A uniform beam AB has length 2m and weight 70N. The beam is hinged at A to

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A uniform beam AB has length 2m and weight 70N. The beam is hinged at A to a fixed point on a vertical wall, and is held in equilibrium by a light inextensible rope. One end of the rope is attached to the wall at a point 1.7m vertically above the hinge. The other end of the rope is attached to the beam at a point 0.8m from A. The rope is at right angles to AB. The beam carries a load of weight 220N at B (see diagram).

i. Find the tension in the rope.

ii. Find the direction of the force exerted on the beam at A.

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