Consider a 50-foot chain that weighs 2 pounds per foot hanging from a winch. A 100 lb weight is suspended from the bottom of the chain. Integrate to find the Work required to wind up all 100 feet of the chain.
Integrate to find Mx and My for the lamina of uniform density p bounded by the graphs of the equations. You are not required to integrate to determine the area A. Find the corresponding coordinates of the centroid.
x=0, y=0, y=6-x