About the Analytical Physics constraint writing.

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SUMMARY

The discussion centers on the calculation of constraint values in Analytical Physics, specifically why the formula uses d/2, where d represents the diameter of a disc. The participant clarifies that the radius of the disc is indeed d/2, leading to the conclusion that the length of the unwound string is calculated as (d/2) multiplied by the angle of rotation, φ. This understanding is crucial for accurately applying constraints in physics problems involving rotational motion.

PREREQUISITES
  • Understanding of rotational motion principles
  • Familiarity with basic geometry, specifically circles and diameters
  • Knowledge of trigonometric functions related to angles
  • Experience with Analytical Physics problem-solving techniques
NEXT STEPS
  • Study the relationship between radius and diameter in circular motion
  • Explore the concept of angular displacement and its applications
  • Learn about the derivation of constraints in Analytical Physics problems
  • Investigate the use of string length in rotational dynamics calculations
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Students and educators in physics, particularly those focusing on Analytical Physics and rotational dynamics, will benefit from this discussion.

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About the Analytical Physics constraint writing...

I have added a photo about my problem. My problem is why did we write while calculating constraint values as d/2. you will see on the picture what I am saying, I cannot see the reason of writing d/2
 

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I guess from what I see, that [itex]d[/itex] is the diameter of the disc and [itex]\phi[/itex] is the angle the disc rotated. Then the radius of the disc would be [itex]d/2[/itex]. So the length of the string unwound will be radius times the angle rotated, or [itex]\frac{d}{2} \phi[/itex].
 


thank you for explaining :)
 

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