Chapter 3. Wave Dynamics. Wave Equation
Recommended Article : 【Physics】 Physics Table of Contents
1. Assumptions
Figure. 1. Diagram for Derivation of the Wave Equation
1. Assumptions
⑴ Infinitesimal displacement : θ ≒ 0, therefore sin θ ≒ tan θ
⑵ No friction (undamped system) (e.g. : When there is no viscosity in the air)
2. Equations of Motion
⑴ Using Taylor series
⑵ Using Newton’s second law
⑶ General solution
① y1 : In the case of a wave traveling in the positive x-direction
② y2 : In the case of a wave traveling in the negative x-direction
3. Concept of Velocity
⑴ Phase velocity
⑵ Transverse velocity
Input : 2019.04.09 09:51