A rotating shaft carries three unbalanced masses of 4 kg, 3 kg, and 2.4 kg at radial distances of 75 mm, 85 mm and 50 mm and at the angular positions of 45°, 1350 and 240° respectively. The planes of unbalanced masses, as well as planes of the countermasses are shown in the figure. Plane C₁ is to be taken as the reference plane and the various distances are to be considered from this plane. Determine the amounts and locations of the counterweights at planes C₁ and C₂ required for complete balance. 800 H 200 225-375 240° 3 135° 2 45°1 C₂ T- - C₁(RP)

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.75P
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Solve it Analytical way By taking sigma FX , FY and moments
A rotating shaft carries three unbalanced masses of 4 kg, 3 kg, and 2.4 kg at radial distances of 75 mm,
85 mm and 50 mm and at the angular positions of 45°, 1350 and 240° respectively. The planes of
unbalanced masses, as well as planes of the countermasses are shown in the figure. Plane C₁ is to be
taken as the reference plane and the various distances are to be considered from this plane. Determine
the amounts and locations of the counterweights at planes C₁ and C₂ required for complete balance.
F
800
225-375
002
C₂
240°
3
--
135°
2
45°1
- C₁(RP)
Transcribed Image Text:A rotating shaft carries three unbalanced masses of 4 kg, 3 kg, and 2.4 kg at radial distances of 75 mm, 85 mm and 50 mm and at the angular positions of 45°, 1350 and 240° respectively. The planes of unbalanced masses, as well as planes of the countermasses are shown in the figure. Plane C₁ is to be taken as the reference plane and the various distances are to be considered from this plane. Determine the amounts and locations of the counterweights at planes C₁ and C₂ required for complete balance. F 800 225-375 002 C₂ 240° 3 -- 135° 2 45°1 - C₁(RP)
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