The maximum displacement of a vibrating body on either side of its mean position is known as its

amplitude

The maximum displacement of a vibrating body on either side of its mean position is known as its amplitude. The amplitude is a measure of the intensity or strength of the vibrations and is usually determined by measuring the distance between the mean position and the extreme positions of the vibrating body.

To determine the amplitude of a vibrating body, you can follow these steps:
1. Identify the mean position: This is the equilibrium or resting position of the vibrating body. It is the position where the vibration starts before moving in either direction.
2. Measure the extreme positions: Move the vibrating body from its mean position towards one side until it reaches the point where it stops and begins moving in the opposite direction. Measure the distance from the mean position to this extreme position. Repeat this process for the other side of the mean position.
3. Calculate the amplitude: The amplitude is equal to half of the total distance between the extreme positions. In other words, you can average the distances measured on either side of the mean position by taking half the sum of their magnitudes.

By following these steps, you can determine the maximum displacement or amplitude of a vibrating body.