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particles P and Q describe SHM of same amplitude a frequency f along the same straight line the maximum distance between the two particles is 2a the initial phase difference between the particles

 particles P and Q describe SHM of same amplitude a frequency f along the same straight line the maximum distance between the two particles is 2a  the initial phase difference between the particles

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1 Answers

Arun
25750 Points
5 years ago
 
let the phase difference be ‘Z’
so the equation of displacement from origin for particle 1 is: y= a sin(wt+Z)
           equation of displacement from origin for particle 2 is: x= a sin(wt)
So the distance between them would be y-x
a(Sin(wt+Z) – Sin(wt))
=2a[sin(Z/2)cos((2wt+Z)/2)]
this is max when the cosine part is zero 
i.e 2asin(Z/2)= 2a
now solve and get the ans
 
Regards
Arun

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