As for the case study of developing models for dynamical systems, we selected bungy jumping. It's something we love, and which can be represented as a translational system in vertical motion. Physical devices are symbolized by one or more idealized elements that obey laws involving the variables associated with the elements. Basically, the bungy jumping system consists of three elements: the mass, the stiffness, and friction. The mass is the representation of the jumping person, the stiffness corresponds to the bungee cord, and friction is air resistance. The variables included in the system are the output displacement, x, the velocity v, the spring constant, K and the Frictional constant, B.

Generally, bungy jumping is a sport in which a person jumps off a bridge with a rope wrapped tightly around his or her waist to keep them from falling. On the same token, we can imply the bungy jumper as a mass is being released from a reference point, which is the bridge in this case, and the mass is attached to a spring which again is the safety cord we mentioned earlier. Since the mass is released downward in a vertical position, the gravitational force, mg must be considered in the system also.

We Develop things that make the world go round, like bungee Cords and other good tihngs.

We also do dynamic case studies in System Modeling. Read the Description of the System to get a better understanding of what type of system we are modeling.