6. A shaft with 3 metres span between two bearings carries two masses of 10 kg and 20 kg acting at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 200 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.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter6: Beams And Cables
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Problem 6.66P: A uniform 80-ft pipe that weighs 960 lb is supported entirely by a cable AB of negligible weight....
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6.
A shaft with 3 metres span between two bearings carries two masses of 10 kg and 20 kg acting at
the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in which these masses
rotate are 1.2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle
between the arms is 60°. The speed of rotation of the shaft is 200 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.
Transcribed Image Text:6. A shaft with 3 metres span between two bearings carries two masses of 10 kg and 20 kg acting at the extremities of the arms 0.45 m and 0.6 m long respectively. The planes in which these masses rotate are 1.2 m and 2.4 m respectively from the left end bearing supporting the shaft. The angle between the arms is 60°. The speed of rotation of the shaft is 200 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.
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