Define a set of vectors that is suitable for a complete kinematic analysis of the rack-and-pinion mechanism. Label and show the sense and orientation of each vector. Assuming rolling with no slip between rack 4 and pinion 5, write the vector loop equation(s) for the mechanism. Identify suitable input(s), known quantities, unknown variables, and any constraints. If you identify constraints, then write the constraint equation(s).

Figure P2.15 Rack-and-pinion mechanism.