A long thin rod has its one end at x = 0 and the other end at x =1 m.Its composition is such that the linear mass density changes with length according to $\lambda$(x)= ax² + bx+c,where x is the distance from one end of the rod.Given: a = 0.75 kg/m³,b = 0.5 kg/m²,and c = .25 kg/m,the center of mass of the rod relative to x = 0 is A)0.41 m. B)0.52 m. C)0.60 m. D)0.64 m.

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The Answer of A long thin rod has its one end at x = 0 and the other end at x =1 m.Its composition is such that the linear mass density changes with length according to $\lambda$(x)= ax² + bx+c,where x is the distance from one end of the rod.Given: a = 0.75 kg/m³,b = 0.5 kg/m²,and c = .25 kg/m,the center of mass of the rod relative to x = 0 is A)0.41 m. B)0.52 m. C)0.60 m. D)0.64 m.

A Long Thin Rod Has Its One End at X λ\lambdaλ

A Long Thin Rod Has Its One End at X $\lambda$