A, B, C and D are four masses carried by a rotating shaft, the masses and eccentricity at B and Care (20 kg, 15 kg) and (150 mm, 140mm) respectively. The masses at A and D have an eccentricity of 170 mm. The angle between the masses at B and C is 90° and that between the masses at B and A is 200°, both being measured in the same direction. The planes containing masses A and B are 300 mm apart and that between B and C are 400 mm. If the shaft is in complete dynamic balance, determine : 1. The magnitude of the masses at A and D; 2. The distance between planes A and D; and 3. The angular position of the mass at D

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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A, B, C and D are four masses carried by a rotating shaft, the masses and
eccentricity at B and C are (20 kg, 15 kg) and (150 mm, 140mm) respectively.
The masses at A and D have an eccentricity of 170 mm. The angle between the
masses at B and C is 90° and that between the masses at B and A is 200°, both
being measured in the same direction. The planes containing masses A and B
are 300 mm apart and that between B and C are 400 mm. If the shaft is in
complete dynamic balance, determine :
1. The magnitude of the masses at A and D;
2. The distance between planes A and D ; and
3. The angular position of the mass at D
Transcribed Image Text:A, B, C and D are four masses carried by a rotating shaft, the masses and eccentricity at B and C are (20 kg, 15 kg) and (150 mm, 140mm) respectively. The masses at A and D have an eccentricity of 170 mm. The angle between the masses at B and C is 90° and that between the masses at B and A is 200°, both being measured in the same direction. The planes containing masses A and B are 300 mm apart and that between B and C are 400 mm. If the shaft is in complete dynamic balance, determine : 1. The magnitude of the masses at A and D; 2. The distance between planes A and D ; and 3. The angular position of the mass at D
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