Question 581: Centre of Mass and Rotational Motion

Question

Three solid spheres each of mass '$M$' and radius '$R$' are arranged as shown in the figure. The moment of inertia of the system about YY' will be

Accepted Answer

Moment of inertia of the upper sphere $=\frac{2}{5} \mathrm{MR}^2$
For each lower sphere M.I. $=\frac{2}{5} \mathrm{MR}^2+\mathrm{MR}^2=\frac{7}{5} \mathrm{MR}^2$
$	herefore$ Total moment of inertia $\mathrm{I}=\frac{2}{5} \mathrm{MR}^2+2 	imes \frac{7}{5} \mathrm{MR}^2=\frac{16}{5} \mathrm{MR}^2$

Answer

$\frac{16}{5} \mathrm{MR}^2$

Answer

$\frac{21}{5} \mathrm{MR}^2$

Answer

$\frac{7}{5} \mathrm{MR}^2$

Answer

$\frac{11}{5} \mathrm{MR}^2$

Centre of Mass and Rotational Motion

Three solid spheres each of mass 'M' and radius 'R' are arranged as shown in the figure. The moment of inertia of the system about YY' will be

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