wave theory

VITEEE 2015 Tutorials › Mechanics questions › wave theory

A string 120cm in length sustains a standing wave with the points of the string at which the displacement amplitude is equal to 3.5 mm being seperated by 15cm. find,
a)the maximum displacement amplitude
b)to which overtone do these oscillations correspond?

#Physics #Mechanics

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2 Answers

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rocky ·2010-06-12 05:43:44

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rocky ·2010-06-12 05:48:44

points A ,B,C,D,E are having equal displacement

x_E-x_A=Î»=4*15=60cm

as Î»=2l/n=2 *120/n=60

n=4

so it corresponds to 4^th harmonic

(distance of node from A =7.5CM as distance bet. B and C is 15 cm and node is between them .....)

taking node as origin and thus a=A sinkx

here a=3.5mm;k=2Î /Î» and x=7.5cm

hence calculate A .................

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