Simple Harmonic Motion (SHM) Simulator

SHM is a type of periodic motion where an object oscillates about an equilibrium position.

Theory & Definitions

What is SHM? Simple Harmonic Motion is characterized by a restoring force that is directly proportional to the displacement from its equilibrium position and acts in the opposite direction, resulting in smooth oscillations.

Key Formulas:

• Displacement=> x(t) = sin(omega t )
• Acceleration=> a(t) = - omega^2 x(t) or -Aomega²sin(omegat)
• Angular Frequency (W)=> W = 2π/T
• Time Period=> T = 2π/W

Parameter Definitions:

• Amplitude (A): The maximum displacement from the equilibrium position.
• Frequency (f): The number of oscillations per unit time.
• Damping (γ): A factor representing energy loss (like friction), which reduces the amplitude over time.

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