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Question:

The suspension system of a 1900 kg automobile sags 14 cm when the chassis is placed on it.?

Also, the oscillation amplitude decreases by 56% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 475 kg.

Answer:

F kx {spring resistance force} F 475(9.81) 4660. N x spring deformation 0.14 m k F/x 4660/0.14 33,300 N/m ANS-1 damping ratio 0.56 *damping ratio b/2√mk {where b damping coefficient b (0.56)(2)√mk 1.12√(475)(33,300) (1.12)(4000) 4500 kg/s ANS-2 *ref source
not necessary,make sure they are properly inflated or you may need to have them re balance.

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