Four particles of masses `4 kg, 2 kg, 3kg and 5 kg` are respectively located at the four corners `A, B, C, D` of a square of side `1 m`. Calculate the moment of inertia of the system about
(i) the axis passing through point of intersection of the diagonals and perpendicular to the plane of the square. (ii) side `AB` (ii) diagonal `BD`.

Four masses 1, 2, 3 and 4 kg each are placed on four corners A, B, C and D of a square of side sqrt(2) m. The moment of inertia of this system about an axis passing through the point of inter-section of diagonals and perpendicular to the plane of the square will be:

Four point masses of 5 g each are placed at the four corners fo a square of side 10 cm. Find the moment of inertia of the system (i) about an axis coinciding with one of the sides and (ii) about an axis passing through the point of intersection of the diagonals and perpendicular to the plane of the square.

Moment of inertia of a square plate of side l about the axis passing through one of the corner and perpendicular to the plane of square plate is given by :

Four particles of masses 1kg, 2kg, 3kg and 4kg are placed at the four vertices A, B, C and D of a square of side 1m. Find the position of centre of mass of the particles.

Four particles of masses 1kg , 2kg , 3kg and 4kg are placed at the four vertices A,B,C and D of a square of side 1m . Find square of distance of their centre of mass from A.

Particle of masses 2 kg, 2 kg, 1 kg and 1 kg are placed at the corners A, B, C, D of a square of side L as shown in Fig. Find the centre of mass of the system.

Four spheres of diameter a and mass m each are arranged at the corners of a square of side 1. Calculate the moment of inertia of the system about CD taken as its axis.

Four point masses 2 kg, 3 kg, 4 kg and 5 kg are respectively located at the four corners A, B, C and D of a square of side 1 m as shown in the following figure. Calculate the moment of inertia of the system about (i) an aris coinciding with side BC (ii) an axis coinciding with diagonal BD (iii) an axis passing through A and perpendicular to the plane of the square.

The moment of inertia of a square plate of mass 4kg and side 1m about an axis passing through its centre and perpendicular to its plane is