Among near field microscopes, the atomic force microscope (AFM) is a p
owerful and versatile tool for investigating local mechanical properti
es, friction and adhesiveness. Especially, the knowledge of the contri
bution of the friction may become of primary importance to understand
the structure of the objects deposited on a surface. In this paper, we
show that the contribution of the force of friction lying in the tang
ent contact plane between the tip and the object is dependent on the g
eometry of the object scanned. A tip scanning a curved surface is cons
idered and a general expression is derived describing the two contact
modes in AFM: constant force and constant height.