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The simplest type of oscillations are related to systems that can be described by Hooke’s law, F = −kx, where F is the restoring force, x is the displacement from equilibrium or deformation, and k is the force constant of the system.
- 15: Oscillations
The simplest type of oscillations are related to systems...
- 8.1: Oscillatory Motion
Oscillations in a Potential Energy Landscape. The potential...
- 15: Oscillations
The simplest type of oscillations are related to systems that can be described by Hooke’s law, F = −kx, where F is the restoring force, x is the displacement from equilibrium or deformation, and k is the force constant of the system.
24 Απρ 2022 · Oscillations in a Potential Energy Landscape. The potential energy associated with a mass on a spring has a very simple form: \(U_{\mathrm{s}}(x)=\frac{1}{2} k x^{2}\) (see Equation 3.3.7). The potential energy landscape of a harmonic oscillator thus has the shape of a parabola.
6 Απρ 2023 · Oscillatory motion is a back-and-forth motion of an object about an equilibrium position. Such motion is possible only when a restoring force or torque acts on the object. The force or torque restores the object to its equilibrium position no matter in which direction it is displaced.
We begin by studying the type of force that underlies the simplest oscillations and waves. We will then expand our exploration of oscillatory motion and waves to include concepts such as simple harmonic motion, uniform circular motion, and damped harmonic motion.
Lecture 1: Mathematical Modeling and Physics (PDF) Lectures 2–3: Simple Harmonic Oscillator, Classical Pendulum, and General Oscillations (PDF) Lecture 4: Damped Oscillations (PDF)
Our calendar consists of years determined by the motion of the sun; months determined by the motion of the moon; days by the rotation of the earth; hours by the motion of cyclic motion of gear trains; and seconds by the oscillations of springs or pendulums.
