A shaft with 3 metres span between two bearings carries three masses of 10 kg and 20 kg 25 kg acting at the extremities of the arms 45 cm ,50 cm and 30 cm long respectively. The planes in which these masses rotate are 1.2 m, 2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60° and 120° in respected to first mass. The speed of rotation of the shaft is 500 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.3 m from each bearing centres, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e., mass of 10 kg. (40 degree).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Q1)
A shaft with 3 metres span between two bearings carries three masses of 10 kg and
20 kg 25 kg acting at the extremities of the arms 45 cm ,50 cm and 30 cm long
respectively. The planes in which these masses rotate are 1.2 m, 2 m and 2.4 m
respectively from the left end bearing supporting the shaft. The angle between the
arms is 60° and 120° in respected to first mass. The speed of rotation of the shaft is
500 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft
acting at radii of 0.3 m and placed at 0.3 m from each bearing centres, estimate the
magnitude of the two balance masses and their orientation with respect to the X-axis,
i.e., mass of 10 kg. (40 degree).
Transcribed Image Text:Q1) A shaft with 3 metres span between two bearings carries three masses of 10 kg and 20 kg 25 kg acting at the extremities of the arms 45 cm ,50 cm and 30 cm long respectively. The planes in which these masses rotate are 1.2 m, 2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60° and 120° in respected to first mass. The speed of rotation of the shaft is 500 r.p.m. If the masses are balanced by two counter-masses rotating with the shaft acting at radii of 0.3 m and placed at 0.3 m from each bearing centres, estimate the magnitude of the two balance masses and their orientation with respect to the X-axis, i.e., mass of 10 kg. (40 degree).
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