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A 600-g object is attached to a spring with a force constant of 2.4 N/m. The...

A 600-g object is attached to a spring with a force constant of 2.4 N/m. The object rests on a horizontal surface that has a viscous, oily substance spread evenly on it. The object is pulled 15 cm to the right of the equilibrium position and set into harmonic motion. After 3 s, the amplitude has fallen to 7 cm due to frictional losses in the oil. Calculate the following.

a. The natural frequency of the system

b. The damping constant for the coil

c. The frequency of oscillation that will be observed for the motion

d. How much time will it take before the oscillations have died down to one-tenth of the original amplitude (1.5 cm)?

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