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Sketch a planar model of a two-cord bungie jump (Figure 3.47) in which you represent the person of mass mP using a point mass P and the bungie cords as simple springs with identical spring constants k and rest lengths l0. Assume the distance between the attachment points is 2l0.

a. How many degrees of freedom does your model have?
b. Find the equations of motion of P.
c. Integrate the equations of motion in matlab using mP = 50 kg, k = 10 N/m, and l0 = 5 m, assuming that the person falls from rest.
d. Plot the tension in the bungie cords versus time. How strong do they have to be so they won’t snap?

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