 218**

A uniform slender rod of length L and cross sectional area A is rotating in a horizontal plane about a vertical axis through one end. If the unit mass of the rod is ρ, and it is rotating at a constant angular velocity of ω rad/sec, show that the total elongation of the rod is ρω^{2} L^{3}/3E.