[QUE/ME-08008] ME-PROBLEM

A conical pendulum moves in a circular path of radius \(a\) and string making an angle \(\alpha\) with vertical.

• Working in the inertial frame, draw a diagram showing the forces acting on the pendulum and prove that the angular frequency \(\omega\) is given by \[ \omega= \sqrt{\frac{g}{L\cos\alpha}}\]
• Draw the all forces acting on the pendulum as seen from the rotating frame in which the pendulum is at rest. Is the resultant of all forces is zero or not? If it is not zero, how do you explain that the pendulum is at rest in the rotating frame? Give a complete answer. [10+10]