A shock absorber is designed to quickly damp out the oscillations that a car wou

Question

A shock absorber is designed to quickly damp out the oscillations that a car would otherwise make because it is suspended on springs.

Part A

Find the period of oscillation of a 1600-kg car that is suspended by springs that make an effective force constant of 5.9×104N/m.

Express your answer to three significant figures and include appropriate units.

Part B

Find the damping constant b that will reduce the amplitude of oscillations of this car by a factor of 5.00 within a time equal to half the period of oscillation.

Express your answer to three significant figures in kg/s.

Explanation / Answer

a) Mass of the car, m = 1600kg

Effective force constant of the springs, k = 5.9 * 104 N/m

Period of Oscillation, T = 2** (m/k)

-> T = 1.034 s

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