Inclined planes influence the forces acting on an object by altering the balance between weight, normal force, and friction. When an object is at rest on an incline, the forces must sum to zero, indicating that the normal force is equal to the weight component perpendicular to the incline. As the angle of the incline increases, the normal force decreases, which affects the frictional force and can lead to unbalanced forces if the angle becomes steep enough. The discussion highlights the relationship between angle, normal force, and friction, emphasizing that friction only acts when there is an attempt to move. Understanding these dynamics is crucial for solving problems related to inclined planes and forces.