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Three cords are knotted together at a (free-standing) point O. Two of the cords pass over small frictionless pulleys at A and B on either

Three cords are knotted together at a (free-standing) point O. Two of the cords pass over small frictionless pulleys at A and B on either side of O. The third cord hangs freely under O. The pulleys are separated horizontally by a distance of 2m, with pulley B positioned Im lower than the level of pulley A. Hanging from each cord is a body of weight: w, w3, and w2 respectively, at A, O and B(!!!). With the system in equilibrium, the cord section OA makes an angle 0, with the horizontal, while the cord section OB makes an angle of 02 with the horizontal. (a) Draw a diagram representing the set up of weights and pulleys. (b) Determine the weights w and w if w (c) Determine the weights w and w3 if w2 20N, 01 20N, 01 53 and 02 37. 30 and 02=0

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