2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{631b78c4-2763-4a1e-9d30-2f301fe3af2e-04_252_842_285_609}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
A light elastic string AB has natural length I and modulus of elasticity 2 mg .
The end A of the elastic string is attached to a fixed point. The other end B is attached to a particle of mass m . The particle is held in equilibrium, with the elastic string taut and horizontal, by a force of magnitude F . The line of action of the force and the elastic string lie in the same vertical plane. The direction of the force makes an angle \(\alpha\), where \(\tan \alpha = \frac { 3 } { 4 }\), with the upward vertical, as shown in Figure 2.
Find, in terms of I , the length AB .
\includegraphics[max width=\textwidth, alt={}, center]{631b78c4-2763-4a1e-9d30-2f301fe3af2e-04_2264_53_311_1981}