The fluid-solid interaction method proposed in this work is formulated for a laminar flow modeled by the incompressible Navier-Stokes equations in which we consider the presence of a rigid moving solid Si. The model is formulated inside an immersed boundary method based on a penalization technique to account for rigid body. The penalization technique extend the velocity field inside the solid body and use a penalty term to enforce the rigid motion inside the solid. The method is used to study the case of an oscillating airfoil in large flapping motion. A method appropriate for the calculation of forces and angular momentum with penalized equations method is proposed and validated. The effect of geometries on the aerodynamic forces and the angular momentum is investigated, especially the airfoil thickness. For propulsion and power extraction, the results are similar to the one available in literature. As the airfoil thickness increase the maximum values decrease slightly, but the airfoil shape as only a small effects on results.