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21 February

Simple Harmonic Motion perspectives

Seng Kwang Tan 10 Oscillations, GeoGebra 0 Comments

This is a common example used in the JC1 topics of Oscillations, where if one were to look at an object moving in circles from the side view, it will appear to move in simple harmonic motion. This simple 3D animation allows users to rotate the view to see exactly that. Right click and drag to rotate the view. If you are using a mobile device, use two fingers to drag.

To access the animation in full screen, visit https://www.geogebra.org/m/tsz95u6p

30 August

Simple Harmonic Motion Graphs

Seng Kwang Tan 10 Oscillations, GeoGebra 0 Comments

Here’s my attempt at animating 5 graphs for simple harmonic motion together in one page.

From left column:

$$v = \pm\omega\sqrt{x_o^2-x^2}$$

$$a = -\omega^2x$$

From right column:

$$s = x_o\sin(\omega t)$$

$$v = x_o\omega \cos(\omega t)$$

$$a = -x_o\omega^2 \sin(\omega t)$$

And here is the animated gif file for powerpoint users:

Simple harmonic motion graphs - displacement-, velocity-, acceleration- time graphs and more