A bar ABC revolves in a horizontal plane about a vertical axis at the midpoint C (see figure). The bar, which has length 2L and cross-sectional area A, revolves at constant angular speed w. Each half of the bar (AC and BC) has weight W1 and supports a weight W2 at its end.
Derive the following formula for the elongation of one-half of the bar (that is, the elongation of either AC or BC):

in which E is the modulus of elasticity of the material of the bar and g is the acceleration of gravity.

Transcribed Image Text:

L'ω 3gEA