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A shaft carries four masses A,B,C and D of magnitude 220 kg, 320 kg, 420 kg and 220 kg respectively and revolving at radii 9cm, 7cm, 6 cm and 8cm in planes measured from A at 30cm, 45cm and 60cm. The angles between the cranks measured from A anticlockwise are 45°, 90° and 130°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 20cm, between X and Y is 50cm. If the balancing masses revolve at a radius of 15cm, find their magnitudes and angular positions.

A shaft carries four masses A,B,C and D of magnitude 220 kg, 320 kg, 420 kg and 220 kg respectively and revolving at radii 9cm, 7cm, 6 cm and 8cm in planes measured from A at 30cm, 45cm and 60cm. The angles between the cranks measured from A anticlockwise are 45°, 90° and 130°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 20cm, between X and Y is 50cm. If the balancing masses revolve at a radius of 15cm, find their magnitudes and angular positions.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A shaft carries four masses A,B,C and D of magnitude 220 kg, 320 kg, 420 kg and 220 kg respectively and revolving at radii 9cm, 7cm, 6 cm and 8cm in planes measured from A at 30cm, 45cm and 60cm. The angles between the cranks measured from A anticlockwise are 45°, 90° and 130°. The balancing masses are to be placed in planes X and Y. The distance between the planes A and X is 20cm, between X and Y is 50cm. If the balancing masses revolve at a radius of 15cm, find their magnitudes and angular positions.
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