Sure why not! For the lagrangian I get
$$\mathcal{L}=T-V=\frac{1}{2}m(L\dot{\theta})^2+\frac{1}{2}M(L\dot{\theta})^2+\frac{1}{2}k_T\theta^2-(Mgh-mgH)$$
so...
Summary:: Classical problem about a pendulum!
The problem itself:
My FBD:
I want to solve the problem with vectors, I think that you can use energy principle somehow. If we define the vector ##\vec{O}_B=\begin{bmatrix}0\\ -1\end{bmatrix}## and define a rotational matrix where...