01-review - Phys 212 - Fall 2009 8/21/2009 Introduction...

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Phys 212 - Fall 2009 8/21/2009 Introduction Review
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Course Information Syllabus, TimeTable - see Blackboard Labs and CAPA start next week! Homework Due on Wednesday evenings HW1 open, due next Wednesday night Will use clickers
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Displacement, Velocity, Acceleration v avg = Δ r Δ t = Δ x Δ t ˆ i + Δ y Δ t ˆ j + Δ z Δ t ˆ k Velocity a avg = Δ v Δ t = v 2 v 1 Δ t Acceleration Treat each orthogonal direction separately! v = lim Δ t 0 Δ r Δ t = d r dt a = lim Δ t 0 Δ v Δ t = d v dt Instantaneous Δ r = r 2 r 1 Displacement Δ r = ( x 2 x 1 ) ˆ i + ( y 2 y 1 ) ˆ j ( z 2 z 1 ) ˆ k Δ r = Δ x ˆ i + Δ y ˆ j + Δ z ˆ k
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Vectors Express all vectors via unit vector notation a = a x ˆ i + a y ˆ j a x = a cos( θ ) a y = a sin( ) a = x 2 + a y 2 tan( ) = y x
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Vector Multiplication a b = b a Commutative Law Order does not matter a b = a x b x + a y b y + a z b z A B = | A || B | cos( φ ) Scalar Product “Dot” Product Vector Product “Cross” Product | a × b | = | a || b | sin( ) a × b b × a not commutative a × b = ( a y b z a z b y ) ˆ i + ( a z b x a x b z ) ˆ
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01-review - Phys 212 - Fall 2009 8/21/2009 Introduction...

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