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A stretched string fixed at each end has a mass of 40.0 g and a length...

A stretched string fixed at each end has a mass of 40.0 g

and a length of 8.00 m. the tension in the string is 49.0 N.

(a) Determine the positions of the nodes and antinodes for

the third harmonic.

(b) What is the vibration frequency of this harmonic?

I know the answers to each part but I need depth explanantion for each step please ..... why is the fundamental for the antinodes lamda/4 and why is the nodes lamda/2 ???

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