The equations that describe the dynamics of a point particle in space must be adapted when the motion is observed from an accelerated frame of reference. I give an illustration of this by considering the motion of a free particle relative to a frame rotating at a constant angular velocity around the origin of coordinates.
Posts tagged with math
math
Euclid's axioms describe the geometry of shapes and curves in simple mathematical spaces which are called *flat*. When one considers more complex spaces, these axioms are no longer adequate. I illustrate this by looking at the special case where the mathematical space is a *two-sheet hyperboloid*.
I talk about the mathematics describing what happens when a massive objects is accelerated at a steady rate and how it behaves when its velocity approaches that of light using the principles of special relativity.