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  • A cuboidal piece of wood has dimensions a, b and c. Its relative density is d. It is floating in a larger body of water such that side a is vertical. It is pushed down a bit and released. The

A cuboidal piece of wood has dimensions a, b and c. Its relative density is d. It is floating in a larger body of water such that side a is vertical. It is pushed down a bit and released. The time period of SHM executed by it is :

Option: 1

\mathrm{2 \pi \sqrt{\frac{a b c}{g}}}


Option: 2

\mathrm{2 \pi \sqrt{\frac{g}{da}}}


Option: 3

\mathrm{2 \pi \sqrt{\frac{ b c}{dg}}}


Option: 4

\mathrm{2 \pi \sqrt{\frac{da}{g}}}


Answers (1)

best_answer

\mathrm{(a b c)(d \rho) g=(b c) h \rho g}

After displacing slightly x, extra buoyancy force.

\mathrm{ \begin{aligned} & \rho_{\text {net }}=((b c) x) \rho g \\\\ & a=\frac{x b c \rho g}{a b c d \rho}=\frac{x g}{a d} \quad \omega=\sqrt{\frac{g}{a d}} \end{aligned} }

Posted by

Anam Khan

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