Please show work, so I can understand this problem better A flexible stick 4.0 m

Question

Please show work, so I can understand this problem better

A flexible stick 4.0 m long is not fixed in any way and is free to vibrate Part A Find the wavelengths of the first harmonic. (Hint: Should the ends be nodes or antinodes?) Express your answer using two significant figures. ANSWER: Part B Find the wavelengths of the second harmonic. (Hint Should the ends be nodes or antinodes?) Express your answer using two significant figures. Part C Find the wavelengths of the third harmonic. (Hint: Should the ends be nodes or antinodes?) Express your answer using two significant figures.

Explanation / Answer

Here,

for the stick to be not fixed at any end.

length ,L = 4 m

part A)

as the ends are antinodes

wavelength of first harmonic = 2L

wavelength of first harmonic = 8 m

part b)

for the second harmonic

wavelength of secoond harmonic = L/(1.5)

wavelength of secoond harmonic = 4/1.5

wavelength of secoond harmonic = 2.67 m

part c)

for the third harmonic

wavelength of third harmonic = L/(2.5)

wavelength of third harmonic = 4/2.5

wavelength of third harmonic = 1.6 m

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