Consider a mass m which is attached to two identical springs on a flat frictionless surface. The figure shows an overhead view of the setup. The mass only moves along the z-axis. When r = 0 the springs are at their natural lengths of L. Analyse the system's potential energy to determine whether or not the mass's small amplitude oscillations can be modelled as simple harmonic motion. Explain how you reach your conclusion. Do not reinvent the wheel! Use the results in the Mathematical Handbook. x=0) X