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Oscillations and waves (Essentials) - Class 11th 3 units · 23 skills. Unit 1 Welcome to oscillations & waves. Unit 2 How does mass of an attached object affect the motion of a spring? Unit 3 How do we know that the universe is expanding? Course challenge.
This course begins with the mathematical description of simple oscillating systems such as a mass on a spring or a simple pendulum. We study the behaviour of such systems with and without damping, and when subjected to a periodic external force. We then study coupled oscillators: several masses connected by springs, or beads on an elastic string.
Lecture 1: Mathematical Modeling and Physics (PDF) Lectures 2–3: Simple Harmonic Oscillator, Classical Pendulum, and General Oscillations (PDF) Lecture 4: Damped Oscillations (PDF)
Learn about the properties and applications of these rhythmic movements, including simple harmonic motion, pendulums, and waves. Explore the key concepts and equations behind oscillations and their relevance to real-world phenomena.
The angular frequency \(\omega\), period T, and frequency f of a simple harmonic oscillator are given by \(\omega = \sqrt{\frac{k}{m}}\), T = 2\(\pi \sqrt{\frac{m}{k}}\), and f = \(\frac{1}{2 \pi} \sqrt{\frac{k}{m}}\), where m is the mass of the system and k is the force constant.
Introduction to Oscillations and Waves covers the basic mathematics and physics of oscillatory and wave phenomena. By the end of the course, students should be able to explain why oscillations appear in many near equilibrium systems, the various mathematical properties of those oscillations in various contexts, how …. Show more.
By studying oscillatory motion and waves, we shall find that a small number of underlying principles describe all of them and that wave phenomena are more common than you have ever imagined. We begin by studying the type of force that underlies the simplest oscillations and waves.
