(a)[2]
State the defining equation for simple harmonic motion. Give the meaning of each symbol used to denote the physical quantities.
(b)
Fig. 3.2 shows how the velocity $v$ varies with displacement $x$ from the equilibrium position of the object.
(b(i))[1]
Determine the amplitude $x_0$ of the oscillations.
(b(ii))[2]
Show that the angular frequency of the oscillations is $1.7\,\text{rad s}^{-1}$.
(b(iii))[2]
Determine the mass $M$ of the object.
(c(i))[2]
The object’s oscillations are now lightly damped. State what is meant by damping.
(c(ii))[2]
Assume that damping does not alter the angular frequency of the oscillations. On Fig. 3.2, sketch how $v$ varies with $x$ when the oscillation amplitude is $0.060\,\text{m}$.