# Genius Insect!

A Thin rod of length $$l$$ is hinged at the center. An insect falls on it from a height $$h$$. The distance of the impact point is $$l/4$$ from the center.
Apparently, the insect is a Genius. To avoid much dizziness, it devices a method to make the rod rotate at constant angular velocity. The insect starts crawling towards the outer edge of the rod.

Find the height $$h$$ from which the insect drops, such that by the time the rod becomes vertical, the insect reaches the outer edge.

Details and Assumptions:

• $$l = 5m$$
• $$g=9.8m/s^2$$
• The mass of the insect is equal to the mass of the rod
• Neglect air resistance and friction due to the rod.
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