Tensor de inercia pdf file

File type icon file name description size revision time user. Quantities that have magnitude and two directions, e. In rowvector notation, the basis vectors themselves are just i ex 1,0,0 j ey 0,1,0 k ez 0,0,1 1. Simply put, a tensor is a mathematical construction that eats a bunch of vectors, and spits out a scalar. The three basic types are called scalar product or inner product, cross product and outer product or tensor product. Start with a rotating rigid body, and compute its angular momentum. The title, the poor mans introduction to tensors, is a reference to gravitation by misner, thorne and wheeler.

An introduction to tensors for students of physics and. How to calculate the moment of inertia section form of i example. The firstorder tensor is symbolized with a boldface letter and by an arrow at the top part of the vector, i. Dan fleisch briefly explains some vector and tensor concepts from a students guide to vectors and tensors. Tensors have their applications to riemannian geometry, mechanics, elasticity, theory of relativity. The symbol ij refers to all of the components of the system simultaneously. Two vectors, u and v can also be combined via an inner product to form a new scalar thus u v example. Nov 20, 2011 dan fleisch briefly explains some vector and tensor concepts from a students guide to vectors and tensors. The stress at a point of an elastic solid is an example of a tensor which depends on two directions one normal to the area and other that of the force on it. The moment of inertia, otherwise known as the mass moment of inertia, angular mass or. The secondorder and higherorder tensors are symbolized with a boldface letter. Pick an origin and assume that the body is made up of n point masses m i at positions described by the vectors r i i 1. The inner product of force and velocity gives the scalar power being delivered into or being taken out of a system.