Probability — practice question

A particle with mass $0.24\,\text{kg}$ is connected to one end of a light inextensible string of length $2\,\text{m}$. The string’s other end is fixed at a point. The particle travels at constant speed around a horizontal circle. The string is inclined at angle $\theta$ to the vertical (see diagram), and the tension in the string is $T\,\text{N}$. The particle has acceleration of magnitude $7.5\,\text{m s}^{-2}$.