Centre of Gravity and Moment of Inertia
10.1 CENTRE OF GRAVITY
A point fixed in the body through which the weight of the body passes in whatever position the body may be placed is called the centre of gravity of that body.
(1) Centre of Gravity of a System of Particles: Consider a system of particles of masses m1, m2,.., mn situated at the points (x1, y1), (x2, y2),…, (xn, yn), respectively. Then the centre of gravity (C.G) of this system is the point (, ), where
Due to relation (1), the centre of gravity is also known as centre of mass ...