Physics - SHM Question with Solution | TestHub

If$x-$displacement of free end of spring, then

at equilibrium

$mg=kx$

or$x=\frac{mg}{k}$

Time period of oscillation,$T=2\pi \sqrt{\frac{m}{k}}$

$\Rightarrow \omega =$Angular frequency

$=\frac{2\pi }{T}=\sqrt{\frac{k}{m}}$

Maximum velocity of oscillating mass

$=V_{\mathrm{m}\mathrm{a}\mathrm{x}}=A\omega$

$=\frac{mg}{k}\times \sqrt{\frac{k}{m}}=g\sqrt{\frac{m}{k}}$