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What is the phase difference between two simple harmonic motions represented by x1=Asin(ωt+π6) and x2=Acos(ωt)?

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Solution

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x1=Asin(ωt+π6)

x2=Acos(ωt)

x2=Asin(ωt+π2)

Phase difference:

△ϕ=ϕ2−ϕ1

△ϕ=ϕ2−ϕ1

△ϕ=π2−π6

△ϕ=3π−π6=π3

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