A uniform square wooden sheet of side $a$ has its centre of mass located at point $O$ as shown in the figure below on the left. A square portion of side $b$ of this sheet is cut out to produce an $L$-shaped sheet as shown in the figure on the right.The centre of mass of the L-shaped sheet lies at the point $P$ (in the above diagram), when
A uniform square wooden sheet of side $a$ has its centre of mass located at point $O$ as shown in the figure below on the left. A square portion of side $b$ of this sheet is cut out to produce an $L$-shaped sheet as shown in the figure on the right.The centre of mass of the L-shaped sheet lies at the point $P$ (in the above diagram), when
- [KVPY 2014]
- A
$a / b=(\sqrt{5}-1) / 2$
- B
$a / b=(\sqrt{5}+1) / 2$
- C
$a / b=(\sqrt{3}-1) / 2$
- D
$a / b=(\sqrt{3}+1) / 2$
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- [KVPY 2015]
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- [AIPMT 2004]