Question 415: Centre of Mass and Rotational Motion

Question

Four particles each of mass $$1 \mathrm{~kg}$$ are placed at four corners of a square of side $$2 \mathrm{~m}$$. Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is _____ $$\mathrm{kgm}^2$$.

Accepted Answer

$$\begin{aligned}
& \mathrm{I}=\mathrm{ma}^2+\mathrm{ma}^2+\mathrm{m}(\sqrt{2 \mathrm{a}})^2 \
& =4 \mathrm{ma}^2 \
& =4 	imes 1 	imes(2)^2=16
\end{aligned}$$

Centre of Mass and Rotational Motion

Four particles each of mass $1 \mathrm{~kg} are placed at four corners of a square of side 2 \mathrm{~m}. Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is _____ \mathrm{kgm}^2$.

Integer / Numeric Answer Type