Four particles, each of mass 1 kg are placed at four corners of a square of side 2 m . The moment of inertia of the system about an axis perpendicular to its plane and passing through one of its vertex is _ _ _ _ _ _ kg m 2 .

Step-by-step solution

The formula to calculate the moment of inertia of a system of particles about a point can be written as I = ∑ i = 1 n m i r i 2 . . . 1 where, m i is the mass of the i th particle situated at a distance r i from the point. With reference to the above diagram, it can be written that the net moment of inertia of the system of particles is I = m a 2 + m a 2 + m ( 2 a ) 2 = 4 m a 2 = 4 × 1 kg × 2 m 2 = 16 kg m 2