The discussion focuses on solving a Damped Simple Harmonic Motion problem related to a 2100 kg automobile's suspension system. The spring constant (k) can be determined using Hooke's Law, where the force exerted by the spring at the new equilibrium position equals the gravitational force acting on the chassis. The damping constant (b) can be calculated using the formula b = (-2m * ln(0.65)) / t, where t corresponds to the period of oscillation, which can be derived once k is known.
PREREQUISITESMechanical engineers, physics students, and professionals involved in automotive suspension design and analysis will benefit from this discussion.
You can't get omega. The way to do it is to use Hooke's law. You know the distance by which the springs get compressed when the chassis is laid down. The force exerted by the spring at the new equilibrium position must cancel the force exerted by gravity. That will give you k.davegillmour said:a) I know that k=mw^2 but don't know where I can get w from.
b)Xe^(-bt/2m)= .65X which breaks down to b=(-2m*ln(.65))/t but I don't know how/if I can't get a t.
Is there something I'm not seeing or am I totally off in my approach?
Any help is appriciated