Four masses A$,$ B$,$ C and D are attached to a shaft and revolve in the same plane.The masses are $12$ kg$,10$ kg$,18$ kg$,$ and $15$ kg respectively and their radius of rotations are $40$ mm$,50$ mm$,60$ mm$,$ and $30$ mm$.$ The angular position of the masses B$,$ C and D are $60\backslash$deg $,135\backslash$deg and $270\backslash$deg from the mass A$.$ Find the magnitude and position of the balancing mass at a radius of $100$ mm$.$ Solve using graphical and show force polygon along with scale