2. A spring-mass system consisting of m=2 kg and spring constant k=50N/m is executing simple harmonic motion with amplitude of 0.9 m. (a) Calculate the total mechanical energy of the oscillator (b) What is the maximum velocity of the mass (c) For what value(s) of displacement will the oscillator have maximum kinetic energy? (d) For what value(s) of displacement will the oscillator have maximum potential energy? (e) If the oscillator is subjected to a mild damping force b= 0.07 kg/s find the time constant for the damped oscillator.
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