Monday, January 5, 2015

newtonian mechanics - Free vs bound vectors and torque


When considering basic Newtonian mechanics, we can treat vector as free and move their point of application at will. This is consistent with the affine nature of Euclidean space. However, when calculating torque on a body, we must treat forces as bound to their point of application. What is the mathematical reason for this? What does it imply for affine structure of Euclidean space*




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classical mechanics - Moment of a force about a given axis (Torque) - Scalar or vectorial?

I am studying Statics and saw that: The moment of a force about a given axis (or Torque) is defined by the equation: $M_X = (\vec r \times \...