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. (a) Using integral calculus, show that the rotational inertia I of the rod about an axis perpendicular to the page and through point PP is (3/5)ML2.
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. (a) Using integral calculus, show that the rotational inertia I of the rod about an axis perpendicular to the page and through point PP is (3/5)ML2.
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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.
(a) Using integral calculus, show that the rotational inertia I of the rod about an axis perpendicular to the page and through point PP is (3/5)ML2.
Transcribed Image Text:P
➜
X = 0
λ = 7x²
-L-
X=L
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