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`

A uniform square plate `S (side c)` and a unifrom rectangular plate `R

1.	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`
Answer» Correct Answer - 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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