A particle undergoing simple harmonic motion has time dependent displacement given by x ( t ) = A sin 90 π t . The ratio of kinetic to potential energy of this particle at t = 210 s will be

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A particle undergoing simple harmonic motion has time dependent displacement given by x ( t ) = A sin 90 π t ​ . The ratio of kinetic to potential energy of this particle at t = 210 s will be

TestHub · Accepted Answer

Kinetic energy, k = 2 1 ​ m ω 2 A 2 cos 2 ω t Potential energy, U = 2 1 ​ m ω 2 A 2 sin 2 ω t U k ​ = cot 2 ω t = cot 2 90 π ​ ( 210 ) = 3 1 ​

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