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ELEMENTARY MECHANICS & THERMODYNAMICS Professor John W. Norbury Physics Department University of Wisconsin-Milwaukee P.O. Box 413 Milwaukee, WI 53201 November 20, 2000 2 Contents 1 MOTION ALONG A STRAIGHT LINE 1.1 Motion . . . . . . . . . . . . . . . . . . . . 1.2 Position and Displacement . . . . . . . . . 1.3 Average Velocity and Average Speed . . . 1.4 Instantaneous Velocity and Speed . . . . . 1.5 Acceleration . . . . . . . . . . . . . . . . . 1.6 Constant Acceleration: A Special Case . . 1.7 Another Look at Constant Acceleration . 1.8 Free-Fall Acceleration . . . . . . . . . . . 1.9 Problems . . . . . . . . . . . . . . . . . . 2 VECTORS 2.1 Vectors and Scalars . . . . . . . . . . . 2.2 Adding Vectors: Graphical Method . . 2.3 Vectors and Their Components . . . . 2.3.1 Review of Trigonometry . . . . 2.3.2 Components of Vectors . . . . 2.4 Unit Vectors . . . . . . . . . . . . . . 2.5 Adding Vectors by Components . . . . 2.6 Vectors and the Laws of Physics . . . 2.7 Multiplying Vectors . . . . . . . . . . 2.7.1 The Scalar Product (often called 2.7.2 The Vector Product . . . . . . 2.8 Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 12 12 14 17 18 20 23 24 28 . . . . . . . . . dot product) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 32 33 34 34 37 39 41 43 43 43 45 46 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .