Topic: Theory of Machines
A body A of weight 10 kg with its C.G. 25 cm from the axis of rotation is to be balanced by another body B of weight 5 kg. The radius at which the C.G. of weight B should be placed is
- A. 2 cm
- B. 12.5 cm
- C. 50 cm
- D. None of these
Answer: C. 50 cm
Explanation: To statically balance a rotating system, the moments of the masses about the axis of rotation must be equal. Therefore, m1 * r1 = m2 * r2. Given body A has a mass m1 = 10 kg at radius r1 = 25 cm, and body B has mass m2 = 5 kg. Substituting these values yields 10 * 25 = 5 * r2. Solving for r2 gives r2 = (10 * 25) / 5 = 50 cm.