How do u find the location of an objects center of gravity?
For a general object whose density can be written rho(x), where x is a vector quantity representing position relative to a reference location where x=0, the centre of mass (or gravity) is: x_c=Integral(rho(x)*x*dV)/mass_t, where x_c is the vector position of the center of mass (relative to the reference location), “Integral “represents the integral symbol, x is the vector position relative to the reference location and dV represents a the control volume of the object which is small enough such that rho(x) can be assumed constant throughout it, and mass_t is the total mass of the object.
