. For optimum road holding a ‘hard’ suspension is desirable and it is believed that to achieve this the damping should be critical.
. For optimum road holding a ‘hard’ suspension is desirable and it is believed that to achieve this the damping should be critical.
During the design of a car, part of the suspension system is tested by subjecting it to violent displacements. One such test is modelled by the differential equation
where x is displacement, and initially x = 0 and x = 0. The parameter k ( > 0) is known as the damping coefficient and can be varied during the tests. For optimum road holding a ‘hard’ suspension is desirable and it is believed that to achieve this the damping should be critical.
i) Find the value of k for critical damping.
ii) Determine x as a function of time t in this case. For a more comfortable ride a ‘soft’ suspension is proposed in which k = 0.6.
iii) Determine x as a function of time t for the ‘soft’ suspension.
iv) Find the maximum displacement of the ‘soft’ suspension.
. A ‘hard’ suspension is desirable for best road gripping, and it is thought that damping is crucial in achieving this. A ‘hard’ suspension is desirable for best road gripping, and it is thought that damping is crucial in achieving this.
Part of the suspension system is tested during the design of an automobile by subjecting it to violent displacements. The differential equation can be used to model one such test.
When x is displacement and x = 0 and x = 0 at the start. The damping coefficient, k (> 0), is a variable that can be changed during the experiments. A ‘hard’ suspension is desirable for best road gripping, and it is thought that damping is crucial in achieving this.
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