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Calculate by direct integration the moment of inertia for
Chapter 12, Problem 55P(choose chapter or problem)
Calculate by direct integration the moment of inertia for a thin rod of mass \(M\) and length \(L\) about an axis located distance \(d\) from one end. Confirm that your answer agrees with Table 12.2 when \(d = 0\) and when \(d = L/2\).
Equation Transcription:
Text Transcription:
M
L
d
d = 0
d = L/2
Questions & Answers
QUESTION:
Calculate by direct integration the moment of inertia for a thin rod of mass \(M\) and length \(L\) about an axis located distance \(d\) from one end. Confirm that your answer agrees with Table 12.2 when \(d = 0\) and when \(d = L/2\).
Equation Transcription:
Text Transcription:
M
L
d
d = 0
d = L/2
ANSWER:
Step 1 of 4
To find the moment of inertia of a thin rod of mass \(M\), and length \(L\), about an axis at distance ' \(d\) ' from one end, by direct integration.
And, also, to compare the answer, from Table 12.2, when \(d=0\) and \(d=\frac{L}{2}\)