A, B, C and D are four masses carried by a rotating shaft at radii 100mm, 150mm, 150mm and 200mm respectively. The planes in which the masses rotate are spaced at 500mm apart and the magnitude of the masses B, C and D are 9kg, 5kg and 4kg respectively. Find the required mass A and the relative angular settings of the four masses so that the shaft shall be in complete balance.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter10: Virtual Work And Potential Energy
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A, B, C and D are four masses carried by a rotating shaft at radii 100mm, 150mm, 150mm and 200mm
respectively. The planes in which the masses rotate are spaced at 500mm apart and the magnitude of
the masses B, C and D are 9kg, 5kg and 4kg respectively. Find the required mass A and the relative
angular settings of the four masses so that the shaft shall be in complete balance.

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