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A block of mass 5 kg is held in equilibrium near a vertical wall by two light strings and a horizontal force of magnitude \(X \mathrm {~N}\), as shown in the diagram. The two strings are both inclined at \(60 ^ { \circ }\) to the vertical.
- Given that \(X = 100\), find the tension in the lower string.
- Find the least value of \(X\) for which the block remains in equilibrium in the position shown. [4]