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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 .. 39. Projectile motion .. 41. Relative velocity .. 44. 4 Newton's laws of motion 53. Introduction .. 53. Newton's first law of motion .

motion of a properly bowled bowling ball consists of a combination of trans-lational and rotational motion, whereas wave propagation is a combination of translational and oscillatory motion. Furthermore, the above mentioned types of motion are not entirely distinct: e.g., circular motion contains elements of both rotational and oscillatory motion.

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