Lecture Note (Click To Open) (Video Lecture of Lecture Note) (CC)

Learning Objectives:

After the completion of this section, you will be able to

set up an equation of simple harmonic motion.
describe the amplitude, period, and frequency of simple harmonic motion.

Study Tips:

This section is a simple application of sine and cosine function in a real-life situation. Once you understand the notion of simple harmonic motion, you will be able to read the lecture note easily.

Key Points:

If the equation describing the displacement LaTeX: y of an object at time LaTeX: t is either $LaTeX: y=a\:\sin\omega t$ or $LaTeX: y=a\:\cos\omega t,\:\omega>0$ then the object is in simple harmonic motion. In this case,

Amplitue $LaTeX: =\left|a\right|$ : Maximum displacement of the object

Period $LaTeX: =\frac{2\pi}{\omega}$ : Time required to complete one cycle

Frequency $LaTeX: =\frac{\omega}{2\pi}$ : Number of cycles per unit of time