The motion of a particle moving along a straight line with an acceleration whose direction is always towards a fixed point on the line and … See more

In Newtonian mechanics, for one-dimensional simple harmonic motion, the equation of motion, which is a second-order linear ordinary differential equation with constant coefficients, can be obtained by means of Newton's 2nd law and Hooke's law See more

• Newtonian mechanics
• Small-angle approximation
• Lorentz oscillator model
• Rayleigh–Lorentz pendulum
• Isochronous See more

• Simple Harmonic Motion from HyperPhysics
• Java simulation of spring-mass oscillator
• Geogebra applet for spring-mass, with 3 attached PDFs on SHM, driven/damped oscillators, spring-mass with friction See more

Substituting ω with ⁠k/m⁠, the kinetic energy K of the system at time t is See more

The following physical systems are some examples of simple harmonic oscillator.
Mass on a spring
A mass m attached to a spring of spring constant k exhibits simple harmonic motion in closed space. The equation for describing the period See more

1. ^ The choice of using a cosine in this equation is a convention. Other valid formulations are: $${\displaystyle x(t)=A\sin \left(\omega t+\varphi '\right),}$$ where $${\displaystyle \tan \varphi '={\frac {c_{1}}{c_{2}}},}$$ since cos θ = sin(⁠π/2⁠ − θ). See more