Step 1: Draw the Free Body Diagram (FBD)
- Identify the forces acting on the mass \( m \):
- Spring force: \( F_s = -k(x - y) \)
- Damping force: \( F_d = -c(\dot{x} - \dot{y}) \)
- External force: None, as the system is driven by the base motion \( y(t) = Y
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