Simple Harmonic Motion

Introduction to Simple Harmonic Motion

Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement. The equation x(t) = A cos(ωt + φ) represents the displacement of an object undergoing simple harmonic motion at any given time t. In this formula, A represents the amplitude of the motion, ω is the angular frequency, φ is the phase angle, and t is the time variable.

Parameter usage:

• A = amplitude of the motion
• ω = angular frequency
• φ = phase angle
• t = time variable

Output:

• x(t) = displacement at time t

Data Validation

The amplitude, angular frequency, and time should be real numbers. The phase angle should be in radians.

Summary

This formula describes a simple harmonic motion system and calculates the displacement at a given time based on the input parameters.