My question here isn't a specific question that has been given for homework, but a more general one. For an assignment I have to 'derive an expression for the resonant frequency, ω0' for two different systems, the first for 'a mass M connected to rigid walls via two springs' and the second 'a free oscillator composed of an LC circuit'.
Without specificity to either question, what formula/'recipe' should I follow in general, in order to derive these expressions?
The Attempt at a Solution
I am pretty sure I will have to start by finding an equation of motion? The problem here is less the algebra and more the understanding behind it.