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Discussion Response Post to: Moment of Inertia

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Soumen Goswami (2446)

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total posts: 1777
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Consider a horizontal rod like element of thickness dx at a distance x from the base of the triangle
Width of that element = 2(l-x) cot30 = 2

3 (l-x)
Mass of that element = (4M/

3 L² ) 2

3 (l-x) dx

MI of this elemental rod
dI = (1/12)[(4M/

3 L² ) 2

3 (l-x) dx] [2

3 (l-x)]²

I = (8M/

3 L²)₀

^L (l-x)³dx

I = (2/

3)ML²

All men dream but not equally. Those who dream by night in the dusty recesses of their minds wake in the day to find that it was vanity; but the dreamers of the day are dangerous men, for they may act their dream with open eyes to make it possible.

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