# The uniform slender rod of length L, mass m, and cross-sectional area A is rotating in a horizontal plane about

## Question:

The uniform slender rod of length L, mass m, and cross-sectional area A is rotating in a horizontal plane about the vertical central axis O-O at a constant high angular velocity ω. By analyzing the horizontal forces on the accelerating differential element shown, derive an expression for the tensile stress α in the rod as a function of r. The stress, commonly referred to as centrifugal stress, equals the tensile force divided by the cross-sectional area A.

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**Related Book For**

## Engineering Mechanics Dynamics

**ISBN:** 9781118885840

8th Edition

**Authors:** James L. Meriam, L. G. Kraige, J. N. Bolton

**Question Details**

Chapter #

**3**Section: Problem

Problem: 92

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