Problem 6 balancing of masses rotating in single plane, analytical and graphical method

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Solve Problem on balancing of multiple masses rotating in a single plane by analytical method and Graphical method.

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 angles between successive masses are 45°, 75° and 135°. Find the position and magnitude of balance mass required, if it's radius of rotation is 0.2 m.

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