Four spheres are connected to shaft AB. If m_c = 1 kg and m_E = 2 kg, determine the mass of spheres D and F and the angles of the rods, θ_D and θ_F, so that the shaft is dynamically
balanced, that is, so that the bearings at A and B exert only
vertical reactions on the shaft as it rotates. Neglect the mass
of the rods.

X Z A C 0p 0.2 m T 0.1 m D 0.1 m 0.1 m 0.1 m 30 E OF- F 0.1 m 0.1 m T 0.1 m B y