10 Oscillations

Simple Harmonic Motion Graphs

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

Box on a Vertical Oscillating Spring – Geogebra App

GeoGebra link: https://www.geogebra.org/m/ev62ku7w

Students can explore how varying frequency and amplitude of the vertical oscillation of a platform could cause an object resting on it to temporarily leave the platform (i.e. when normal contact force is zero).

Velocity-Displacement Graph of a Simple Harmonic Oscillator – Animation

This animation is made using Geogebra. It shows the instantaneous velocity and displacement vectors of a particle undergoing simple harmonic motion while tracing its position on the velocity-displacement graph. It is meant to help student understand why the graph is an ellipse.

Phase Difference Simulation

I created this simulation for use later this semester with my IP4 classes, to illustrate the concept of phase difference between two oscillating particles.

 

https://ejss.s3-ap-southeast-1.amazonaws.com/phasedifference_Simulation.xhtml

Update (26 August 2020): I have also created a GeoGebra app to demonstrate the same principle.

LEGO Pendulum Clock to Demonstrate Oscillation Concepts

This is the Pendulum Clock from the LEGO Education Simple and Powered Machines Set. It can be used to demonstrate the variation of period with length of pendulum and is a very good visual representation of the escapement mechanism.

There are many other models that one can build using this set, including a weighing scale, elastic energy powered car, etc. All with potential for class demonstrations.

You can buy a set from Duck Learning in Singapore at (S$329.75), an exclusive distributor of LEGO Education products in Singapore. If you are purchasing in bulk for your school, you may want to contact them directly for a package deal. You can also purchase them from overseas sites such as Bricklink.com if you can find them at a better price.