Probability — practice question

Points A and $B$ are fixed on a vertical line, with $A$ positioned $0.6\,\text{m}$ above $B$. A particle $P$ with mass $0.3\,\text{kg}$ is connected to $A$ by a light inextensible string of length $0.5\,\text{m}$. The particle $P$ is also connected to $B$ by a light elastic string whose modulus of elasticity is $46\,\text{N}$. The particle $P$ travels at constant angular speed $8\,\text{rad s}^{-1}$ in a horizontal circle centred at the midpoint of $AB$.