Lect6-ch4_2 - PHY 2053C College Physics A Spring 2004 L6Ch4...

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1 PHY 2053C – College Physics A Spring 2004 Today: Dynamics: Newton’s Laws of Motion Newton's laws (3) Problem solving: free- body diagrams Motion, Forces, Energy, Heat, Waves Dr. David M. Lind Dr. Kun Yang Dr. David Van Winkle L6—Ch4 Given V and q we can find V x and V y : (vector form to component form) V x = V cos q V y = V sin q And vice versa : (component form to vector form) V = V x 2 + V y 2 q = arc tan( V y / V x ) = tan -1 ( V y / V x ) A little review: Using Vectors Converting between the two forms of vectors : y x V = 5 m, θ = 37 o V x = 4 m V y = 3 m
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2 A little review: Adding Vectors - Graphically Head-to-tail Method Parallelogram Method move tail of V 2 to end head of V 1 draw resulting vector V from tail of V 1 1 to head of V 2 draw parallelogram using V 1 , V 2 draw resulting vector V diagonally across parallelogram from tails of V 1 , V 2 A little review: Adding Vector Components V 2x V 2y V 1x V 1y V tx V Ty horizontal components: V tx = V 1x + V 2x vertical components: V Ty = V 1y + V 2y We have to add both x and y -components separately!
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