20.6.15 The decision of the collection (Reshebnik) Kepe
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20.6.15. The kinetic potential of the system L = 1,5x12 + 9x22 + 6x1x2 - 6x12. From the differential equations of motion according to the generalized coordinate x1, x2 determine the acceleration at the time when the generalized coordinate x1 = 0.1 m, and x1 = acceleration of 1 m / s2.
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(DYNAMICS, Chapter 20 - Lagrange equation of the second kind, paragraph - 20.6: Lagrange equation of the second kind for systems with several degrees of freedom) from Reshebnik to the collection of short tasks on the theoretical mechanics Kep OE, JA Viba, OP Grapis, JA Svetinysh et al. Publishing Moscow / Graduate School / 1989, 2009, 2012.
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