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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.

The mks unit of time is the second (symbol s), which was formerly dened in terms of the Earth’s rotation, but is now dened as the time for 9;192;631;770 oscillations associated with the transition between the two hyperne levels of the ground state of the isotope Cesium 133. In addition to the three fundamental quantities, classical mechanics ...

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