Question

Dynamics

For a mass-damper-spring system shown in Figure 5 on which a force input f(t) is applied,

(a) Draw a complete bond graph model

(b) Provide a state equation in format of [ż = Az + Bu] and z = [p x]1 where p is a momentum of the mass.

\text { (c) Determine a transfer function } \frac{X(s)}{F(s)}

(d) When the applied force is a unit step of f(t) = 2 N, determine mass m, damper b, and spring k values for the system behavior shown in Figure 6


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