A plank with a small block on top of it is under going vertical $SHM.$ Its period is $2\, sec.$ The minimum amplitude at which the block will separate from plank is :
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Here $g=A \omega^{2}$
$\mathrm{A}=\frac{\mathrm{g}}{\omega^{2}}=\frac{\mathrm{g}}{\left(\frac{2 \pi}{\mathrm{T}}\right)^{2}}=\frac{\mathrm{gT}^{2}}{4 \pi^{2}}$
$A=\frac{10 \times 4}{4 \pi^{2}}=\frac{10}{\pi^{2}} \mathrm{m}$
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