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Five masses A, B, C, D, and E are attached to a shaft and they all lie on the same plane, i.e. z= 0. A=5kg

Five masses A, B, C, D, and E are attached to a shaft and they all lie on the same plane, i.e. z= 0. A=5kg at 2cm radius and E is at a radius of 2.5cm. The angular spacings of B, C, D, and E relative to A are 30º, 120º, 160º, and 270º respectively. Determine the magnitude of mass E and the effective radius of mass B if the shaft is to be in balance. The masses of B, C, and D are 3kg, 7kg, and 5kg respectively. C is at a 1cm radius and D is at a 3cm radius [6.23kg, 2.92cm].

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