Calculate by direct integration the moment of inertia for

Chapter 12, Problem 55P

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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

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 \(d=\frac{L}{2}\)

 

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