lecture_08

d dx dy 44 d d b d 2 2 dx dy

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Unformatted text preview: called “scalars”: E, m, W, T, ρ PHYS‐2010 8 Components of Vectors Example: Displacement +y B !&quot; D Dy θ A 1/31/2014 PHYS‐2010 D x +x 9 Vectors: Ordered Pairs Example: Displacement +y !&quot; D = ( Dx , Dy ) B !&quot; D Represented as an ordered pair of numbers called vector components θ A 1/31/2014 Dy PHYS‐2010 D x +x 10 Magnitude from Vector Components Example: Displacement +y !&quot; D = ( Dx , Dy ) = (4,4) !&quot; D= |D| = B !&quot; D 2 2 Dx + Dy = 32 Dy=4 θ A Dx =4 +x Pythagorean Theorem 1/31/2014 PHYS‐2010 11 Room Frequency BA Clicker Ques;on ! &quot; V A displacement vector has has x‐component Vx = 4 km and y‐component Vy = 3 km. ! &quot; V What is the length (or magnitude) of the vector ? A)  5 km !&quot; V = | V | = 32 + 42 km = 5 km B) 16 km 3 km = Vy C) 25 km D) 32 km E)  49 km 1/31/2014 Vx= 4 km PHYS‐2010 12 Vector Components and Trigonometry Example: Displacement +y !&quot; &quot; D = ( Dx , Dy ) ! ( | D |, ! ) sin ! = o / h ! o = h sin ! cos! = a / h ! a =...
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This document was uploaded on 03/09/2014 for the course PHYSICS 2010 at Colorado.

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