Torque r & F two angles

  • Thread starter Ronnin
  • Start date
  • #1
168
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Unless r and F are perpendicular, there are always two angles between their directions that give the same torque for given magnitudes of r and F. Explain why?

Perhaps I cannot visualize the question, but I cannot see how this can be. As the force moves to the perpendicular position the torque increases. Am I missing something?
 

Answers and Replies

  • #2
2,063
2
Use the definition of torque. If one angle between the p.v and force vector is theta, what about the other?

Edit: I guess this holds only for the magnitude of the torque.
 
Last edited:
  • #3
[tex] \tau = rF \sin \theta [/tex]

[tex]sin \theta = \sin (\pi - \theta)[/tex]​

:smile:
 
  • #4
168
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I guess I figured that would put the angle outside of between the two angles.
 

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