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°, 135° 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. H 800 200 225-375 C₂ 240° 3 135° 45°1 2 C₁(RP)

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°, 135° 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. H 800 200 225-375 C₂ 240° 3 135° 45°1 2 C₁(RP)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

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85 mm and 50 mm and at the angular positions of 45°, 1350 and 240° respectively. The planes of
A rotating shaft carries three unbalanced masses of 4 kg, 3 kg, and 2.4 kg at radial distances of 75 mm,
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.
HE
375
002
C₂
240°
3
135°
K45°1
2
C₁(RP)

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Step 1: Determining the given data

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Step 2: Drawing diagrams

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Step 3: Finding required datas

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Step 4: Applying required equations

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Step 5: Finding required counterbalance masses & direction

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Step 6: Finding requied counterbalance mass & direction

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Step 7: Finding direction of counterbalance mass at 1

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