(Solved): A homogeneous rod of length L and mass m is hinged at point A. A spring with stiffness k is attached ...

A homogeneous rod of length L and mass m is hinged at point A. A spring with stiffness k is attached to the rod at point B, located at a distance 4/7L from A. The other end of the spring is fixed at point C, and the unstretched length of the spring is l_0=1/14. Initially, the rod is in a horizontal position and has an angular velocity ω1​. Eventually, it reaches an angular position θ, where it momentarily stops. Using the work-energy principle, determine the expression for the kinetic energy K1​ at the initial moment and the potential energy V2​ at the final moment when the rod stops. Don't forget to use Newton's second law of motion to find the answers!!