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MER201: Particle Mechanics

MER201: Particle Mechanics. Fall 2005, T/Th 9:00am -10:40am F 1:45pm – 2:50pm Professor Ronald B. Bucinell, Ph.D., P.E. Union College Department of Mechanical Engineering Steinmetz 214 388-6023 bucinelr@union.edu http://engineering.union.edu/~bucinelr/RBB.

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MER201: Particle Mechanics

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  1. MER201: Particle Mechanics Fall 2005, T/Th 9:00am -10:40am F 1:45pm – 2:50pm Professor Ronald B. Bucinell, Ph.D., P.E. Union College Department of Mechanical Engineering Steinmetz 214 388-6023 bucinelr@union.edu http://engineering.union.edu/~bucinelr/RBB Mer210: Particle Mechanics

  2. Course Structure and Grading • Course web site • http://engineering.union.edu/~bucinelr/MER201 ESC020: Rigid Body Mechanics

  3. Mechanics • Approach • An intellectual discipline, preparatory to engineering design • A set of INVARIANT rules will be used • Define a given problem • Gain experience • Sharpen intuition • Discipline requires that intuition be regarded as a human trait that is developed through experience • Intuition is used to check the solution of a problem, but should never be used in problem definition for in many instances it violates the governing rules of analysis ESC020: Rigid Body Mechanics

  4. Historical Perspective of Mechanics • Egyptians Imperial Rule • 384-322 BC: Aristotle • 287-212 BC: Archimedes • Lever • Buoyancy • Equilibrium ESC020: Rigid Body Mechanics

  5. Historical Perspective of Mechanics Continued • 1548-1620AD: Stevinus • Laws of Vector Addition • 1564-1642: Galileo • First to investigate dynamics • 1642-1727: Newton • Laws of gravitation • 1707-1783: Euler • Restated Newton’s Laws • 1717-1783: D’Alembert • Defined the “Effective” Force ESC020: Rigid Body Mechanics

  6. Mechanics Overview ESC020: Rigid Body Mechanics

  7. Where Does Rigid Body Mechanics Fit BASIC LAWS Newton’s Laws Virtual Work Kinematics Kinetics Quantum Mechanics Classical Dynamics ADVANCED DYNAMICS D’Alembert’s Principle Lagrange’s Equations Hamilton’s Equations Hamilton’s Principle Relativity ESC020: Rigid Body Mechanics

  8. Basic Definitions • Physical System • Collection of basic elements that combine to form a body. • Physical systems tend to be categorized into three broad groupings • Particle • Rigid Body • Deformable Body ESC020: Rigid Body Mechanics

  9. Physical Systems • Particle • A body whose dimensions are negligible • Occupy only a single point in space • Rigid Body • A body occupying more than one point in space • All of the constituent elements of matter are always at a fixed distance apart • Deformable Body • Constituent elements of matter experience changes in their distance apart. ESC020: Rigid Body Mechanics

  10. Free Body Diagrams • The basic, graphical, force accounting tool for the analyst • Drawing FREE BODY DIAGRAMS • A right handed Cartesian Coordinate system must be attached to a point on the structure • All geometric points necessary to a force analysis must be clearly marked • Triplet of ordered numbers referenced to the coordinate system • Dimensions referenced from the origin ESC020: Rigid Body Mechanics

  11. Free Body Diagrams Continued • Unit Vectors MUST be shown in the figure • Isolate the structure or element from it’s surroundings • Sketch all forces that act on the structure or element • Known forces should be labeled with their proper magnitude and direction • Unknown forces magnitude and direction will be assumed ESC020: Rigid Body Mechanics

  12. Newton’s Laws First Law Second Law F = ma Third Law ESC020: Rigid Body Mechanics

  13. Fundamental Concepts ESC020: Rigid Body Mechanics

  14. Conversion of Units ESC020: Rigid Body Mechanics

  15. Prefixes ESC020: Rigid Body Mechanics

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