The figure shows a vehicle modeled as a two-degree of freedom system to allow fo
ID: 2998478 • Letter: T
Question
The figure shows a vehicle modeled as a two-degree of freedom system to allow for bounce and pitch motion. This model can be determined from the schematic shown below the figure. Determine (a) equations of motion using Newtonian and arguing method (b) equations in state space form (c) the transfer function Theta(s)/F(s), X(s)/F(s)
The figure shows a vehicle modeled as a two-degree of freedom system to allow for bounce and pitch motion. This model can be determined from the schematic shown below the figure. Determine (a) equations of motion using Newtonian and arguing method (b) equations in state space form (c) the transfer function Theta(s)/F(s), X(s)/F(s) radius of gyration r^2=o.64m^2 m=4000kg c1=c2=2000Ns/m k1=k2=20000N/m l1=0.9m l2=1.4mExplanation / Answer
radius of gyration r^2=o.64m^2 m=4000kg c1=c2=2000Ns/m k1=k2=20000N/m l1=0.9m l2=1.4m
F = ma = m*v2/r = 4000 v2 / r = where the time is 20000N/m /2000Ns/m = 10/s and the distance is 1.4-.9=.5
So, aceleration = .5m/100/s = 50m/s2
F = 4000 * 50 = 200,00N
a = d theta/d time = v2 / r
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