Chapt 3

# Chapt 3 - Motion in Two Dimensions Chapter 3 Components of...

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1 Motion in Two Dimensions Chapter 3 Components of Motion Kinematic Equations for Motion in Two Dimensions For Constant Acceleration c x = x 0 + v 0x t + ½ a x t 2 c y = y 0 + v 0y t + ½ a y t 2 c v x = v 0x + a x t c v y = v 0y + a y t c v x 2 = v 0x 2 + 2a x (x – x 0 ) c v y 2 = v 0y 2 + 2a y (y – y 0 )

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2 Curvilinear Motion Scalar and Vector Quantities c Scalar quantities are completely described by magnitude only. c Time, Mass: e.g. c Vector quantities need both magnitude and direction to completely describe them c Displacement, Velocity, Acceleration: e.g. c Represented by an arrow, the length of the arrow is proportional to the magnitude of the vector c Head of the arrow represents the direction c Generally printed in bold face type Properties of Vectors c Equality of two vectors c Two vectors are equal if they have the same magnitude and the same direction c Movement of vectors in a diagram c Any vector can be moved parallel to itself without being affected. i.e. its origin can be moved, but its magnitude or direction cannot be changed. c When adding vectors, their directions must be taken into account c Units must be the same
3 Adding Vectors c Two General Methods c Graphical Methods c Use scale drawings c Algebraic (Analytic) Methods c More convenient Adding Vectors Graphically Parallelogram Method c Choose a scale c Draw the first vector A with the appropriate length and in the direction specified, with respect to a coordinate system c Draw the next vector

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## This note was uploaded on 01/05/2012 for the course PHYS 1401 taught by Professor Jamesr.boyd during the Spring '09 term at Collins.

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Chapt 3 - Motion in Two Dimensions Chapter 3 Components of...

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