PHY101_Chap3Fall09

PHY101_Chap3Fall09 - Chapter 3 Vectors and Two-dimensional...

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Chapter 3 Vectors and Two-dimensional motion
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Vector vs. Scalar • All physical quantities will be either a scalar or a vector • A vector quantity has both magnitude (size) and direction (sign) • A scalar is completely specified by only a magnitude (size) • Equality of Two Vectors – Two vectors are equal if they have the same magnitude and the same direction
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Quiz 1 Which of the following is a vector? 1. velocity 2. temperature 3. volume 4. mass
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A jogger runs halfway around a circular path with a radius of 60 m. What, respectively, are the magnitude of the displacement and the distance jogged? 1. 60 m, 188 m 2. 120 m, 188 m 3. 0 m, 377 m 4. 120 m, 377 m Quiz 2
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3.1 Vectors and their properties Negative Vectors – Two vectors are negative if they have the same magnitude but are in opposite directions Resultant Vector – The resultant vector is the sum of a given set of vectors
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Adding vectors • 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
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Addition of vectors • 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
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Vector Subtraction • Special case of vector addition – Add the negative of the subtracted vector • Continue with standard vector addition procedure
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Quiz 3 Vector A is 3 m long and vector B is 4 m long. The length of the sum of the vectors must be 1. 7 m 2. 5 m 3.12 m 4.Somewhere between 1 and 7 m
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3.2 Components of a Vector • A component is a part • It is useful to use rectangular components – These are the projections of the vector along the x- and y-axes
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This note was uploaded on 01/02/2010 for the course PHY 101 taught by Professor Pralle during the Fall '08 term at SUNY Buffalo.

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PHY101_Chap3Fall09 - Chapter 3 Vectors and Two-dimensional...

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