Two simple harmonic motions of same frequency w but having displacements in two perpendicular directions act simultaneously on a particle:          X = a Sin (wt+a1)   and    Y = b Sin (wt+a2)  Find the resultant motion for various values of the  phase difference  d = a1-a2.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter16: Oscillations
Section: Chapter Questions
Problem 28PQ: We do not need the analogy in Equation 16.30 to write expressions for the translational displacement...
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Two simple harmonic motions of same frequency w but

having displacements in two perpendicular directions

act simultaneously on a particle:

         X = a Sin (wt+a1)   and    Y = b Sin (wt+a2)

 Find the resultant motion for various values of the

 phase difference  d = a1-a2.

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