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A uniform square plate S (side c) and a ...

A uniform square plate `S (side c)` and a unifrom rectangular plate `R(side b,a)` have identical areas and mass [Fig.]
Show that
(i) `I_(xR)//I_(xS) lt 1`, (ii) `I_(yR)//I_(yS) gt 1`, (iii) `I_(zR)//I_(zS) gt 1`.

A

`I_(xR)//I_(xS)lt1`

B

`I_(yR)//I_(yS)gt1`

C

`I_(zR)//I_(xS)gt1`

D

`I_(zR)//I_(zS)=1`

Text Solution

Verified by Experts

The correct Answer is:
A
By given question Area of square =Area of rectangular plate
`rArrc^(2)=axxbimplies c^(2)=ab`
Now by definition
`(I_(xR))/(I_(xS))=(b^(2))/(c^(2)) lt 1rArrI_(xR) lt I_(xS)(b lt c)`
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