Physics 101 Lecture 3

# Physics 101 Lecture 3 - HW 3 assignments Q 14,16,20 P...

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Chapter 3 Vectors and Two-Dimensional Motion Dr. Armen Kocharian HW 3 assignments Q 14,16,20 P 5,7,16,23,25,32,42

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Vector vs. Scalar Review ± All physical quantities encountered in this text will be either a scalar or a vector ± A vector quantity has both magnitude (size) and direction ± A scalar is completely specified by only a magnitude (size)
Vector Notation ± When handwritten, use an arrow: ± When printed, will be in bold print with an arrow: ± When dealing with just the magnitude of a vector in print, an italic letter will be used: A A r A r

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Properties of Vectors ± Equality of Two Vectors ± Two vectors are equal if they have the same magnitude and the same direction ± Movement of vectors in a diagram ± Any vector can be moved parallel to itself without being affected
More Properties of Vectors ± Negative Vectors ± Two vectors are negative if they have the same magnitude but are 180° apart (opposite directions) ± ± Resultant Vector ± The resultant vector is the sum of a given set of vectors ± ( ) ;0 =− + − = AB A A rr r r =+ RA B r

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Adding Vectors ± When adding vectors, their directions must be taken into account ± Units must be the same ± Geometric Methods ± Use scale drawings ± Algebraic Methods ± More convenient
Adding Vectors Geometrically (Triangle or Polygon Method) ± Choose a scale ± Draw the first vector with the appropriate length and in the direction specified, with respect to a coordinate system ± Draw the next vector with the appropriate length and in the direction specified, with respect to a coordinate system whose origin is the end of vector and parallel to the coordinate system used for A r A r

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Graphically Adding Vectors, cont. ± Continue drawing the vectors “tip-to- tail” ± The resultant is drawn from the origin of to the end of the last vector ± Measure the length of and its angle ± Use the scale factor to convert length to actual magnitude A r R r
Graphically Adding Vectors, cont. ± When you have many vectors, just keep repeating the process until all are included ± The resultant is still drawn from the origin of the first vector to the end of the last vector

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Notes about Vector Addition ± Vectors obey the Commutative Law of Addition ± The order in which the vectors are added doesn’t affect the result ± +=+ AB BA rrrr
Vector Subtraction ± Special case of vector addition ± Add the negative of the subtracted vector ± ± Continue with standard vector addition procedure ( ) −= + AB A B rr r r

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## This note was uploaded on 03/05/2011 for the course PHYS 101 taught by Professor Armenn.kocharian during the Fall '10 term at California State University Los Angeles .

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Physics 101 Lecture 3 - HW 3 assignments Q 14,16,20 P...

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