A non-uniform beam extends from x = 0 m to x = 6.1 m.  The linear mass density of the beam, as a function of x, is given by  λ(x) = 462 x5  (kg/m). Calculate the x coordinate of the center of mass of the beam, in m.

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A non-uniform beam extends from x = 0 m to x = 6.1 m.  The linear mass density of the beam, as a function of x, is given by 

λ(x) = 462 x5  (kg/m).

Calculate the x coordinate of the center of mass of the beam, in m.

(Please answer to the fourth decimal place - i.e 14.3225)

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