Question #89777
Stationary waves are produced in a medium
by the superposition of two waves
y1 = 0.05 sin (3π t - 2 x)
and y2 = 0.05 sin (3π t + 2 x)
where x and y are in metre and t in second.
Calculate the amplitude of the particle at
x= 0.5 m. Given cos (57.3°) = 0.54
1
Expert's answer
2019-05-24T10:40:10-0400
y=y1+y2=0.05(sin(3πt2x)+sin(3πt+2x))y=y_1+y_2=0.05( \sin{ (3π t - 2 x)}+ \sin{ (3π t+2 x)})

y=0.05(2sin(3πt)cos2x)y=0.05( 2\sin{ (3πt) \cos{2x}})

A(0.5)=0.1cos2(0.5)=0.054 mA(0.5)=0.1 \cos{2(0.5)}=0.054\ m


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