Write the equations of motion for the double-pendulum system shown in Fig. 2.41. Assume that the displacement angles of the pendulums are small enough to ensure that the spring is always horizontal. The pendulum rods are taken to be massless, of length I, and the springs are attached three-fourths of the way down.
![1815_096b6427-57ba-441d-a236-d8c610de4022.png](https://secure.tutorsglobe.com/CMSImages/1815_096b6427-57ba-441d-a236-d8c610de4022.png)
Figure 2.41 Double pendulum