Question: In the system shown in Figure 1 , the input is the displacement ( y ) and the output is the displacement

In the system shown in Figure 1, the input is the displacement \( y \) and the output is the displacement \( x \) of the mass \( m \). The equilibrium position corresponds to \( x=y=0\). Neglecting any friction between the mass and the surface, derive the equation of motion.
In the system shown in Figure 1 , the input is

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