A system of four particles made of 20 g at (4,0), 30 g at (0,6), 25 g at (-4,3) and 40 g at (-3,2) in the xy-plane, rotate about the z-axis through the centre of the coordinate system. The coordinates are given in units of centimetres. Calculate the moment of inertia of the system.
a. 2545gcm2
b. 1850gcm2
c. 3234gcm2
d. 2545gcm2