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A homogeneous rod AB of length L = 1.8 m...

A homogeneous rod AB of length L = 1.8 m and mass M is pivoted at the center O in such a way that it can rotate it can rotate freely position. An insect S of the same mass M falls vertically with speed V on the point C, midway between the points O and B. Immediately after falling, the insect moves towards the end B such that the rod rotates with a constant angular velocity omega.
(a) Determine the angular velocity `omega` in terms of V and L.
(b) If the insect reaches the end B when the rod has turned through an angle of `90^@`, determine V.

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