Question

What about gravity? What effect does that have on Hooke's Law?

Answer 1

gravity has no effect as far as its on the earth it will be 9.8 m/s/s. but be careful your can be given a question with a rope inclined on a surface and so you will need to resolve an there acceleration is going to change .assuming friction is not there a=gsinx

Answer 2

The short answer is gravity has no effect on Hooke's law per se. However, in an analysis of system where gravity is present, you need to include that in your analysis.

For example, suppose you have a spring hanging from a horizontal surface with a mass on the end. In the absence of gravity the equilibrium position for the mass is exactly where the spring is in a relaxed state. But with gravity, the equilibrium position of the spring will be the position y where the force of the spring, ky upwards, cancels the force mg downwards.