5.
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A uniform rod \(X Y\), of length \(2 a\) and mass \(m\), is connected to a vertical wall by a smooth hinge at the end \(X\). A horizontal light inelastic string connects the mid-point of \(X Y\) to the wall and the rod is in equilibrium in this position.
- Draw a diagram to show all the forces acting on the rod.
Given that the tension in the horizontal string is of magnitude \(2 m g\),
- find the angle which \(X Y\) makes with the vertical.