Topic 1 2D Motion PHYSICS 231 Current Assignments Homework Set 1 due this Thursday Jan 20 11 pm 20 Homework Set 2 due Thursday Jan 27 11pm 11 g Chapter 4 5 for next week Reading 1 19 2011 Physics 231 Spring 2011 2 Key Concepts 2D motion Vector Displacement Velocity and Acceleration are vectors Representations Graphical angle and magnitude p components Add subtract vectors Decompose in components and add components to obtain total vector Treat 2D motion as 2 separate problems one for x direction and one for y direction d decompose allll vectors t iin x and d y components t 1 19 2011 Physics 231 Spring 2011 3 Vector Concept A vector is a quantity that has a direction and a magnitude Examples so far displacement velocity and acceleration In 1D the direction was given by the sign and d a coordinate di t axis i di direction ti In 2D its more complicated Different representations can be used 1 19 2011 Physics 231 Spring 2011 4 Representation Graphical Graphically as arrow Direction is direction of arrow Magnitude is length of arrow need to define some scale l Note where one draws the arrow is irrelevant Addition by y adding g arrows form a chain Subtraction by adding a inverted arrow 1 19 2011 Physics 231 Spring 2011 5 2D Motion Concepts Treat as two separate 1D problems with ti time as th the common parameter t In X direction calculate with x components v x t v 0x ax t 1 2 x t x 0 v 0x t ax t 2 In Y direction calculate with y components v y t v 0y ay t 1 19 2011 1 2 y t y 0 v 0y t ay t 2 Physics 231 Spring 2011 6
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