A body of mass 0.1kg is executing simple harmonic motion according to the equation x=0.5cos(100t+3π4) metre. Find: (i) the frequency of oscillation, (ii) initial phase, (iii) maximum velocity, (iv) maximum acceleration, (v) total energy.
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The equation of motion of S.H.M x=0.5cos(100+3π4). Comparing it with general equation motion of S.H.M, described as follows, we get, x=Acos(ωt+θ)
(1) Frequency=ω2π, Where ω=100
(5)Total energy=12mω2A2(Mass of the particle=0.1kg)