Force of friction and Torque

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SUMMARY

The discussion centers on the relationship between Torque and Angular acceleration, specifically analyzing the slope of the Torque vs. Angular acceleration plot. The slope represents the Rotational inertia (I), while the Y-intercept corresponds to the torque due to friction (τf). The equation Ʃτ=Iα is rearranged to align with the linear equation format y=mx+c, confirming the validity of this interpretation.

PREREQUISITES
  • Understanding of Torque and Angular acceleration concepts
  • Familiarity with Rotational inertia (I) in physics
  • Basic knowledge of linear equations and graph interpretation
  • Concept of frictional torque (τf) in rotational dynamics
NEXT STEPS
  • Study the relationship between Torque and Angular acceleration in more detail
  • Explore the derivation and applications of the equation Ʃτ=Iα
  • Investigate the role of friction in rotational motion and its mathematical representation
  • Learn about graphical analysis of physical equations and their implications
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rotational motion and the effects of friction on torque.

cc2hende
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Given a plot of Torque vs Angular acceleration, would it be valid to say that the slope of that line would be the Rotational inertia and the Y intercept to be equal to the force of friction?

I think there could be an argument for the Y intercept being the force or TORQUE due to friction. what do you think?
 
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What would you use for your argument?

Ʃτ=Iα => τ-τf=Iα

rearrange and compare with y=mx+c
 

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