Question

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

A
π6
B
π3
C
π2
D
2π3
Solution
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Given,
x1=Asin(ωt+π6)
x2=Acos(ωt)
x2=Asin(ωt+π2)

Phase difference:
ϕ=ϕ2ϕ1

ϕ=π2π6

ϕ=3ππ6=π3

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