# Q. 14.21 (a) You are riding in an automobile of mass $\inline 3000\; kg.$. Assuming that you are examining the oscillation characteristics of its suspension system. The                     suspension sags $\inline 15\; cm$ when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by $\inline 50^{o}/_{o}$ during one complete oscillation. Estimate the values of(a) the spring constant $\inline K$

Mass of automobile (m) = 3000 kg

There are a total of four springs.

Compression in each spring, x = 15 cm = 0.15 m

Let the spring constant of each spring be k

$\\4kx=mg\\ k=\frac{3000\times 9.8}{4\times 0.15}\\ k=4.9\times 10^{4}\ N$

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