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3 particles are performing SHM such that the amplitude of the individual particles is given as 2 units and 3 units and 4 units. |
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Answer» x
=Asinwt x 2
=Asin(wt+ϕ) distance between them is (x 2
−x 1
)=Asin(wt+ϕ)−Asin(wt) =A[2COS(wt+ϕ)−Asin(wt)] =A[2cos(wt 2 ϕ
)sin( 2 ϕ
)] (x 2
−x 1
) will be max if COS(wt+ 2 π
)=1 ∴(x 2
−x 1
) max
=2Asin( 2 ϕ
) A=2Asin( 2 ϕ
) ⟹ 2 ϕ
=30 o = 6 π
∴ϕ=60 o or 3 π
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