SHMHard
Question
The figure shown the displacement time graph of a executing S.H.M if the time period of oscillation is 2 s the equation of motion of its SHM is


Options
A.x = 10sin (πt + π/3)
B.x = 10sin πt
C.x = 10sin (πt + π / 6)
D.x = 10sin (2 πt + π / 6)
Solution

From figure
maximum amplitude
Position of particle at t = 0,
x = 5
let equation of SHM is
x = Asin (ωt + φ) At t = 0, x = 5
5 = 10 sinφ ⇒ φ = π/6 and ω =
Thus, equation of SHM x = 10 sin
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