The displacement ( x ) is plotted with time ( t ) for a particle executing SHM as shown below. The correct equation of SHM is

Question

The displacement ( x ) is plotted with time ( t ) for a particle executing SHM as shown below. The correct equation of SHM is, x = 4 sin ⁡ π t 6 + π 6, x = 4 sin ⁡ π t 6 - π 6, x = 2 sin ⁡ 2 π 6 + π 6, x = 2 sin ⁡ π t 6 - π 6

MARKS App · Accepted Answer

x = 4 sin ⁡ ( ω t + ϕ ) ω = 2 π T = 2 π 12 = π 6 x = 4 sin ⁡ π t 6 + ϕ - 2 = 4 sin ⁡ ϕ - 1 2 = sin ⁡ ϕ ϕ = - π 6 x = 4 sin ⁡ π t 6 - π 6

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