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Discuss strings stretched between fixed points. |
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Answer» Solution :(i) LET a spring be stretched between two POINTS . Vibrations will set up in this string. When it is disturbed , say from middle . (ii) The figure given below shows that vibration set up in this string appears to be similar to a half wave having wave length `(lamda)/(2)` `lamda=2l`  Length of the spring `l=(lamda)/(2)` If T is TENSION in the string and M is mass PER unit length of the string, then velocity of disturbance is given by , `v=sqrt((T)/(M))(Mrarr`Linear Density) `v=("wavelength")/("TIME")="wavelength"xx"frequency"=lamdaf` `v=2lxxf` `f=(v)/(2l) =1/(2l) sqrt((T)/(M))""[:'v=sqrt((T)/(M))]` |
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