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.
![P
➜
X = 0
λ = 7x²
-L-
X=L](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F057c2f32-86e4-4316-8760-66b4293eec9c%2F3d2ed6ae-1563-4f1e-ba05-10f8416607b2%2Fopfv5dg_processed.png&w=3840&q=75)
Transcribed Image Text:P
➜
X = 0
λ = 7x²
-L-
X=L
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