Problem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- sists of a bob of mass m, connected to a spring of spring constant k Let lo be the length of the spring at equilibrium, and r be the elongation. The bob is free to move in 3D. 1. Calculate the degrees of freedom of the block 2. What is the kinetic energy of the block 3. What is the potential energy of the block 4. Write the Lagrangian function (don't derive the Euler Lagrange equa- tions)

Problem 2 Consider the elastic pendulum shown in the figure below.The pendulum con- sists of a bob of mass m, connected to a spring of spring constant k Let lo be the length of the spring at equilibrium, and r be the elongation. The bob is free to move in 3D. 1. Calculate the degrees of freedom of the block 2. What is the kinetic energy of the block 3. What is the potential energy of the block 4. Write the Lagrangian function (don't derive the Euler Lagrange equa- tions)