Transcription of Classical Mechanics
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Classical Mechanics
Classical Mechanics An introductory course Richard Fitzpatrick Associate Professor of Physics The University of Texas at Austin Contents 1 Introduction 7. Major sources: .. 7. What is Classical Mechanics ? .. 7. mks units .. 9. Standard prefixes .. 10. Other units .. 11. Precision and significant figures .. 12. Dimensional analysis .. 12. 2 Motion in 1 dimension 18. Introduction .. 18. Displacement .. 18. velocity .. 19. Acceleration .. 21. Motion with constant velocity .. 23. Motion with constant acceleration .. 24. Free-fall under gravity .. 26. 3 Motion in 3 dimensions 32. Introduction .. 32. Cartesian coordinates .. 32. Vector displacement .. 33. Vector addition .. 34. Vector magnitude .. 35. 2. Scalar multiplication .. 35. Diagonals of a parallelogram .. 36. Vector velocity and vector acceleration .. 37. Motion with constant velocity .. 39. Motion with constant acceleration.
and time. For instance, a velocity can be reduced to a length divided by a time. Hence, the mks units of velocity are meters per second: [v] = [L] [T] = ms-1: (1.1) Here, vstands for a velocity, Lfor a length, and T for a time, whereas the operator [ ] represents the units, …
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