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Give an example of a simple harmonic oscillator, specifically noting how its frequency is independent of amplitude. 5. Explain why you expect an object made of a stiff material to vibrate at a higher frequency than a similar object made of a spongy material. 6.
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.
Small-amplitude surface water waves are produced from both ends of the trough by paddles oscillating in simple harmonic motion. The height of the water waves are modeled with two sinusoidal wave equations, y 1 (x, t) = 0.3 m sin(4 m −1 x − 3 s −1 t) and y 2 (x, t) = 0.3 m cos(4 m −1 x + 3 s −1 t − \(\frac{\pi}{2}\)).
An oscillation is a back and forth motion of an object between two points of deformation. An oscillation may create a wave, which is a disturbance that propagates from where it was created. The simplest type of oscillations and waves are related to systems that can be described by Hooke’s law.
Oscillating. Examples of simple harmonic motion: -A vertical mass-spring system with no friction -A frictionless pendulum oscillating -A horizontal mass-spring system with no friction
Examples of systems which experience free oscillations are: Simple pendulum - A small, dense bob that hangs from a string, which is attached to a fixed point. Once the bob is displaced and let go, the pendulum will oscillate freely. Mass-spring system - A mass attached to a spring, which will oscillate freely once displaced and released.
Lecture 9: Maxwell’s Equations and Electromagnetic Waves (PDF) Lecture 10: Linear Dynamics (PDF) This page includes 10 lecture notes.
