Two particles execute SHM along the same line with equal amplitude A and equal frequency. Their maximum separation is exactly A. If their phase difference is N degrees, where 0

Question

Two particles execute SHM along the same line with equal amplitude A and equal frequency. Their maximum separation is exactly A. If their phase difference is N degrees, where 0 < N < 180, find N.

G1 Physics · Accepted Answer

For equal amplitudes A and phase difference δ, the amplitude of relative displacement is 2A sin(δ/2). Given maximum separation is A. Thus, 2A sin(δ/2) = A. Therefore, sin(δ/2) = 1/2. Since 0 < δ < 180°, δ/2 = 30°. Hence, δ = 60°. Therefore, N = 60.