A particle executing a simple harmonic motion has a period of 6 s . The time taken by the particle to move from the mean position to half the amplitude, starting from the mean position is

Question

A particle executing a simple harmonic motion has a period of 6 s . The time taken by the particle to move from the mean position to half the amplitude, starting from the mean position is, 1 4 s, 3 4 s, 1 2 s, 3 2 s

MARKS App · Accepted Answer

y = A sin ⁡ 2 π T t A 2 = A sin ⁡ 2 π T t = 2 π T t = π / 6 Time period t = T 12 = 6 12 = 1 2 s

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