The equations below define a dynamic model for a double pendulum. Verify the equations are correct and note the assumptions necessary to arrive at the given equations of motion. Convert the equations to state$-$space form. $($Note: This is not a modelling course which is why I give you the model in almost every case. But $-$ in the real world $-$ you will need to define your system's model. This is what you did $($or will$)$ learn in other courses in your program. As an ME$,$ even if you are given the model, you should be able to discern what assumptions were made and if the model is valid. If it is not $-$ or if your operating range exceeds the assumptions $-$ then the controller you design will not be very helpful.$)$