Question

explain the vibrations of streched string and state laws of streched string?

Answer 1

First I am starting with the Laws of the stretched string :

Laws of stretched string

⇒ The frequency of the string is inversely proportional to the length of the string .

f ∝ 1 / l

⇒ The frequency of the string is directly proportional to the square root of the time period .

f ∝ √t

⇒ The frequency is inversely proportional to the square root of mass of the string .

f ∝ 1 / √m

Hence f ∝ √t / ( l × √m )

f = ( 1/2 √t ) / ( l × √m )

More laws :

⇒ The string if plucked in the middle vibrates in one loop. The vibration is called principal note .

⇒ The string if plucked at different ends produce different modes of vibration.

⇒ If l is the length of the string , then the different modes of vibration of the string if plucked at 2l , 2l/2 , 2l/3 will be 3 : 2 : 1 .