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प्रश्न
A thin uniform rod has mass M and length L The moment of inertia about an axis perpendicular to it and passing through the point at a distance `"L"/3` from one of its ends, will be ______.
पर्याय
`"ML"^2/12`
`7/8`ML2
`"ML"^2/9`
`"ML"^2/3`
MCQ
रिकाम्या जागा भरा
उत्तर
`"ML"^2/9`
Explanation:
Consider the figure shown below
A point at a distance `"L"/3` from one end is at a distance of d = `"L"/2 - "L"/3 = "L"/6` from the centre of rod.
The moment of inertia of rod about an axis passing through centre and perpendicular to it is
`l_"c" = "ML"^2/12`
Using parallel axis theorem,
Id = lc + Md2
`= "ML"^2/12 + "M"("L"/6)^2 = "ML"^2/9`
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Moment of Inertia as an Analogous Quantity for Mass
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