ABSTRACT

This chapter is concerned with a study of the relationships between the forces that act on any rigid body and the corresponding translational and rotational motions of the body. For the planar motion of a rigid body, an additional equation of motion is needed in order to determine the rotational motion of the body. The chapter provides examples for bodies subjected to translational motion only and for bodies subjected to rotational motion about a fixed point. It presents examples of the general case, where the body is both translating and rotating. A technique has been introduced whereby two diagrams, one for the external forces and one for the inertia forces, are drawn and then the corresponding force components equated. This technique can be used in deriving equations of motion for general planar motion of a rigid body as follows.