Question: Figure 1 shows a building with a mass pendulum attached to the ceiling, where, The building is excited by a ground acceleration as shown in

Figure 1 shows a building with a mass pendulum attached to the ceiling, where,
The building is excited by a ground acceleration as shown in Figure 1. is relative displacement to ground movement. The initial conditions (initial displacement and initial velocity) for both and are zeros.
Figure 1: Building with a Pendulum Mass
Derive the equation of motion for the system.
Figure 1 shows a building with a mass pendulum

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