Question

Three particles of masses 1g,2g,3g are at 1cm,2cm,3cm from the axis of rotation respectively then the moment of inertia of the system in g-cm^2 is

Answer 1

Moment of inertia of the system is 36 g-cm^2.

Moment of inertia is defined as, the tendency of particle to stay in motion or in rest, mathematically it's given as

I=mr^2

here, m is mass, and r is distance

Lets, take the moment of inertia of the system from the axis of rotation

I= g[1*1^2+2*2^2+3*3^2]

=36 g-cm^2

Therefore the moment of inertia of the system is 36 g-cm^2.