A **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.

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

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

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

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

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