Physics - Rotation Question with Solution | TestHub

The angular momentum of a moving particle$\mathrm{J}=4\sqrt{\mathrm{t}}\mathrm{ }\mathrm{kg}\mathrm{ }{\mathrm{m}}^{\mathrm{2 }}{\mathrm{s}}^{-1}$

Torque acting on a moving particle,

$\mathrm{\tau }=\frac{\mathrm{dJ}}{\mathrm{dt}}=\frac{\mathrm{d}}{\mathrm{dt}}\left(4\sqrt{\mathrm{t}}\right)=4\frac{\mathrm{d}\sqrt{\mathrm{t}}}{\mathrm{dt}}=4\left(\frac{1}{2}\mathrm{ }{\mathrm{t}}^{1/2-1}\right)$

$\mathrm{\tau }=\frac{4}{2}{\mathrm{t}}^{-1/2} \mathrm{N} \mathrm{m}=\frac{2}{\sqrt{\mathrm{t}}}\mathrm{ }\mathrm{N} \mathrm{m}$