Lecture

Harmonic Oscillators: Energy and Motion

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Description

This lecture covers the concept of harmonic oscillators, focusing on the energy involved in non-damped oscillations. It explains the relationship between potential and kinetic energy in the context of a spring-based harmonic oscillator. The lecture also delves into the conditions for an oscillator to exhibit harmonic motion, using examples like a simple pendulum to illustrate the theoretical concepts discussed.

Official source

Ontological neighbourhood

Physics

Mechanics: Classical mechanics

Related concepts (32)

Harmonic oscillator

In classical mechanics, a harmonic oscillator is a system that, when displaced from its equilibrium position, experiences a restoring force F proportional to the displacement x: where k is a positive constant. If F is the only force acting on the system, the system is called a simple harmonic oscillator, and it undergoes simple harmonic motion: sinusoidal oscillations about the equilibrium point, with a constant amplitude and a constant frequency (which does not depend on the amplitude).

Simple harmonic motion

In mechanics and physics, simple harmonic motion (sometimes abbreviated ()) is a special type of periodic motion an object experiences due to a restoring force whose magnitude is directly proportional to the distance of the object from an equilibrium position and acts towards the equilibrium position. It results in an oscillation that is described by a sinusoid which continues indefinitely (if uninhibited by friction or any other dissipation of energy).

Oscillation

Oscillation is the repetitive or periodic variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states. Familiar examples of oscillation include a swinging pendulum and alternating current. Oscillations can be used in physics to approximate complex interactions, such as those between atoms.

Energy policy

Energy policy is the manner in which a given entity (often governmental) has decided to address issues of energy development including energy conversion, distribution and use as well as reduction of greenhouse gas emissions in order to contribute to climate change mitigation. The attributes of energy policy may include legislation, international treaties, incentives to investment, guidelines for energy conservation, taxation and other public policy techniques. Energy is a core component of modern economies.

Energy

In physics, energy () is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed. The unit of measurement for energy in the International System of Units (SI) is the joule (J).

Related lectures (64)

Conservation of Mechanical Energy

Explores the conservation of mechanical energy and its application in solving physics problems involving work, stability, and energy transformations.

Energy-Work-Power: Concepts and Calculations

Explains the concepts of energy, work, and power, including kinetic and potential energy calculations and the independence of paths.

Mechanical Energy: Equilibrium and Oscillations

Explores mechanical energy, equilibrium, and small oscillations in rectilinear motion.

Energy: Examples, Summary, CMS

Covers examples of energy, efficiency, and conservation of mechanical energy, with exercises on kinetic energy and power.

Energy, Damped and Driven Oscillators