# The Journey of the Solitary Rod

**Classical Mechanics**Level 4

**uniform**rod of mass \(\displaystyle M\) and length \(\displaystyle L\) is released from the position as shown. A

**slight**disturbance causes the rod to start its journey to the floor.

When the rod makes an angle \(\displaystyle \theta\) with the **horizontal**, find the angular speed of the rod (in \(\displaystyle \frac{rad}{s}\)), to the nearest **integer**.

**Details and Assumptions:**

\(\bullet\) The floor is smooth and frictionless.

\(\bullet\) \(\displaystyle M = 10Kg\)

\(\bullet\) \(\displaystyle L = 2m\)

\(\bullet\) \(\displaystyle g = 9.8 m/s^2\)

\(\bullet\) \(\displaystyle \theta = 30^o\)