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# You are riding in an automobile of mass 3000 kg.. Assuming that you are examining the oscillation characteristics of its suspension system. The suspension sags 15 cm when the entire automobile is placed on it. (a) the spring constant k

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 $\inline K$

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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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