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A particle of mass m is moving along the x-axis under the potential  V(x)= k x 2 2 + λ x  where k and  x are positive constants of appropriate dimensions. The particle is slightly displaced from its equilibrium position. The particle oscillates with the angular frequency ω given by

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Important Questions on Simple Harmonic Motion

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The velocity and acceleration of a particle performing simple harmonic motion have a steady phase relationship. The acceleration shows a phase lead over the velocity in radians of
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A body undergoing simple harmonic motion has a maximum acceleration of 8 m s-2 and maximum speed of 1.6 m s-1. What is the time period T ?
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Two simple harmonic motions with the same amplitude and same frequency acting in the same direction are impressed on a particle. If the resultant amplitude of the particle is equal to the amplitude of individual S.H.M.s, the phase difference between the two simple harmonic motions is
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Instantaneous power delivered to a damped harmonic oscillator (natural frequency is ω0), by an external periodic force (driving frequency ω) under steady state conditions is