Show that the relation oMA 5 H . A, where H9 A is defined

Chapter 14, Problem 14.30

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Show that the relation \(\Sigma \mathbf{M}_{A}=\dot{\mathbf{H}}_{A}^{\prime}\), where \(\mathbf{H}_{A}^{\prime}\) is defined by Eq. (1) of Prob. 14.29 and where \(\Sigma \mathbf{M}_{A}\) represents the sum of the moments about A of the external forces acting on the system of particles, is valid if, and only if, one of the following conditions is satisfied: (a) the frame \(A x^{\prime} y^{\prime} z^{\prime}\) is itself a newtonian frame of reference, (b) A coincides with the mass center G, (c) the acceleration \(\mathbf{a}_{A}\) of A relative to Oxyz is directed along the line AG.

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