How Does Torque Depend on the Position of Forces Acting on a Pen?

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SUMMARY

The discussion centers on the relationship between torque and the position of forces acting on a pen, specifically when the center of mass is centrally located. It is established that if the line of action of a force passes through the center of mass, the torque produced is effectively zero. Conversely, forces acting further from the center of mass generate greater torque, as the torque is directly proportional to the distance from the pivot point. The participants confirm that the distance from the pivot, measured perpendicularly, is crucial in determining the magnitude of torque.

PREREQUISITES
  • Understanding of torque and its calculation
  • Familiarity with the concept of center of mass
  • Knowledge of force vectors and their lines of action
  • Basic principles of rotational dynamics
NEXT STEPS
  • Study the mathematical formulation of torque, including τ = r × F
  • Explore the concept of pivot points and their influence on rotational motion
  • Investigate the effects of multiple forces acting on a rigid body
  • Learn about equilibrium conditions in rotational systems
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of torque and rotational dynamics in mechanical systems.

Kurwa
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Homework Statement


Assume you have a pen- where its center of mass is directly in the middle of the pen. There are about 6 forces acting on it from different angles...

how would you rank the most torque


all forces are equal of magnitude.

The Attempt at a Solution



im using this fact- if the line of action passes through the center of mass then there is rarely any torque.. and also if the line furthes from the center of mass has the largest torque compared to the forces that are close to the center of mass but don't cross it.

soo am i right or am i wrong ?
 
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Kurwa said:
im using this fact- if the line of action passes through the center of mass then there is rarely any torque.. and also if the line furthes from the center of mass has the largest torque compared to the forces that are close to the center of mass but don't cross it.

soo am i right or am i wrong ?

First of all if by rarely you mean zero, then that is correct.

The other torques may be judged by their distance away from the pivot through any line that makes a perpendicular with the pivot.

250px-Moment_arm.png
 

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