`a_x = -omega^2 * x`

Enter a value for all fields

This equation computes the linear acceleration in the x-direction of a simple harmonic oscillator.

When the restoring force is directly proportional to the displacement from equilibrium, the oscillation is called Simple Harmonic Motion (SHM).

Inputs

• `omega` - mass of the oscillating object
• x - displacement distance of the oscillating object; displacement of point P

Derivation

Since the restoring of force of a simple harmonic oscillator is given by `F_x = k*x` ^{[ 1 ]} , then also `F_x = m * a_x`, and so

     `a_x = F_x / m = (-k*x) / m`

Sources

Young, Hugh and Freeman, Roger.  University Physics With Modern Physics.  Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 421, eq 13.4

1. ^ Young, Hugh and Freeman, Roger.  University Physics With Modern Physics.  Addison-Wesley, 2008. 12th Edition, (ISBN-13: 978-0321500625 ISBN-10: 0321500628 ) Pg 421, eq 13.3