Lec1 - General Physics MATHEMATICAL CONCEPTS Addition of...

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General Physics Dr. Brahmia 1 MATHEMATICAL CONCEPTS Addition of Vectors The resultant of two vectors that point in the same direction will be the arithmetic sum of the magnitudes, and the direction of the resultant will be the direction of the original vectors. R B A x y MATHEMATICAL CONCEPTS... Addition of Vectors… If the vectors are in opposite directions, the resultant vector will have a magnitude equal to the difference in the magnitudes of the original vectors and the direction of the resultant will be the same as the direction of the vector which has the greater magnitude. R B A x y
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General Physics Dr. Brahmia 2 MATHEMATICAL CONCEPTS... Addition of Vectors… If the vectors are at some angle to each other than 0 or 180 , then special methods must be used to determine the magnitude and direction of the resultant. The Tip to Tail method consists of moving the vectors parallel to their original direction until the tail of one vector is at the tip of the
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Unformatted text preview: next vector. + = R B A MATHEMATICAL CONCEPTS. .. • Subtraction of Vectors… – The same Tip to Tail method can be used with a slight adjustment. .. + = R B A -= R B A General Physics Dr. Brahmia 3 MATHEMATICAL CONCEPTS. .. • Addition of Vectors. .. – 2) Analytical Method – In the trigonometric component method, each of the original vectors are expressed in horizontal (x) and vertical (y) components. – This method is by far the most useful for this course. cos A A x sin A A y 2 2 y x A A A x y A A 1 tan MATHEMATICAL CONCEPTS. .. • Problem – A man walks 50 meters due west, then 50 meters 60 north of west. Determine the magnitude and direction of the resultant displacement using the vector component method....
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