Answer to Question #281802 in Mechanical Engineering for eyad allaban

Question #281802

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
2021-12-22T05:42:02-0500

Given:

y(x,t)=Asin(πx)cos(2πt)y(x,t) = A \sin(πx)\cos(2πt)


The positions of anti-nodes are given by the equation 


sin(πx)=±1\sin(\pi x)=\pm 1



So 


πx=π/2+πn,n=0,1,2,...x=1/2+n\pi x=\pi/2+\pi n, \quad n=0,1,2,...\\ x=1/2+n


The position of second anti-node from origin


x=1/2+1=3/2m=1.5mx=1/2+1=3/2\:\rm m=1.5\: m




Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment