state the law of vibrating string
Answers
Answer:
State and use the Law of Mass from the Laws of Transverse Vibrations of a String - definition. Law of mass: The fundamental frequency is inversely proportional to the square root of the mass per unit length
The fundamental frequency of vibration of a stretched string or wire of uniform cross section is where l is the vibrating length and the mass per unit length linear density of the string and that the tension in the string from the above expression we can state the following three laws of vibrating strings.
1.Law of length
the fundamental frequency of vibrations of a stretched string is inversely proportional to its vibrating length if the tension and mass per unit length are kept constant if T and M are constant,
n a 1/l or nL = constant.
2.Law of tension:
The fundamental frequency of vibrations of a stretched string is directly proportional to the square root of the applied tension if the length and mass per unit are kept constant if l and M are constant,
n a√T or n²/T = Constant.
3.Law of mass:
The fundamental frequency of vibrations of a stretched string is inversely proportional to the square root of its mass per unit if the length and tension are kept constant if L and T are constant,
a 1/√m or n²m = Constant.
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