3
\includegraphics[max width=\textwidth, alt={}, center]{139371b7-e142-4ed6-bff3-3ca4c32b9c6b-2_657_913_1450_616} A particle \(P\) of weight 1.4 N is attached to one end of a light inextensible string \(S _ { 1 }\) of length 1.5 m , and to one end of another light inextensible string \(S _ { 2 }\) of length 1.3 m . The other end of \(S _ { 1 }\) is attached to a wall at the point 0.9 m vertically above a point \(O\) of the wall. The other end of \(S _ { 2 }\) is attached to the wall at the point 0.5 m vertically below \(O\). The particle is held in equilibrium, at the same horizontal level as \(O\), by a horizontal force of magnitude 2.24 N acting away from the wall and perpendicular to it (see diagram). Find the tensions in the strings.
[0pt] [6]