1. The problem statement, all variables and given/known data The first segment starts at -650 and ends at -1100. The second segment starts at 1200 and ends at 0. 2. Relevant equations dM/dx = V 3. The attempt at a solution I attempted to break the problem into two parts. For the first segment: Skipping a few steps: w = 100x dV/dx = -100x V= -50x^2 This is where my first confusion arises. If dV/dx = -w then how can the solutions guide say Sum of the forces in Y = 0 = -650 - 50x^2 - V V= -650 - 50x^2 Now I have two things that V is supposed to equal...?! Moving on: dV/dx = M M = -650x - (50/3)x^3 So the first segment starts at 0 and ends at -2100 which I got from plugging in x=3 into my moment equation. It is a cubic function that has an increasing negative slope as it approaches x=3. For the second segment: V = -300x Sum of the forces in the Y = 0 = -650 +2300 -300x - V V = 1650 - 300x M= 1650x - 150x^2 but now I'm not accounting for the first part of the beam. I'm completely lost at this point.