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Asked by Ananya Last Modified
Answer 
Shivam Sharma
(a) Mass of the automobile, m = 3000 kg
Displacement in the suspension system, x = 15 cm = 0.15 m
There are 4 springs in parallel to the support of the mass of the automobile.
The equation for the restoring force for the system:
F = –4kx = mg
Where, k is the spring constant of the suspension system
Time period, 
And 
= 5000 = 5 × 104 N/m
Spring constant, k = 5 × 104 N/m
(b) Each wheel supports a mass, M = 
= 750 kg
For damping factor b, the equation for displacement is written as:
The amplitude of oscillation decreases by 50%.
∴
Where,
Time period, 
= 0.7691 s
= 1351.58 kg/s
Therefore, the damping constant of the spring is 1351.58 kg/s.
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