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A uniform square sign with sides of length 0.68 m is fixed at its corner points A and B to a wall. The sign is also supported by a wire CD, as shown in Fig. 3.1. The sign has weight W and centre of gravity at point E. The sign is held in a vertical plane with side BC horizontal. The wire is at an angle of 35° to side BC. The tension in the wire is 54 N. The force exerted on the sign at B is only in the vertical direction.

(i) Calculate the vertical component of the tension in the wire.
(ii) Explain why the force on the sign at B does not have a moment about point A.

This problem involves calculating the vertical component of the tension in a supporting wire and explaining the moment conditions in a static equilibrium scenario for a uniform square sign. The sign has a weight W, a side length of 0.68 m, and is supported by a 54 N tension wire at a 35° angle. Suitable for high school physics students in Grades 11-12.

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