Three particles of masses 1 kg, 2 kg and 3 kg are at distance 1 m, 2 m and 3 m from the axis of rotation. The moment of intertia of the system is

Options

A. `24 kg m^(2)`
B. `12 kg m^(2)`
C. `36 kg m^(2)`
D. `48 kg m^(2)`

Answer

C

Explanation

`l = sum mr^(2)=1(1)^(2)+2(2)^(2)+3(3)^(2)`
`= 1+8+27`
`36 kg m^(2)`.