Explanation

A body is in translational equilibrium when the vector sum of all forces acting on it is zero, meaning ∑F = 0.

This implies the sum of forces in both the x and y directions are also zero, i.e., ∑Fx = 0 and ∑Fy = 0.

The statement ∑τ = 0 is related to rotational equilibrium, not translational equilibrium.

The condition ∑β = 0 is not standard terminology in physics.