Explanation

The period of a physical pendulum can be expressed in different ways, depending on the physical parameters of the pendulum. The physical pendulum is a rigid body that rotates around a fixed axis, and its period is given by:

• T = 2π√(I/Mgd) : This is the most general expression for the period of a physical pendulum, where I is the moment of inertia of the pendulum about the axis of rotation, M is the mass of the pendulum, g is the acceleration due to gravity, and d is the distance from the axis of rotation to the center of mass of the pendulum.
• T = 2π√(1/x) : This expression is a simplified version of the previous one, where x = (Mgd)/I.
• T = √(4L/g) : This expression is applicable when the physical pendulum is a simple pendulum, where L is the length of the pendulum.