Two particles 'A' and 'B' perform S.H.M., starting from mean position have periodic the ' T ' and 3 T /2 respectively. The phase difference between particles A and B when

Question

Two particles 'A' and 'B' perform S.H.M., starting from mean position have periodic the ' T ' and 3 T /2 respectively. The phase difference between particles A and B when particle A completes one oscillation is

TestHub · Accepted Answer

Equation of motion of the practical are X 1 ​ = A 1 ​ sin T 1 ​ 2 π ​ t and X 2 ​ = A 2 ​ sin T 2 ​ 2 π ​ t ∴ Phase difference Δ ϕ = ( T 1 ​ 2 π ​ − T 2 ​ 2 π ​ ) t ​ = ( T 2 π ​ − 3 T /2 2 π ​ ) t At t = T Δ ϕ = ( 2 π − 3 2 × 2 π ​ ) T T ​ = 3 2 π ​ ​

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