That "F" is the Tension force:annamal said:
Yes, I know that F is the tension but is F the tension of the string in the x direction or is F the tension that is tangent to the string.berkeman said:
It does not matter. To the approximation that is used to derive the wave equation, the difference is negligible.annamal said:
Yes, this makes the tension of the string in the horizontal direction as wellJT Smith said:
Ok, not sure how the tension in the x direction can be approximated as the resultant tensionOrodruin said:
The vertical displacement amplitude is assumed to be small in those derivations, so the tension in the string is not affected (in magnitude) by the wave passing by. Does that help?annamal said:
Simple harmonic motion is a type of periodic motion where the restoring force is directly proportional to the displacement from equilibrium. This means that the motion follows a sinusoidal pattern, with the object oscillating back and forth around a central point.
The speed of a wave on a string in simple harmonic motion is calculated using the formula v = √(T/μ), where v is the speed, T is the tension in the string, and μ is the linear mass density of the string.
No, the speed of a wave on a string in simple harmonic motion is independent of the amplitude of the wave. This means that the speed remains constant regardless of how far the string is displaced from equilibrium.
The speed of a wave on a string in simple harmonic motion is directly proportional to the tension in the string. This means that as the tension increases, the speed of the wave also increases.
Yes, the speed of a wave on a string in simple harmonic motion is inversely proportional to the square root of the linear mass density of the string. This means that increasing the mass of the string will decrease the speed of the wave.