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The given equation of SHM is
X(t) = 10cos(2πt + π/6)
From this equation , the following parameters can be deduced:
A = maximum amplitude = 10m
ω = angular velocity = 2π
Ф = phase displacement = π/6
i) putting t = 0, we get
X(0) = 10 cos(0 + π/6)
= 10 x √3/2
= 10 x 0.866
= 8.66 m
ii) The maximum velocity is given by,
V = Aω
=> V = 10 x 2π
=> V = 62.8 m/s
iii) Angular displacement = π/6 radians
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