Torque from a frame of reference

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SUMMARY

Torque must be defined from an inertial frame of reference to maintain the validity of the equation ##\vec \tau = I\vec\alpha##. In non-inertial frames, such as an accelerating car, pseudo forces must be considered to accurately describe torque. For instance, when seated in an accelerating vehicle, the torque required to keep the head aligned with the hips demonstrates the necessity of accounting for these pseudo forces. Thus, understanding torque in non-inertial frames involves additional complexities beyond the basic equation.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concept of torque and its mathematical representation
  • Knowledge of inertial vs. non-inertial frames of reference
  • Basic grasp of pseudo forces in physics
NEXT STEPS
  • Study the implications of pseudo forces in non-inertial frames
  • Explore advanced torque calculations in rotating systems
  • Learn about the effects of acceleration on rotational dynamics
  • Investigate real-world applications of torque in non-inertial frames, such as in vehicles
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Physics students, educators, and professionals in engineering fields who require a deeper understanding of torque in various frames of reference.

SDewan
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Whenever we define torque from a frame of reference, is it necessary for the frame to be inertial?
Please explain because I am unclear on this.
 
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Yes. In e.g. an accelerating frame of reference you no longer have ##\vec \tau = I\vec\alpha##.
Example: you sit in an accelerating car and have to lean forward to stay sitting upright. ##\alpha## of your head w.r.t. your hips is zero but you (or the backrest) do have to exercise a torque to stay with your head above your hips.
 
In case of non inertial frame, a pseudo force should be taken and then we can proceed writing the torque. Right?
 
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