Laws of pendulum

  • The laws of a Simple Pendulum describe the behavior of a pendulum undergoing Simple Harmonic Motion (SHM). 
  • A simple pendulum is a mass (called the bob) attached to a string or rod, which is hung from a pivot point. 
  • The following are the laws of a Simple Pendulum:

Law of Periodicity: 

  • The time period of a simple pendulum is independent of its amplitude (the maximum angle of displacement from its equilibrium position) and is solely dependent on its length. 
  • This means that the time it takes for a pendulum to complete one full cycle of its motion is constant, regardless of the angle of displacement.


Law of Isochronism: 

  • The time period of a simple pendulum is the same for small angles of displacement, regardless of the amplitude. 
  • This means that the time it takes for a pendulum to complete one full cycle of its motion is the same for small angles of displacement, regardless of the size of the displacement.


Law of Restoring Force: 

  • The restoring force acting on a simple pendulum is proportional to its displacement from its equilibrium position and always directed towards it. 
  • This means that the force that tries to restore the pendulum to its equilibrium position increases as the pendulum moves further away from it.