We study the dynamics of an axisymmetric particle suspended in a fluid
. The approach we use is based on the induced forces method. We then o
btain formal expressions for the friction tensors from which one deriv
es explicit formulas for the friction coefficients depending on the sh
ape of the particle, valid in the long-particle limit. Some particular
examples are under scrutiny namely, the case of particles of regular
form and the influence of end effects and the roughness of the particl
es in the dynamics. The first one serves to illustrate our method wher
eas the second to manifest its applicability to open problems in the d
ynamics of objects in suspension.