1. (100) Using Lagrangian formalism, solve the following problem: Model a snowboarder riding a half- pipe as a mass m that slides without friction on the inside surface of a cylinder that has its axis at a small angle 0 with respect to the horizon (to make it "downhill"). Write out the Lagrangian for the problem using Lagrange multiplier(s) so that the constraint(s) can be determined. Find the equations of motion. Solve for the constraint force(s) and explain what it (or they) represent. Note: You need not solve the equations of motion