Saturday, November 14, 2015

classical mechanics - Why do we consider potential energy function U(x) differentiable?



Recently when skimming through my physics-text I encountered an interesting definition of Force F(x)=dU(x)dx


We were taught that some functions are continuous but not differentiable. So for the force to exist U(x) has to be differentiable. So how can we prove that U(x) is differentiable everywhere?




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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 \...