Dissertation |

SHM Properties | SHM Applications | SHM Relations | SHM Graphs | Graphical Relations | SHM and Circular Motion | SHM Equations | Simple Pendulum | Simple Pendulum Graph | Simple Pendulum Equations | SHM Assessment |

## 1. Newton's Second Law combined with Hooke's Law

## F = ma = kr

## 2. Solve for acceleration a

## a = kr/m

## 3. Equate to the corresponding acceleration in circular motion

## a = kr/m =

w^2r## 4. Solve for

w,this gives the angular frequency equation

w= Square root (k/m)

## Angular Frequency Equation of SHM for a mass on a spring:

## Period Equation of SHM for a mass on a spring: