10. A rough casting for a rotor weighs 450 lb. and is mounted on centres 46 in. apart, ready for machining; it is given static balance by two masses A and B in planes which are situated 20 in. and 16 in. respectively on either side of the plane containing the mass centre. The weights of the masses A and Bare 20 lb. and 24 lb. respectively, and their mass centres are at 90° to each other relative to the axis of the casting, and at 15 in. and 18 in. radius respectively. Determine the eccentricity of the mass centre of the casting, its position relative to that of mass A, and the forces on the centres when the rotor with attached masses A andB is run at 50 r.p.m. (U. Lond.)

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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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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10. A rough casting for a rotor weighs 450 lb. and is mounted on centres
46 in. apart, ready for machining; it is given static balance by two masses A
and B in planes which are situated 20 in. and 16 in. respectively on either side
of the plane containing the mass centre. The weights of the masses A and Bare
20 lb. and 24 lb. respectively, and their mass centres are at 90° to each other
relative to the axis of the casting, and at 15 in. and 18 in. radius respectively.
Determine the eccentricity of the mass centre of the casting, its position relative
to that of mass A, and the forces on the centres when the rotor with attached
masses A andB is run at 50 r.p.m. (U. Lond.)
Transcribed Image Text:10. A rough casting for a rotor weighs 450 lb. and is mounted on centres 46 in. apart, ready for machining; it is given static balance by two masses A and B in planes which are situated 20 in. and 16 in. respectively on either side of the plane containing the mass centre. The weights of the masses A and Bare 20 lb. and 24 lb. respectively, and their mass centres are at 90° to each other relative to the axis of the casting, and at 15 in. and 18 in. radius respectively. Determine the eccentricity of the mass centre of the casting, its position relative to that of mass A, and the forces on the centres when the rotor with attached masses A andB is run at 50 r.p.m. (U. Lond.)
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