A shaft carries three pulleys, A, B and C, the pulleys B and C being 1.2 m and 2.1 m from A. The pulleys are out of balance to the extent of 0.03, 0.05 and 0.04 kg-m respectively and are keyed to the shaft so as to give static balance. Find the relative angular positions of the radii which define the unbalance. If the shaft is supported in bearing 1.8 m apart, find the dynamic load on each bearing when the shaft makes 300 rev/min.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.91P: What is the ratio L/R for which the uniform wire figure can be balanced in the position shown?
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A shaft carries three pulleys, A, B and C, the pulleys B and C being 1.2 m and 2.1 m from A. The pulleys
are out of balance to the extent of 0.03, 0.05 and 0.04 kg-m respectively and are keyed to the shaft so as
to give static balance. Find the relative angular positions of the radii which define the unbalance. If the
shaft is supported in bearing 1.8 m apart, find the dynamic load on each bearing when the shaft makes
300 rev/min.

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