Biomechanics_course_gw_02_03 force moment_gw

# Biomechanics_course_gw_02_03 force moment_gw - Course BMEN...

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Course BMEN 260 Introduction to Biomechanics LECTURE # 2 Basic Concepts in vectors, force and moment

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Vector Definition: a quantity having Direction Magnitude: scalar quantity In Cartesian coordinate F = F x i + F y j Magnitude of F is F 2 = F x 2 + F y 2 Notation: there are various notations, we use underbar, i.e. F In graphical solution Projection of vector Unit vector F = Ff f = F / F, f -> is a unit vector, whose magnitude is 1. Resolution of vector In a 2D plane and two perpendicular directions Cartesian coordinate (or rectangular coordinate) Consists of three mutually perpendicular axes Unit vector I , j , and k are normally used in Cartesian coordinate F F x = F cos θ θ F y = F sin θ x y
Vector Addition of vectors: trigonometric method F = F x i + F y j 3D vector Extension of 2D Dot (or scalar) product Is a scalar F . G = FG cos ( α β ) Cross product of vectors Is a vector F

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## This note was uploaded on 02/08/2012 for the course BMEN 260 taught by Professor Mr.wang during the Spring '12 term at South Carolina.

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Biomechanics_course_gw_02_03 force moment_gw - Course BMEN...

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