102-quiz-2TH-Sol

# 102-quiz-2TH-Sol - Problem 1 Determine the magnitude of the...

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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

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