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Show that if two SHM x= Asinwt and Bsinwt execute then path will be elliptical

Show that if two SHM x= Asinwt and Bsinwt execute then path will be elliptical 

Grade:12th pass

1 Answers

Saurabh Kumar
askIITians Faculty 2411 Points
4 years ago
x/A = sin wt ….….….…....1
y/B = cos wt ….….….….….2
Square both and add … you will get an ellipse equation.
But, in second equation, you are given sinwt
so RHS would be 2sin2wt, then you bcan simplfy into a general equation, but it would be a function of phase difference.

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