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2D Equations of Motion

2D Equations of Motion - Rigid-Body Planar Equations of...

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Rigid-Body Planar Equations of Motion Consider a rigid body as a system of particles: 1) Translational Equations of Motion: From section 13.3: G a m F = These are the translational equations of motion that state the sum of all the external forces acting on the body equals the acceleration of the body’s center-of-mass G. Scalar equations: Gy y Gx x ma F ma F = = 2) Rotational Equations of Motion: Consider the i th particle: where forces external all of resultant F ns) interactio (particle forces internal all of resultant f i i = = Summing the moments of force about point P: i i i i pi a m r f r F r M × = × + × = 0 (when summed over all particles) =
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