Presume that all masses including the balance mass rotate in the same plane.

Question

Four masses m₁, m₂, m₃ and m₄ are 160 kg, 225 kg, 200 kg and 312 kg, respectively. The corresponding radii of rotation are 0.25 m, 0.2 m, 03 m and 0.25 m, respectively. The angles between the successive masses are 45⁰, 75⁰ and 135⁰. Find the position and magnitude of the balance mass required. If its radius of rotation is -.25 m. Presume that all masses including the balance mass rotate in the same plane.

Answer 1

Given data

The above is the position and magnitude required for balance mass