in case of vibrating pendulum, the potential energy is maximum at

Explanation

Understanding Potential Energy:Potential energy is the energy an object possesses due to its position in a conservative force field (like gravity in this case).As the object moves away from its equilibrium position (mean position), the potential energy increases because it stores more gravitational potential due to its increased height.Conversely, as the object moves closer to its equilibrium position, the potential energy decreases.Applying to Vibrating Pendulum:A vibrating pendulum oscillates about its mean position.At the extreme positions (maximum displacement from the mean position), the pendulum is farthest from its equilibrium point and therefore has the highest potential energy due to its maximum height relative to the mean position.As the pendulum swings towards the mean position, its potential energy gradually decreases until it reaches a minimum value at the mean position.