Torsion: Simple Question about a Pulley and an Axle

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SUMMARY

The discussion centers on the relationship between pulley diameter and torsion transmitted to an axle. It concludes that the diameter of the pulley does not affect the torsion transmitted, given that the torque remains constant. The torque formula referenced from Hibbeler's book supports this conclusion, indicating that the distance from the center to a point does not change the overall torsion experienced by the axle. A sketch of the system is recommended for clarity.

PREREQUISITES
  • Understanding of basic mechanics principles, specifically torque and torsion.
  • Familiarity with Hibbeler's mechanics textbooks, particularly the torque formula.
  • Knowledge of pulley systems and their components.
  • Ability to create and interpret mechanical sketches or diagrams.
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  • Review the torque formula in Hibbeler's mechanics textbooks for deeper insights.
  • Research the effects of pulley diameter on mechanical advantage in pulley systems.
  • Explore shear force calculations related to fastening elements in mechanical systems.
  • Study the principles of torsion in mechanical engineering applications.
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Mechanical engineers, physics students, and anyone involved in the design or analysis of pulley systems and torque transmission.

cahewstone
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Hi! if a pulley its transmiting Moment to and Axle, and the other side of the axle its fixed. Does the diameter of the Pulley, conected to the axle, affect the torsion the conections will have? For example, if the axle diameter its 10 cm, will a 50 cm diameter pulley, transmit more, less or the same torsion (and with that, shear force to the tranversal face of the fastening elements?) that a 1 meter diameter pulley, considering that they will be conected to the same torque.

My first answer would be that it doesn't affect, but looking at the torque formula I found in Hibbeler's book, I'm not so sure anymore. (p is distance from the center to a point, and c is the máximus distance)
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Please provide the exact word-for-word statement of the problem you are trying to solve, and also provide a sketch of the actual system involved.
 

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