# Rotating Rod

A uniform rod of mass $$m = 2015.2016 \text{ gm}$$ is placed on a rough table with $$\dfrac13$$ of its portion on the table. A point mass of equal mass is attched to its end that is in air. Then the system is left alone.

Observation: We see that the rod starts sliding when it makes an angle $$\theta$$ with the horizontal (measured clockwise).

What is the coefficient of friction $$\mu$$ of the table.

Details and Assumptions:

• The length of the rod is $$L = 2016.2017\text{ cm}$$.

• Given, $$\tan\theta = \dfrac {1}{12}$$.

• The point mass is attached to the right end of the rod.

• Take $$g = 9.8\text{ m/s}^2$$.