A rigid body under the action of several impulsive forces is considered. A Kelvin theorem provides a simple rule to calculate the total work done by all impulsive forces, but it is not necessarily applicable to the independent work done by each impulse. It is shown that there exist two cases when the partial work can be determined by the same Kelvin formula. Otherwise, the problem has no algebraic solution.
Issue Section:Brief Notes
Topics:Theorems (Mathematics), Algebra, Impulse (Physics)
Kelvin, W. T., and Tait, P. G., 1867, Treatise on Natural Philosophy, Vol. 1, Part 1, Clarendon Press, Oxford, UK.
Routh E. J., 1905, Dynamics of a System of Rigid Bodies, 7th ed., Part 1, McMillan, London.
Energy Dissipated in Planar Collision,”
ASME JOURNAL OF APPLIED MECHANICS, Vol.
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