Repeat Chapter Problem 3.37 if the system has the same mass and stiffness but it is designed to be overdamped with a damping ratio of 1.3.

Data From Chapter Problem 3.37:

For the press of Chapter Problem 3.36, determine

(a) the force transmitted to the floor as a function of time,

(b) the time at which the maximum transmitted force occurs, and

(c) the value of the maximum transmitted force.

Data From Chapter Problem 3.36:
During operation a \(500-\mathrm{kg}\) press machine is subject to an impulse of magnitude \(5000 \mathrm{~N} \cdot \mathrm{s}\). The machine is mounted on an elastic foundation that can be modeled as a spring of stiffness \(8 \times 10^{5} \mathrm{~N} / \mathrm{m}\) in parallel with a viscous damper of damping coefficient \(6000 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}\).