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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