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Question: A uniform rectangular plate *R* of sides *a* and *b* and a uniform square plate S of side *c* have s...

A uniform rectangular plate R of sides a and b and a uniform square plate S of side c have same masses and areas as shown in the figure. Then,

(i) (ii) IyRIys>1\frac { I _ { y R } } { I _ { y s } } > 1

Which of the above relations is correct?

A

(i) only

B

(ii) only

C

Both (i) and (ii)

D

Neither (i) nor (ii)

Answer

Both (i) and (ii)

Explanation

Solution

As

Area of rectangular plate R = Area of square plate S

\therefore a=b=c2\mathrm { a } = \mathrm { b } = \mathrm { c } ^ { 2 }

(i)

As b < c IxRIvS<1\therefore \frac { \mathrm { I } _ { \mathrm { xR } } } { \mathrm { I } _ { \mathrm { vS } } } < 1

(ii)

As a > c IyRIys>1\therefore \frac { \mathrm { I } _ { \mathrm { yR } } } { \mathrm { I } _ { \mathrm { ys } } } > 1