What is the relationship between torque and pole placement in rotating objects?

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SUMMARY

The relationship between torque and pole placement in rotating objects is defined by the position of the center of rotation, which directly influences the lever arm distance. In static equilibrium, the net torque is zero, meaning that the sum of all torques must equal zero regardless of their individual magnitudes. However, in dynamic scenarios where the object is spinning, varying the pole location results in different torque values. This indicates that the pole's position significantly impacts the torque experienced by the object.

PREREQUISITES
  • Understanding of mechanical torque and its calculation
  • Familiarity with concepts of static and dynamic equilibrium
  • Knowledge of lever arm distance and its role in torque
  • Basic principles of rotational motion
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fog37
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Hello,

In the same frame of reference and using the same coordinate system , the magnitude of mechanical torque depends on the position of the center of rotation (pole): the lever arm distance varies depending on where the pole is.

For static equilibrium situations, the net torque is zero so as long as all the torques add to zero, it does not matter what each torque magnitude is.

But what if the object is not in rotational equilibrium but spins? Different poles will determine different torques. The location of the pole would seem to affect the situation a lot...not sure about this...

thanks!
fog37
 
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A figure would certainly help. I have no idea what you are talking about without one.
 
fog37 said:
what if the object is not in rotational equilibrium but spins? Different poles will determine different torques.

A force will produce a different torque about different points (if it's spinning or not).
 

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