The displacement of particle performing S.H.M. is given by
x=[5sinπt+12sin(πt+2π)] cm. Determine the amplitude, period and initial phase of the motion.
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x=5sinπt+12sin(πt+π/2)
=5sinπt+12cosπt
=13sin(πt+θ) where cosθ=5/12
Amplitude, A=max(x)=13 cm
Time period, T=2π/ω=2π/π=2 s
Initial phase, α=
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