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Question
Three rings, each of mass P and radius Q, are arranged as shown in the figure. The moment of inertia of the arrangement about YY' will be ______.
Options
`7/2"PQ"^2`
`5/2"PQ"^2`
`2/5"PQ"^2`
`2/7"PQ"^2`
MCQ
Fill in the Blanks
Solution
Three rings, each of mass P and radius Q, are arranged as shown in the figure. The moment of inertia of the arrangement about YY' will be `7/2"PQ"^2`.
Explanation:
M.l. of 1 about YY' = `"MR"^2/2 + "MR"^2 = (3"MR"^2)/2`
M.l. of 2 about YY' =`(3"MR"^2)/2`
M.l. of 3 about YY' =` "MR"^2/2`
` therefore "I" = (3"MR"^2)/2 + (3"MR"^2)/2 +"MR"^2/2`
`(7"MR"^2)/2 = (7"PQ"^2)/2`
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Moment of Inertia as an Analogous Quantity for Mass
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