# Period of vibration

## Homework Statement

The slender rod AB of weight $$W_{AB}$$ is attached to two identical collars, each of weight $$W$$. The system lies in a horizontal plane and is in equilibrium in the position shown when the collar A is given a small displacement and released. Calculate and plot the period of vibration for values of the angle β from 10 to 80 degrees for weight ratios $$\frac{W}{W_{AB}}$$ of 0, 2, and 4.

I'm looking for help as to how to set the problem up that's all! Any help is appreciated!

## The Attempt at a Solution

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