Figure 1 shows a schematic diagram of a system. Force F is applied to the spring on top of the beam. Displacement x may also be applied on top of the beam. Assume mass of springs are negligible. Assume the mass of the beam is negligible. Assume no bending occurs in the beam. Note: Force F and displacement x are not applied simultaneously. K F X 1 Figure 1 C 1 y 77 (a) Develop the transfer function and the time constant relating the force F and output displacement y, when the force F is applied.