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. (e) As the rod rotates from the horizontal position down through vertical, is the magnitude of the angular acceleration on the rod increasing, decreasing, or not changing?

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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.

 

(e) As the rod rotates from the horizontal position down through vertical, is the magnitude of the angular acceleration on the rod increasing, decreasing, or not changing?

P
➜
X = 0
λ = 7x²
-L-
X=L
Transcribed Image Text:P ➜ X = 0 λ = 7x² -L- X=L
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Step 1

Given Data:

Let us consider the given triangular rod of length L and mass M has a nonuniform linear mass density given by the equation λ=γx2, where λ=3ML3and x is the distance from point P at the left end of the rod.

To Find:

As the rod rotates from the horizontal position down through vertical, is the magnitude of the angular acceleration on the rod increasing, decreasing, or not changing?

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