2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170097In this paper we discuss variational constrained mechanics (vakonomic mechanics) on Lie affgebroids. We obtain the dynamical equations and the aff-Poisson bracket associated with a vakonomic system on a Lie affgebroid ${\mathcal A}$. We devote special attention to the particular case when the nonholonomic constraints are given by an affine subbundle of ${\mathcal A}$ and we discuss the variational character of the theory. Finally, we apply the results obtained to several examples.23 pagesMathematical Physics17B66; 37J60; 70F25; 70G45; 70G75; 70H30text