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A rotating disc of 1 m diameter has two eccentric masses of 0.5 kg each at radii of 50 mm and 60 mm at angular positions of 0° and 150°, respectively. A balancing mass of 0.1 kg is to be used to balance the rotor. What is the radial position of the balancing mass?
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- 50 mm
- 120 mm
- 150 mm
- 280 mm
Correct Option: C
Along x-axis, 0.5 (–60 × 10–3 cos 30° + 50 × 10–3) ω² = 0.1ω²
× x × 10–3
∴ x = –9.8076 mm
Along y-axis, 0.5 (60 × 10–3 sin 30°) ω² = 0.1ω² y
∴ y = 150 mm
∴ r = √x² + y² = 150.32 mm
