where \(\omega=\sqrt{\frac{k}{m}}\) is a real positive constant.
1.2 What if \(\omega\) was purely imaginary? Can you think of a physical system that would give such an equation of motion?
1.3 What is the relationship between \(\omega\) and the period of motion? Due to this relationship, we call \(\omega\) the angular frequency. The "angle" involved is the phase angle of the oscillation.