Studying the effects of particle and fluid inertia for prolate spheroids at low Reynolds numbers under the action of a periodic external force field. In future this work can be extended for the oblate spheroids. The possibility of chaos in the dynamics can be examined. The results of this problem may provide insight into the development of fluids whose rheological properties can be controlled with small changes in controllable parameters. Planned to study the effects of particle and fluid inertia for prolate spheroids in a uniform true dependent flow field at low field at low Reynolds numbers under the action of a periodic external force field.