We introduce a system where an elastic lattice of particles is moved slowly at a constant velocity under the influence of a local external potential, construct a rigid-body model through simplification processes, and show that the two systems produce similar results. Then, we apply our model to a superconducting vortex system and produce path patterns similar to the ones reported in Lee et al. [Phys. Rev. B 84, 060515(R) (2011)], suggesting that the reasoning of the simplification processes in this paper is a possible explanation of the experimentally observed phenomenon.