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tutorial 2 - Cartesian vector and then determine the...

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ME1300 – Statics Tutorial 2 1. A position vector extends from the origin to point A(2 m,3 m,6 m). Determine the angles γ β α , , which the tail of the vector makes with the x,y,z axes, respectively. Answer: o o o 0 . 31 , 6 . 64 , 4 . 73 = = = γ β α 2. Express the position vector r in Cartesian vector form; then determine its magnitude and coordinate direction angles. Answer: r = 3 i +6 j -2 k ; r = 7 m ; α = 64.6, β = 31.0, γ = 106.6 3. The hinged plate is supported by the cord AB. If the force in the cord is F=340N, express this force, directed from A toward B as a Cartesian vector. What is the length of the cord? Answer: F = {-154.9 i -193.62 j + 232.35 k } N ; 4.39 m
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ME1300 – Statics Tutorial 2
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Unformatted text preview: Cartesian vector and then determine the magnitude and coordinate direction angles of the resultant force. Answer: α = 63.3 ; β = 92.5 ; γ = 15.4 ME1300 – Statics Tutorial 2 5. Determine the angle θ between the y axis of the pole and the wire AB. Answer: θ = 70.5 6. Determine the components of F that act along rod AC and perpendicular to it. Point B is located at the midpoint of the rod. Answer: 99.1 N ; 592 N ME1300 – Statics Tutorial 2 7. Determine the projection on the force F along the pole. Answer: .667 KN...
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