Using a direct-forcing immersed boundary method (IBM) at fully resolved grid resolutions, we study the interaction between the fluid in the lid-driven cavity and ensuing response of a collection of identical cylindrical particles immersed in the cavity. The particles are fixed in lattice location but are free to rotate, and reach steady-state angular velocities under low to moderate Reynolds numbers. The goal is to find the effect of different lattice configurations on the dynamical response of the cylinders – particularly the angular velocities that develop spontaneously and the forces exerted on each of them by the fluid motion. Two lattices, one triangular and one rectangular, are considered. The two configurations exhibit quite different responses. The rectangular lattice contains two kinds of flow paths, an axis-aligned primary path, and a secondary path in the diagonal direction. This gives it a rich response to the fluid forcing as Reynolds number is increased. The triangular lattice only has one kind of flow path and behaves in a more consistent manner. By increasing the cylinder radius, the secondary path in the rectangular lattice can be eliminated. This qualitatively alters its nature and response to the fluid forcing, and could be considered as a phase transition.