Title: Dynamics of Rigid Bodies: Vectorial Approach
Abstract: This chapter extends the vectorial approach based on Newton's second law of dynamics to rigid bodies. It introduces the concepts of the center of mass, mass moment of inertia, and principal axis of rotation. The chapter derives the equations that can be used to study planar rigid-body dynamics. For the rotational motion, the planar motion assumption introduces a simplification to the equations of motion. The chapter shows the free-body diagram to describe the forces acting on the body. It illustrates that by knowing the moment of inertia matrix about a set of axes whose origin is located at a point, say O, then one can infer the moment of inertia about another parallel coordinate system passing through another point, say Q. Free non-planar rigid-body motion has six degrees of freedom that are described by six independent equations.
Publication Year: 2018
Publication Date: 2018-07-24
Language: en
Type: other
Indexed In: ['crossref']
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