Why does centripetel force not appear on free body daigram

Centripetal force is actually not a type of force that is exerted by an object on another object. Rather, it is a force that causes an object to move in a circular path or along a curved path. It is the sum of all the forces acting on an object that causes it to move in a circular path or along a curved path.

For example, in the case of a car going around a curve, the centripetal force is the sum of the frictional force, the gravitational force, and any other forces that act on the car and cause it to move in a circular path. In a free body diagram, each force acting on the object is represented by an arrow showing the direction and magnitude of the force. Since centripetal force is not a force that acts on an object, it is not represented in a free body diagram.