question_answer

What is the maximum possible velocity at the lowest position for oscillation of a simple pendulum of length L. What can happen to the motion if the velocity exceeds this value?

Answer:

                The maximum possible velocity at the lowest point for oscillation of simple pendulum \[=\sqrt{3gL.}\] When velocity exceeds \[\sqrt{3gL}\] but is less than \[\sqrt{5gL,}\], the bob leaves the vertical circle. When \[\upsilon =\sqrt{5gL,}\], the bob completes the vertical circle.