A right triangular plate scaled by a factor two generates a bigger plate composed of four triangular plates the same size as the original. By using dimensional analysis we write the moment of inertia ...

The area moment of inertia (also called the second moment of area) defines the resistance of a cross-section to bending, due to the shape of the cross-section. It is a key parameter for the analysis ...

Abstract: Multi-axis motion control systems have gained widespread adoption. However, the implementations of multi-axis servo control using distributed controllers are hindered by the data exchange ...

In the fall of 1915, the foundations of physics began to crack. Einstein’s new theory of gravity seemed to imply that it should be possible to create and destroy energy, a result that threatened to ...

Emmy Noether showed that fundamental physical laws are just a consequence of simple symmetries. A century later, her insights continue to shape physics. In the fall of 1915, the foundations of physics ...

The moment of inertia, often denoted by the symbol “I” or sometimes “J,” is a measure of an object’s resistance to angular acceleration about a particular axis. It plays a crucial role in fields like ...