The input to the translational mechanical system shown in the following diagram is the displacement \(x_{3}(t)\) of the right end of the spring \(k_{1}\). The displacement of \(m_{2}\) relative to \(m_{1}\) is \(x_{2}\). The forces exerted by the springs are zero when \(x_{1}=x_{2}=x_{3}=0\).

(a) Draw the free-body diagrams of the system

(b) Obtain the equations of motion.

Transcribed Image Text:

k m X2 m X3 (t) b XXXX A k 000 m 77 Translational Mechanical System