Final answer:
In simple harmonic motion, potential energy equals kinetic energy at the spring's equilibrium position, where it is neither compressed nor extended.
Step-by-step explanation:
The location where potential energy equals kinetic energy in the case of a spring not obeying Hooke's Law is a bit more complex to determine than in simple harmonic motion where Hooke's Law is followed. However, in simple harmonic motion scenarios, the point where potential and kinetic energy are equal is commonly at the equilibrium position of the spring's movement. This is when the spring is neither compressed nor extended. For a spring that does not obey Hooke's Law, without specific information on how it behaves, it's challenging to say exactly where this point will be. However, it is often the case that at the equilibrium position, potential energy is converted into kinetic energy, and vice-versa, as the spring moves through its cycle.
The location where potential energy equals kinetic energy in the case of a spring not obeying Hooke's Law is at maximum compression.