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zm3notes - Page 1 Lecture M3 More about Equilibrium...

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Page 1 Lecture M3 More about Equilibrium Equilibrium of a Body A body can be considered to be a system of particles. In the limit, a body is an infinite set of infinitesimal masses (particles). So we can generalize the equations of equilibrium into two equations: - F () n = 0 Equilibrium of forces n () - M + - r () × = 0 Equilibrium of moments Only applies for static equilibrium (otherwise - = ma , - + - () × () = I ˙ t Deals with external forces only Gives two necessary and sufficient conditions for equilibrium (6 scalar equations total) Now consider concepts in two dimensions (2-D) so that we can more easily represent comprehend them, but do not lose track of the 3-D generality of these ideas: Planar Force Systems i.e. all forces act in one plane
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Example: Airplane in straight, level flight - no acceleration. What are the forces required/available to keep it in this state? Courtesy of NTSB.
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zm3notes - Page 1 Lecture M3 More about Equilibrium...

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