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This document discusses the mechanics of a deformable lattice system under gravity. It first introduces concepts like floppy modes and isostatic lattices. It then analyzes the equilibrium angle and oscillation frequency of a 2x2 lattice under gravity. Next, it generalizes the analysis to an N×N lattice and derives scaling relationships for potential energy, kinetic energy, and applied force with system size N. Finally, it qualitatively argues that applying a force to the vertex with maximum displacement wou

Author

Siddharth Acharya

Language

EN