Final answer:
Increasing the incline angle decreases the perpendicular gravitational force component and thus the normal force, while increasing the parallel gravitational force component.
Step-by-step explanation:
When the angle of an incline is increased, the size of the gravitational force acting on an object on the incline remains constant, but the way this force is divided into components changes. The component of the gravitational force acting perpendicular to the incline (wy) will decrease, while the component acting parallel to the incline (wx) will increase. This occurs because as the incline angle increases, a greater portion of the object's weight is directed along the slope of the incline, causing the parallel component to become larger and the perpendicular component to become smaller.
Since the normal force is equal in magnitude and opposite in direction to the perpendicular component of the weight, as the perpendicular component decreases with an increased incline angle, so does the normal force. This relationship can be derived from the equations of motion for an object on an incline, where the normal force is calculated as N = m*g*cos(θ), and where m represents mass, g represents the acceleration due to gravity, and θ represents the incline angle.