Suppose a sinusoidal wave on a string, having amplitude A and travelling in the - direction,...

 

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Suppose a sinusoidal wave on a string, having amplitude A and travelling in the -â direction, is partially reflected at the point a = 0, so that the reflected wave is in phase with the incident wave at x = 0 but has amplitude kA, where 0 < k<1 is the reflection coefficient. a) Show that each point on the string undergoes simple harmonic motion and determine how the amplitude of the simple harmonic motion varies with x b) Find the ratio of maximum to minimum amplitude, known as the standing wave ratio Suppose a sinusoidal wave on a string, having amplitude A and travelling in the -â direction, is partially reflected at the point a = 0, so that the reflected wave is in phase with the incident wave at x = 0 but has amplitude kA, where 0 < k<1 is the reflection coefficient. a) Show that each point on the string undergoes simple harmonic motion and determine how the amplitude of the simple harmonic motion varies with x b) Find the ratio of maximum to minimum amplitude, known as the standing wave ratio

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We can write the incident wave as y i ASincx t the wave is traveling in x direction c is the w... View the full answer