5. Calculate the moment of inertia of a thin rod of length L with a linear mass density given by: x4 λ(x) = 20 (1) λο The rod is rotated around its center as shown below. Quote your answer in terms of M, L, and any necessary numerical constants. x = 0 corresponds to the midpoint of the rod. L x

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Chapter10: Fixed-axis Rotation
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Problem 70P: Calculate the moment of inertia by direct integration of a thin rod of mass M and length L about an...
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5. Calculate the moment of inertia of a thin rod of length L with a linear mass density given by:
x4
λ(x) = 20 (1)
λο
The rod is rotated around its center as shown below. Quote your answer in terms of M, L, and any
necessary numerical constants. x = 0 corresponds to the midpoint of the rod.
L
x
Transcribed Image Text:5. Calculate the moment of inertia of a thin rod of length L with a linear mass density given by: x4 λ(x) = 20 (1) λο The rod is rotated around its center as shown below. Quote your answer in terms of M, L, and any necessary numerical constants. x = 0 corresponds to the midpoint of the rod. L x
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