Masses of \(1 \mathrm{~kg}, 3 \mathrm{~kg}\), and \(2 \mathrm{~kg}\) are located at radii \(50 \mathrm{~mm}, 75 \mathrm{~mm}\), and \(25 \mathrm{~mm}\) in the planes \(C, D\), and \(E\), respectively, on a shaft supported at the bearings \(B\) and \(F\), as shown in Fig. 9.45. Find the masses and angular locations of the two balancing masses to be placed in the end planes \(A\) and \(G\) so that the dynamic load on the bearings will be zero.

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B I 40 75 mm 1400 mm 1200 mm 800 mm 600 mm 1400 mm 1200 mm 3 kg FIGURE 9.45 Shaft with unbalanced masses. 1 kg 50 mm 25 mm 2 kg 30 E