1.1. State the energy transfers taking place during one complete oscillation of a vertical mass-spring system, starting when the mass is at its highest point.

1.2. A spring, which obeys Hooke’s law, hangs vertically from a fixed support. A force of 3.0 N is required to produce an extension of 60 mm.

A mass of 0.70 kg is attached to the lower end of the spring and is pulled down a distance of 10 mm from the equilibrium position before being released. 

Show that the frequency of the simple harmonic vibrations is 1.3 Hz.

1.3. Sketch the displacements of the mass against time on Figure 1, starting from the moment of release and continuing for two full oscillations. Show appropriate time and distance scales on the axes. 

Figure 1

1.4. (i) State at which point in the cycle the mass has its maximum acceleration. 

(ii) Calculate the acceleration of the mass at that point.