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A particle is executing simple harmonic motion with a time period T. At time t=0, it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like

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Important Questions on Oscillations

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A particle of mass m is executing S.H.M. about its mean position. The total energy of the particle at a given instant is
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W denotes the total energy of a particle in linear S.H.M. At a point equidistant from the mean position and extremity of the path of the particle,

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A simple pendulum is oscillating with amplitude A and angular frequency ω. At displacement x from the mean position, the ratio of kinetic energy to potential energy is
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The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is
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If a spring extends by x on loading, then energy stored by the spring is (if T is the tension in the spring and k is the spring constant)
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A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is
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The total energy of the body executing S.H.M. is T.E. Then the kinetic energy when the displacement is half of the amplitude, is
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The ratio of the kinetic energy at mean position to the potential energy at half of the amplitude is