Recent content by lem0ncheezcake

  1. L

    I Graph Theory: (proof)conditions for Euler Circuit in Digraph

    I have read in many places that one necessary condition for the existence of a Euler circuit in a directed graph is as follows. Theorem: "A directed graph has an eulerian circuit if and only if it is connected and each vertex has the same in-degree as out-degree." However, I don't understand...
  2. L

    Coefficient of Static Friction = tan (angle of incline)

    Hi BvU, Yes, you got the idea right, except I set it up so that m could start to move downwards along the slope. I am not sure to be honest. I do know however, mgcosθ and mgsinθ are perpendicular to each other because they represent the vertical and horizontal components of force due to the...
  3. L

    Coefficient of Static Friction = tan (angle of incline)

    Homework Statement I am trying to prove that the coefficient of static friction is equal to the tan of the angle of incline. (You can find the proof of this from ) I set the angle of incline as my independent variable and had an angle range from 10 to 37.5 degrees. After setting the slope to...
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