Two particles execute SHM on the same line according to x₁ = 4sinωt cm and x₂ = 4cosωt cm. If their maximum possible separation is N√2 cm, find N.

Question

G1 Physics · Accepted Answer

Relative displacement is x₁−x₂ = 4(sinωt−cosωt) = 4√2 sin(ωt−π/4). Therefore maximum separation is 4√2 cm. Hence, N = 4.