The Journey of the Solitary Rod

Classical Mechanics Level 4

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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