do I equate them both? :haruspex said:
You know the tensions (different) and the wavelengths (different). You know the frequencies are different. What does that leave?goonking said:
velocity? but if tension is different then velocity should be different too, right?haruspex said:
We eliminated velocity. Look at your equation in post #3. The are four variables in there. Which one has not been mentioned?goonking said:
The fundamental frequency of oscillation in 2 ropes refers to the lowest possible frequency at which the ropes can oscillate in a standing wave pattern. This frequency is determined by the properties of the ropes, such as their length, tension, and mass per unit length.
The fundamental frequency can be calculated using the formula f = 1/2L * √(T/μ), where L is the length of the ropes, T is the tension in the ropes, and μ is the mass per unit length of the ropes. This formula is derived from the wave equation and takes into account the physical properties of the ropes.
The fundamental frequency of oscillation is important because it determines the natural frequency of the ropes. This frequency can affect the stability and resonance of the ropes, and can also be used to tune musical instruments or study the properties of materials.
The fundamental frequency of oscillation is directly proportional to the length of the ropes and the square root of the tension, and inversely proportional to the square root of the mass per unit length. This means that a longer rope or a higher tension will result in a higher frequency, while a heavier rope will result in a lower frequency.
Yes, the fundamental frequency of oscillation can be changed by altering the properties of the ropes. This can be done by adjusting the length, tension, or mass per unit length of the ropes. Additionally, the fundamental frequency can also be affected by external factors such as temperature and humidity.