A spring mass oscillator hanging from the ceiling is damped by a vane immersed in a liquid. The mass is 250g, k is 85 N/m and a damping constant of 70g/s. (a) sketch the setup above. (b) derive the expression of the mechanical energy for under damped system. (c) calculate the period of the motion. (d) how long does it take for the amplitude of the damped oscillations to drop to half its initial value. (e) find the time it will take for the mechanical energy to drop to half its initial value

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A spring mass oscillator hanging from the ceiling is damped by a vane immersed in a liquid. The mass is 250g, k is 85 N/m and a damping constant of 70g/s. (a) sketch the setup above. (b) derive the expression of the mechanical energy for under damped system. (c) calculate the period of the motion. (d) how long does it take for the amplitude of the damped oscillations to drop to half its initial value. (e) find the time it will take for the mechanical energy to drop to half its initial value 

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