Uploaded June 2020 | Updated September 2026, 12 hours ago

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This video I will go over five example problems using conservation of energy to solve for the kinetic energy, the potential energy, the total energy, the height and velocity of a pendulum.

As the pendulum moves through one cycle kinetic and potential energy are converted back and forth. The total mechanical energy is the sum of the potential energy and the kinetic energy. The total mechanical energy of the pendulum remains constant as it swings back and forth.

A pendulum is a mass suspended from a string that is attached to pivot point. There is no friction so that the pendulum can swing freely. When displaced from the equilibrium position and released the pendulum's mass causes it to oscillate about the equilibrium position, swinging back and forth. The time for the pendulum to complete one complete cycle is called the period. The frequency of the pendulum is the number of cycles the pendulum completes in one second.

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Chapters:
0:00 Pendulum Conservation of Energy, Example Problems
0:30 Maximum velocity from height
5:00 Maximum kinetic energy and height from mass and speed
7:18 Velocity from mass and kinetic energy
8:45 Maximum KE from change in height and mass
11:15 Total mechanical energy from velocity and height