A homogeneous rod AB of length L = 1.8 m and mass M is pivoted at the center O  in
Channel: Doubtnut
Date: 2020-07-12

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.