A particle executes simple harmonic motion (SHM) with amplitude A. Let t₁ be the time taken to travel from the mean position (x = 0) to x = A/2, and t₂ be the time taken to travel from x = A/2 to the

Question

A particle executes simple harmonic motion (SHM) with amplitude A. Let t₁ be the time taken to travel from the mean position (x = 0) to x = A/2, and t₂ be the time taken to travel from x = A/2 to the extreme position (x = A). The correct relation between t₁ and t₂ is:

Accepted Answer

Answer: t₂ = 2t₁ — Using SHM time relations: t₁ = T/12, total to extreme = T/4 ⇒ t₂ = T/4 − T/12 = T/6 ⇒ t₂ = 2t₁.

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