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.
a. (i) Calculate the period of oscillation.
b. (ii) Find the time interval between two successive upward crossings of a point that is 3.0cm below the equilibrium position.
c. (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.