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 n ( ) - M + - r ( ) × F = 0 Equilibrium of moments n n Only applies for static equilibrium (otherwise - F = ma , - M + - r ( ) × F ( ) = 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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Page 2 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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