Derive the equations for the double pendulum shown. After doing so, let L1= 1.4 m, L2= 2 m...

Derive the equations for the double pendulum shown. After doing so, let L1= 1.4 m, L2= 2 m, m1= 7.5 kg, and m2= 12 kg, and release the pendulum from rest with θ(0) = 25° and ϕ(0) = −37°. Integrate the equations of motion and plot the trajectory of each of the particles for at least 5 s.

Figure P3.131