The suspension system of a 2100 kg automobile "sags" 8.5 cm when the chassis is placed on it. also, the oscillation amplitude decreases by 63% 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 525 kg.

Part a)

Part b)

Explanation:

Part a)

as the mass of the suspension system is given as

also we have

so now for force balance we have

Part b)

Now we know that amplitude decreases by 63% in each cycle

so after one cycle the amplitude will become 37% of initial amplitude

so it is given as

also we know

here t = time period of one oscillation

so it is

now damping constant is