In suspension systems how do you explain -'soft springs give smoother ride and hard spring give harsher ride'.

Theoretical and analytical treatment to the sub

Answer:
Softer springs have a lower spring constant, and hard spring have a higher spring constant.
A mass spring damper system follows a second order differential curve, so with the same car (mass), same damping (friction), and different springs, the displacement (give) of the spring will be greater for a soft spring.
Brownian movement ?
that just isn't the case. if you have a very rough course and are going very fast, stiffer springs are going to give a smoother ride. such is the case in offroad racing

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