CH-1 - Dr. Sabah AL-Naimi Qatar University Physics Program...

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Dr. Sabah AL-Naimi Qatar University Physics Program FALL 2009 PHYS191 1 A coordinate system used to specify locations in space consists of: A fixed reference point O , called the origin. A set of specified axes with appropriate scales and labels on the axes. Instructions that tell us how to label a point in space relative to the origin and axes. 1.1 Coordinate Systems A common coordinate system is called the Cartesian Coordinate system, Sometimes called the Rectangular Coordinate system, This system labeled with the coordinate (X,Y). The Cartesian Coordinate can be expressed through equations relating the coordinates (X,Y) to the Plane polar coordinates system (r, ). As follows: 2 2 y x r
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Dr. Sabah AL-Naimi Qatar University Physics Program FALL 2009 PHYS191 2 A scalar quantity has only magnitude and no direction. A vector quantity has both magnitude and direction. Addition & Subtraction: 1.2 Some properties of vectors A B B A B A B A C B A C B A A B B A ) ( ) ( ) ( Multiplication of a vector by a scalar: B k A k B A k B n A n B A n A m B n B n A m ) ( ) ( Where n , m & k are scalar quantities. 1.3 Examples Example (1): Find the sum of the two vectors A and B lying in x - y plane and given by: j i B j i A 3 2 & 5 3 j i j j i i j i j i B A 2 5 3 5 2 3 ) 3 2 ( ) 5 3 ( Solution:
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Dr. Sabah AL-Naimi Qatar University Physics Program FALL 2009 PHYS191 3 k j i k k j j i i k j i k j i k j i k j i k j i C B A b 5 . 0 4 7 5 . 1 2 2 2 6 0 5 . 1 2 2 2 6 ) 2 ( 0 ) 3 4 2 ( 5 . 0 ) 3 ( 2 0 5 . 0 2 ) Example (2): Find the sum of three vectors A , B and C lying in x - y plane and given by: j i C j i B j i A , 6 20 , 2 2 Solution: j i j j j i i i j i j i j i C B A 7 23 6 2 20 2 ) ( ) 6 20 ( ) 2 2 ( Example (3): Find the following : k j i C k j i B k j i A where C B A b C B A a 2 , 3 4 2 , 3 0 5 . 0 2 ) , 5 3 ) Solution: k j i k k k j j j i i i k j i k j i k j i k j i k j i k j i C B A a 18 8 14 10
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This note was uploaded on 10/12/2011 for the course PHYSICS 101 taught by Professor Khidr during the Spring '11 term at Qatar University.

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CH-1 - Dr. Sabah AL-Naimi Qatar University Physics Program...

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