A mass m=0.40kg is attached to a vertical spring of force constant k=64Nm−1. The mass is set into small–amplitude vertical simple harmonic motion of amplitude 8.0cm.
(i) Calculate the period of oscillation.
(ii) Find the time interval between two successive upward crossings of a point that is 3.0cm below the equilibrium position.
(iii) Compare the interval obtained in part (ii) with the interval between two successive downward crossings of the same point and give a reason for any equality or inequality observed.