Sinusoidal Functions in SHM Explained Simply [IB Physics HL/SL]

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Struggling to understand Simple Harmonic Motion (SHM) and sinusoidal functions? In this video, we break down one of the most important IB Physics concepts in the easiest way possible! Learn how to extract velocity directly from graphs, understand angular frequency, amplitude, and phase shift, and apply formulas step-by-step like a pro. Whether you're an HL or SL student, this lesson will boost your confidence and help you solve SHM questions faster! 📈🔥

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In This Video:

Introduction to Simple Harmonic Motion (SHM) Part 3
Understanding sinusoidal functions in SHM
How to read displacement vs time graphs
Finding velocity using SHM formulas
Angular frequency (omega) explained simply
Relationship between frequency and omega (2πf)
Understanding amplitude and displacement
Solving real SHM numerical problems step-by-step
Parameters of sinusoidal functions (amplitude, period, phase shift)
How omega affects period and frequency
Phase shift explained with graphical intuition
Using calculus (derivatives) to find velocity
Applying cosine function for velocity in SHM

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Important Timestamps:

00:00:00 – Introduction to SHM Part 3
00:00:16 – Sinusoidal functions explained
00:00:47 – Understanding displacement-time graph
00:01:09 – Choosing the correct formula for velocity
00:02:09 – Calculating angular frequency (omega)
00:03:00 – Finding amplitude from graph
00:03:20 – Substituting values to find velocity
00:04:00 – Final velocity answer explanation
00:04:43 – Sinusoidal function parameters overview
00:05:01 – Amplitude explained with graphs
00:06:00 – Understanding omega and period
00:08:00 – Frequency vs period relationship
00:08:26 – Phase shift explained visually
00:12:00 – Applying SHM in physics problems
00:13:00 – Finding amplitude and omega from function
00:14:00 – Phase shift calculation methods
00:16:33 – Using derivatives to find velocity
00:18:00 – Final numerical solution
00:19:00 – Conclusion and recap

What You’ll Learn in This Video

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By the end of this video, you will clearly understand how sinusoidal functions describe motion in SHM. You’ll learn how to extract key parameters like amplitude, angular frequency, and phase shift directly from graphs and equations. You’ll also see how to calculate velocity using both standard physics formulas and calculus methods, making you fully prepared for IB Physics exam questions.

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