Phys2A_F07_Lecture_08

Phys2A_F07_Lecture_08 - Motion in Two Dimensions The...

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W. P. Beyermann Fall 2007 1 Motion in Two Dimensions The kinematic equations are vector equations, so the motion in orthogonal directions is independent of each other.

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W. P. Beyermann Fall 2007 2 Kinematics in Two-Dimension j y i x r ˆ ˆ + = G j y i x r r r i f ˆ ˆ Δ + Δ = = Δ G G G Review Position: Displacement: Instantaneous Velocity: N N j v dt dy i v dt dx dt r d t r v y x t ˆ ˆ lim 0 + = = Δ Δ = Δ G G G
W. P. Beyermann Fall 2007 3 The trajectory is the path the particle takes as seen in a graph of y versus x .

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W. P. Beyermann Fall 2007 4 N N j a dt dv i a dt dv dt v d t v a y y x x t ˆ ˆ lim 0 + = = Δ Δ = Δ G G Instantaneous Acceleration: + = a a a G G G || j a i a a y x ˆ ˆ + = G
W. P. Beyermann Fall 2007 5 Constant Acceleration 2 2 1 ) ( t a t v x x x ix i f Δ + Δ + = t a v v x ix fx Δ + = ) ( 2 2 2 i f x ix fx x x a v v + = 2 2 1 ) ( t a t v y y y iy i f Δ + Δ + = t a v v y iy fy Δ + = ) ( 2 2 2 i f y iy fy y y a v v + = Two independent sets of equations that are linked through Δ t , which is common to both.

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This note was uploaded on 04/07/2008 for the course PHY 2A taught by Professor Beyermann during the Fall '08 term at UC Riverside.

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Phys2A_F07_Lecture_08 - Motion in Two Dimensions The...

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