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Question
The moment of inertia of a sphere is 20 kg-m2 about the diameter. The moment of inertia about any tangent is ____________.
Options
25 kg-m2
50 kg-m2
70 kg-m2
80 kg-m2
MCQ
Fill in the Blanks
Solution
The moment of inertia of a sphere is 20 kg-m2 about the diameter. The moment of inertia about any tangent is 70 kg-m2.
Explanation:
`"M.I. of sphere about the diameter" = 2/5 "MR"^2`
`"i.e.," 2/5 "MR"^2 = 20 or "MR"^2 = 50`
M.I. about the tangent (acc. to theorem of II axis)
`= 2/5 "MR"^2 + "MR"^2`
`= 7/5 "MR"^2`
`= 7/5 xx 50`
`= 70 "kg-m"^2`
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Moment of Inertia as an Analogous Quantity for Mass
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