AP1200_Ch1_Mechanics-2Vect_Kinem-2007

# AP1200_Ch1_Mechanics-2Vect_Kinem-2007 - AP1200 1 Mechanics...

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1 AP1200 – 1. Mechanics Concepts AP1200 – 1. Mechanics Concepts 1.2 Vectors and kinematics 1.2 Vectors and kinematics Michel A. Van Hove Michel A. Van Hove WARNING: PRINTING THIS DOCUMENT WILL USE MUCH INK AND WILL NOT SHOW ANIMATIONS.

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2 Vectors Vectors Vectors are very useful in physics Definition: a vector quantity is a quantity that has both a magnitude and a direction in contrast, a scalar quantity has a magnitude only and no direction Examples: Vectors Scalars displacement distance velocity speed acceleration mass force time See also http://hyperphysics.phy-astr.gsu.edu/hbase/vect.html
3 Question: velocity Question: velocity A car travels at 50 km/h is 50 km/h its velocity? no: it is its speed You walk to the north at 5 km/h is this a velocity? yes

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4 Vector notation and addition Vector notation and addition Notations vectors are written is various ways: with arrow or hat: a , in bold characters: a underlined: a Magnitude of a vector: a = | a | Adding two displacements (vectors) the result is a vector sum the result is again a vector b a s b b + = i ˆ
5 Questions: vector addition Questions: vector addition Is a + b = b + a ? Is a + ( b + c ) = ( a + b ) + c ? Like scalar addition: a + b = b + a , a + ( b + c ) = ( a + b ) + c

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6 Question: equal vectors? Question: equal vectors? Are these vectors equal?
7 Vector components and algebra Vector components and algebra Unit vector : a vector of magnitude 1, pointing in a particular direction e.g.: , , (hat!) for Cartesian coordinates Vector decomposition into components: Vector multiplied by a scalar is still a vector: Dot product of two vectors is a scalar (not vector): ( θ

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AP1200_Ch1_Mechanics-2Vect_Kinem-2007 - AP1200 1 Mechanics...

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