| 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 |
Equations of Simple Harmonic Motion
Mass on a Spring
Objective 1: To understand the derivation of the period and frequency equation for a mass on a spring
Objective 2: To be able to state the dependent variables for the period and frequency of a mass on a spring
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:
