The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of π results in the displacement of the particles along:
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Question

The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of π results in the displacement of the particles along:

G1 Physics · Accepted Answer

Step 1: Let x = A sin(ωt) and y = B sin(ωt + π). Step 2: Using sin(θ + π) = −sinθ, obtain y = −B sin(ωt). Step 3: Eliminating sin(ωt) gives y = −(B/A)x: a straight line through the origin. Final answer: (C) straight line.