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A mass of 1.32 kg is connected to a spring of spring constant 8.81 N/m ....

A mass of 1.32 kg is connected to a spring of spring constant 8.81 N/m . An oscillation is started by pulling the mass to the right to amplitude 0.582m before release and the oscillator moves in air. The oscillation decays to 18.2% of the original amplitude in 58.2 seconds.

the damping constant of the oscillation is 7.73*10^-2 kg/s

total energy has the system lost in this time due to air damping = 1.44 j

the amplitude of the oscillation be 25.29 seconds after release is 0.278

What would the position of the oscillation be 25.29 seconds after release?

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Answer #1

The position of the oscillator after 25.29 sec after release is

x(t) = A cos (wt + \phi)

A = amplitude after 25.29 sec = 0.278

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