Consider the system given in the figure. The spring may sustain compressive as well as tensile forces, and its unstretched length is L/2. The mass of each bar is m, and m is the mass of collar C. Bar AB is pinned from point A. Use Lagrange's equations to derive the equation of motion for 0. Hint: Notice triangle ABC is an isosceles triangle, try to write position vectors for G and C in terms of 0 L2 M G C