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Which one of the following four graphs best depict the variation with $\mathrm{x}$ of the moment of inertia $\mathrm{I}$ of a uniform triangular lamina about an axis parallel to its base at a distance $x$ from it
Options:
- A
- B
- C
- D
Solution:
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Verified Answer
The correct answer is:
$\mathrm{I}=\mathrm{I}_{\mathrm{COM}}+\mathrm{Mx}^{2}$
First it will decrease because $\mathrm{x}$ is increasing and axis is coming closer to COM axis. After Passing COM axis, M \& I will again increase
$\Rightarrow \mathrm{I}$ is minimum about the axis passing through COM if we compare I about other parallel axis
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