Lecture

Mechanics: Famous Experiments and Coupled Harmonic Oscillators

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 two famous experiments in mechanics: the recoil effect and distinguishing between external and internal forces. It also delves into the study of coupled harmonic oscillators, explaining the symmetrical and antisymmetrical modes of oscillation and their mathematical representations. The instructor demonstrates a spectacular experiment involving creating a vacuum in a tube and launching a ping-pong ball at high speed. The lecture concludes with a slow-motion analysis of the collision between the ball and a membrane, showcasing the impact dynamics.

Official source

Related concepts (32)

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.

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).

Electronic oscillator

An electronic oscillator is an electronic circuit that produces a periodic, oscillating or alternating current (AC) signal, usually a sine wave, square wave or a triangle wave, powered by a direct current (DC) source. Oscillators are found in many electronic devices, such as radio receivers, television sets, radio and television broadcast transmitters, computers, computer peripherals, cellphones, radar, and many other devices.

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).

Force

In physics, a force is an influence that can cause an object to change its velocity, i.e., to accelerate, unless counterbalanced by other forces. The concept of force makes the everyday notion of pushing or pulling mathematically precise. Because the magnitude and direction of a force are both important, force is a vector quantity. It is measured in the SI unit of newton (N) and often represented by the symbol F.

Related lectures (53)

Newton's Laws: Inertia and Motion

Covers Newton's first and second laws, inertia, force, momentum, and action-reaction principle in mechanics.

Newton's Laws: Harmonic Oscillator

Covers the application of Newton's laws to harmonic oscillators with damping.

Experiments, Geometric Contraries MOOC: Material Point Mechanics

Covers experiments on pulleys, dynamometers, pendulum weights, forces, oscillation frequencies, and rapid rotation.

Forced Harmonic Oscillator

Explores forced harmonic oscillators, resonance, initial conditions, and collision conservation principles.

Symmetry in Integrals