9-12-07 Motion in 2, 3 dimensions

9-12-07 Motion in 2, 3 dimensions - Physics 131, Lecture 3...

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Physics 131, Lecture 3 Physics 131, Lecture 3 Motion in two or three dimensions Prof. Abhay Deshpande C-101, 2-8109 SUNY-Stony Brook
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Physics 131, Lecture 3 Position Vector Last time we saw motion in one dimension. What happens when you add the other two dimensions y and z to these problems. Nothing profound! Only complicates things. But that is reality and so we deal with it in this lecture. Position vector r: x, y, and z are the components of vector r in three orthogonal axis and i,j,k are the unit vectors in X,Y,Z directions X Y Z
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Physics 131, Lecture 3 Rate of change of position is velocity: A particle is at r1 at time t1 and at position r2 at time t2 as it passes along the path S The average velocity is: The limit of average velocity as the time interval between measurements goes to zero: X Y Z S At every point along the path, the instantaneous Velocity is tangential to the path at that point
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Physics 131, Lecture 3 Vectors in components: Components: Vector: Magnitude of the vector: O x y φ
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9-12-07 Motion in 2, 3 dimensions - Physics 131, Lecture 3...

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