What is Simply Harmonic motion?
Simple harmonic motion is the motion of a simple harmonic oscillator, a motion that is neither driven nor damped. The motion is periodic, as it repeats itself at standard intervals in a specific manner – described as being sinusoidal, with constant amplitude. It is characterized by its amplitude (which is always positive), its period which is the time for a single oscillation, its frequency which is the number of cycles per unit time, and its phase, which determines the starting point on the sine wave. The period, and its inverse the frequency, are constants determined by the overall system, while the amplitude and phase are determined by the initial conditions (position and velocity) of that system. Simple harmonic motion is defined by the differential equation m\frac{d^2 x}{dt^2} = -kx , where “k” is a positive constant, “m” is the mass of the body, and “x” is its displacement from the mean position. In words, simple harmonic motion is “motion where the force acting on a body and the
