Answer to Question #270775 in Physics for Nigs

Question

Moment of Inertia

Analyze and solve the given problem.

A system consists ( thin-hollowed sphere) of three email masses rotating at the same speed about the same fixed axis The masses and their radii of ratation are: 16 g at 256mm, 23 g at 192 mm and 31 g at 176 mm. Determine (a) the moment of inertia of the system about the given axis.

Answer 1

The moment of inertia of the system:

$$I=I_1+I_2+I_3,\\\space\\ I=\frac23m_1r_1^2+\frac23m_2r_2^2+\frac23m_3r_3^2=1.9·10^{-3}\text{ kg}·\text m^2.$$