Balancing a shaft using mrL and mr vectors

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SUMMARY

The discussion focuses on the process of balancing a shaft using mrL and mr vectors, specifically addressing the calculation of mass and diameter in relation to trigonometric equations. The calculated mass is 9.318 kg at an angle of 150°, with a diameter of 0.235 m. Participants emphasize the importance of clear algebraic representation and proper variable assignment to avoid confusion. The need for precise communication of mathematical principles and standard equations is highlighted to enhance understanding.

PREREQUISITES
  • Understanding of trigonometric equations
  • Familiarity with mass and volume calculations (p=m/v)
  • Knowledge of area calculations (A = π * d² / 4)
  • Basic principles of mechanical engineering related to shaft balancing
NEXT STEPS
  • Research the application of mrL and mr vectors in mechanical systems
  • Study advanced trigonometric methods for engineering calculations
  • Learn about the principles of dynamic balancing in rotating machinery
  • Explore resources on algebraic problem-solving techniques in engineering
USEFUL FOR

Mechanical engineers, engineering students, and anyone involved in the design and analysis of rotating systems will benefit from this discussion.

ridiculoid
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Homework Statement


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Homework Equations



Trigonometry equations, p=m/v, A = pi * d^2 / 4

The Attempt at a Solution


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i) mass calculated is 9.318kg at 150° from A

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ii) diameter = 0.235m

I apologize for the messy working, I am just wondering if I have followed the correct procedure or not. The end diameter seems quite large, I may be misinterpreting the question though as the flywheel is initially large as well.

Any help would be greatly appreciated.
 

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ridiculoid said:
I apologize for the messy working
Don't apologize, fix it. Likely no-one will make the effort to follow it as is.

Work it through purely algebraically. Assign variable names to the distances etc., not plugging in any numbers. I'll make an exception for the 120 degree angles. Take the trouble to type it in and quote any principles or standard equations you are using. Maybe there is some web link you could post for any unfamiliar with the topic.
 
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