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Card 12 / 14:
moment
if n masses are arranged on a number line, the moment of the system with respect to the origin is given by M = ∑ i = 1 n m i x i ; if, instead, we consider a region in the plane, bounded above by a function f ( x ) over an interval [ a , b ] , then the moments of the region with respect to the x - and y -axes are given by M x = ρ ∫ a b [ f ( x ) ] 2 2 d x and M y = ρ ∫ a b x f ( x ) d x , respectively
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