A triangular rod of length L and mass M has a nonuniform linear mass density given by the equation λ=γx2, where γ=3M/(L3) and x is the distance from point P at the left end of the rod. (b) Determine the horizontal location of the center of mass of the rod relative to point P. Express your answer in terms of L.

A triangular rod of length L and mass M has a nonuniform linear mass density given by the equation λ=γx2, where γ=3M/(L3) and x is the distance from point P at the left end of the rod. (b) Determine the horizontal location of the center of mass of the rod relative to point P. Express your answer in terms of L.

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Question

A triangular rod of length L and mass M has a nonuniform linear mass density given by the equation λ=γx², where γ=3M/(L³) and x is the distance from point P at the left end of the rod.

(b) Determine the horizontal location of the center of mass of the rod relative to point P. Express your answer in terms of L.