: A shaft carries four masses in parallel planes A, B, C and D in this order along its length. The masses at B and C are 18 kg and 12.5 kg respectively, and each has an eccentricity of 60 mm. The masses at A and D have an eccentricity of 80 mm. The angle between the masses at B and C is 100° and that between the masses at B and A is 190°, both being measured in the same direction. The axial distance between the planes A and B is 100 mm and that between B and C is 200 mm. If the shaft is in complete dynamic balance, determine: 1. The magnitude of the masses at A and D: 2. the distance between planes A and D; and 3. the angular position of the mass at D.
: A shaft carries four masses in parallel planes A, B, C and D in this order along its length. The masses at B and C are 18 kg and 12.5 kg respectively, and each has an eccentricity of 60 mm. The masses at A and D have an eccentricity of 80 mm. The angle between the masses at B and C is 100° and that between the masses at B and A is 190°, both being measured in the same direction. The axial distance between the planes A and B is 100 mm and that between B and C is 200 mm. If the shaft is in complete dynamic balance, determine: 1. The magnitude of the masses at A and D: 2. the distance between planes A and D; and 3. the angular position of the mass at D.
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 8.73P
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![QI: A shaft carries four masses in parallel planes A, B, C and D in this order along its length. The masses at B and C
are 18 kg and 12.5 kg respectively, and each has an eccentricity of 60 mm. The masses at A and D have an
eccentricity of 80 mm. The angle between the masses at B and C is 100° and that between the masses at B and A
is 190°, both being measured in the same direction. The axial distance between the planes A and B is 100 mm and
that between B and C is 200 mm. If the shaft is in complete dynamic balance, determine: 1. The magnitude of the
masses at A and D; 2. the distance between planes A and D ; and 3. the angular position of the mass at D.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6f0dd8d-9f18-4496-943d-c98936e3c2fb%2Fd8a659d9-db31-466a-9bfa-8d64c028916d%2F8vno104_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QI: A shaft carries four masses in parallel planes A, B, C and D in this order along its length. The masses at B and C
are 18 kg and 12.5 kg respectively, and each has an eccentricity of 60 mm. The masses at A and D have an
eccentricity of 80 mm. The angle between the masses at B and C is 100° and that between the masses at B and A
is 190°, both being measured in the same direction. The axial distance between the planes A and B is 100 mm and
that between B and C is 200 mm. If the shaft is in complete dynamic balance, determine: 1. The magnitude of the
masses at A and D; 2. the distance between planes A and D ; and 3. the angular position of the mass at D.
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