A shaft carries four masses A, B, C and D with a a magnitude of 200kg, 300kg, 400 kg and 200 kg respectively and revolving at radii 80mm, 70mm, 60mm and 80mm in planes measured from A at 300mm, 400mm and 700mm. The angles between the cranks measured counter clockwise are A to B 450, B to C 700 and C o D 1200. The balancing masses are to be placed in planes X and Y. Distance between planes A and X is 100mm, between X and Y is 400mm and between Y and D is 200mm. If the balancing masses revolve at radius of 100mm find their magnitude and angular position

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.46P
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A shaft carries four masses A, B, C and D with a a magnitude of 200kg, 300kg, 400 kg and 200 kg respectively and revolving at radii 80mm, 70mm, 60mm and 80mm in planes measured from A at 300mm, 400mm and 700mm. The angles between the cranks measured counter clockwise are A to B 450, B to C 700 and C o D 1200. The balancing masses are to be placed in planes X and Y. Distance between planes A and X is 100mm, between X and Y is 400mm and between Y and D is 200mm. If the balancing masses revolve at radius of 100mm find their magnitude and angular position
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