Transverse waves y₁ = A₁ sin(k₁x − ω₁t)and y₂ = A₂ sin(k₂x − ω₂t),with A₂ A₁,start at opposite ends of a long rope when t = 0.The magnitude of the maximum displacement,y,of the rope at any point is

Question

Transverse waves y₁ = A₁ sin(k₁x − ω₁t)and y₂ = A₂ sin(k₂x − ω₂t),with A₂ > A₁,start at opposite ends of a long rope when t = 0.The magnitude of the maximum displacement,y,of the rope at any point is

Quizplus · Accepted Answer

The magnitude of the total displacement at any point is given by the sum of the individual displacements at that point. Therefore, the maximum displacement will be the sum of the maximum displacements of each wave. Thus, y = A₁ + A₂.

Transverse Waves Y1 = A1 Sin(k1x − ω1t)and Y2 =

Transverse Waves Y₁ = A₁ Sin(k₁x − ω₁t)and Y₂ =