Which one of the following represents the linear mathematical model of the physical system shown in the Fig.?

1
\(M\frac{{{d^2}{x_1}}}{{d{t^2}}} + B\frac{{d{x_1}}}{{dt}} = k\left[ {{x_1} - {x_2}} \right]\)
2
\(M\frac{{{d^2}{x_2}}}{{d{t^2}}} + B\frac{{d{x_2}}}{{dt}} = k\left[ {{x_2} - {x_1}} \right]\)
3
\(M\frac{{{d^2}{x_1}}}{{d{t^2}}} + B\frac{{d{x_1}}}{{dt}} = k\left[ {{x_2} - {x_1}} \right]\)
4
\(M\frac{{{d^2}{x_2}}}{{d{t^2}}} + B\frac{{d{x_2}}}{{dt}} = k\left[ {{x_1} - {x_2}} \right]\)

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