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Lecture_2-2D_Coplanar_Vector

# Lecture_2-2D_Coplanar_Vector - Force Vectors Lecture...

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Force Vectors Lecture 2-Coplanar Vectors (2-Dimensional Vectors) Section 2.4

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Learning Objectives Be able to resolve each force into its rectangular components F x and F y . Be able to define unit vectors i and j. Be able to represent the components of force in terms of the Cartesian unit vectors i and j. Be able to determine coplanar force resultants using the Cartesian unit vectors.
Pre-requisite Knowledge Units of measurements. Trigonometry concepts. Vector concepts.

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Rectangular Components of Force Vector Y X Θ F F x F y F = F x + F y Magnitude of θ cos = F F x Magnitude of θ sin = F F y
Cartesian Unit Vectors i: the Cartesian unit vectors in x-direction 1 unit 1 unit j: the Cartesian unit vectors in y-direction Y X i j

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Cartesian Unit Vectors- Examples Y X F 1 F 2 F 3 F 1 = 5 i + 2 j F 2 = 5 i - 4 j F 3 = -6 i F = F x i + F y j
Coplanar Force Resultants F R = Σ F F R = F Rx i + F Ry j F Rx = Σ F x F Ry = Σ F y = - Rx Ry F F 1 tan θ Y X Θ F R F Rx F Ry 2 2 Ry Rx R F F F + =

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Lecture_2-2D_Coplanar_Vector - Force Vectors Lecture...

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