SOLUTION: The bending moment m of a simply supported beam of length L with a uniform load of w kg/m at a distance X from one end is M = 0.5wLx - 0.5wx^2. For what values of x is M = 0?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The bending moment m of a simply supported beam of length L with a uniform load of w kg/m at a distance X from one end is M = 0.5wLx - 0.5wx^2. For what values of x is M = 0?      Log On


   

Question 152686: The bending moment m of a simply supported beam of length L with a uniform load of w kg/m at a distance X from one end is M = 0.5wLx - 0.5wx^2. For what values of x is M = 0?
Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
M=0.5wLx-0.5wx%5E2
Setting M equal to 0, we have
0.5wLx-0.5wx%5E2=0
Factoring, we have
0.5wx%28L-x%29=0
So x = 0 or x = L.