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Unformatted text preview: 1 Problem 1 Determine the magnitude of the resultant force F R = F 1 + F 2 + F 3 and its direction, measured counterclockwise from the positive x-axis . F Rx = F 1x + F 2x + F 3x = - 0.703 kN , F Ry = F 1y + F 2y + F 3y = 0.708 kN F R = 0.998 kN θ = 134.8 o Given: F 1 = 600 N F 2 = 800 N F 3 = 450 N α = 45 deg m β = 60 deg γ = 75 deg Problem 2 Resolve the force F 2 into components acting along the u and v axes and determine the magnitudes of the components. Given: F 1 = 300 N F 2 = 500 N α = 30 deg β = 45 deg γ = 70 deg Problem 3 The boat is to be pulled onto the shore using two ropes. Determine the magnitudes of forces T and P acting in each rope in order to develop a resultant force F 1 , directed along the keel axis aa as shown. Given: θ = 40 deg θ 1 = 30 deg F 1 = 80 lb 2 Problem 4 The chandelier is supported by three chains, which are concurrent at point O . If the resultant force at O has magnitude F R and is directed along the negative z-axis , determine the force in each chain assuming F A = F B = F C = F . a = 6 ft b = 4 ft F R = 130 lb Problem 5 Cable BC exerts force F on the top of the flagpole. Determine the projection of this force along the z-axis of the pole....
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