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9709 P42 - Nov 2021 - Q6
3669

A block of mass 5 kg is held in equilibrium near a vertical wall by two light strings and a horizontal force of magnitude \(X\) N, as shown in the diagram. The two strings are both inclined at 60° to the vertical.

(a) Given that \(X = 100\), find the tension in the lower string.

(b) Find the least value of \(X\) for which the block remains in equilibrium in the position shown.

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