CHAPTER FOUR - Undamped Simple Harmonic Motion

Abstract

This chapter provides an overview of undamped simple harmonic motion. A very common type of motion is the one in which a body vibrates about some mean position. The motion of a mass on a spring, the vibrations of a structure such as a bridge, the motion of the pistons in a reciprocating engine, and the motion of the electric charges in an oscillating circuit are a few examples. In a simple harmonic motion (SHM), a body moves with linear simple harmonic motion if it moves in a straight line with an acceleration proportional to its displacement from the point of equilibrium and always directed toward that point. The period is the time interval between two successive passages through the same phase. In practice, it is usual to measure the time interval between passages in the same direction through the position of equilibrium. The displacement is the change of position of the body measured from the point of equilibrium. Proper regard must be given to sign.