A homogeneous rod of length L=1.8 m and mass M is pivoted at the centre O in such a way that it can rotate freely in the vertical plane as shown fig. The rod is initially in the horizontal position. An insect S of the same mass M falls vertically with speed V on the point C, midway between the point O & B. Immediately after falling the insect moves towards the end B such that the rod rotates with constant angular velocity omega

A homogeneous rod of length L=1.8 m and mass M is pivoted at the centr

1.	A homogeneous rod of length L=1.8 m and mass M is pivoted at the centre O in such a way that it can rotate freely in the vertical plane as shown fig. The rod is initially in the horizontal position. An insect S of the same mass M falls vertically with speed V on the point C, midway between the point O & B. Immediately after falling the insect moves towards the end B such that the rod rotates with constant angular velocity omega
Answer» The VELOCITY `omega` in terms of V & L `=(12V)/(7L)` The velocity `omega` in terms of V & L `=(5V)/(7L)` If the insect reaches the end B when the rod has turned through an ANGLE of `90^(0)`, The value of `V=3.5` m/sec If the insect reaches the end B when the rod has turned through an angle of `90^(0)` , The value of V=7 m/sec ANSWER :A::C