Three linked bungee jumpers are depicted in Fig. P25.26. If the bungee cords are idealized as linear springs (i.e., governed by Hooke s law), the following differential equations based on force balances can be developed
Where mi = the mass of jumper i (kg), kj = the spring constant for cord j (N/m), xi = the displacement of jumper i measured downward
From its equilibrium position (m), and g = gravitational acceleration (9.81 m/s2). Solve these equations for the positions and velocities of the three jumpers given the initial conditions that all positions and velocities are zero at t = 0. Use the following parameters for your calculations: m1 = 60 kg, m2 = 70 kg, m3 = 80 kg, k1 = k3 = 50, and k2 = 100 (N/m).
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