Question #279413

Given the wavefunction of a standing wave: y(x,t) = A sin(πx)cos(2πt), where x and y are in meters and t is in seconds. The position of the second anti-node from the end x = 0 is at:

1
Expert's answer
2021-12-16T11:34:56-0500

An antinode is a point along a medium which undergoes maximum displacement above and below the rest position.

So, the second anti-node is at x = 3/2:

y(x,t)=Asin(3π/2)cos(2πt)=Acos(2πt)y(x,t) = A sin(3π/2)cos(2πt)=-Acos(2πt)


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