A particular spring–mass oscillator oscillates with period T. Write out the general equation for the period of such an
oscillator to use as a guide when answering the following questions.
(a) If you double the mass but keep the stiffness the same, by what numerical factor does the period change? (That is, if
the original period was T and the new period is , what is b?)
(b) If, instead, you double the spring stiffness but keep the mass the same, what is the factor b?
(c) If, instead, you double the mass and also double the spring stiffness, what is the factor b?
(d) If, instead, you double the amplitude (keeping the original mass and spring stiffness), what is the factor b?