The corresponding radii of rotation are 02 m 015 m 025 m

Question

Four masses m₁, m₂ , m₃ and m₄ are 200 kg, 300 kg, 240 kg and 260 kg respectively.

The corresponding radii of rotation are 0.2 m, 0.15 m, 0.25 m and 0.3 m respectively and the angles between successive masses are 450 , 750 and 1350.

Find the position and magnitude of the balance mass required , if its radius of rotation is 0.2 m.