Comparing Moments: Do These Two Pictures Have the Same Torque?

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SUMMARY

Both pictures in the discussion demonstrate the same torque, confirmed by applying the torque formula \( t = rF \). The key factor is that only the component of force perpendicular to the lever arm length \( L \) contributes to the torque about point A. Since the perpendicular components of force are identical in both scenarios, the moments are indeed the same. This conclusion is supported by the right-hand rule for determining torque direction.

PREREQUISITES
  • Understanding of torque and its calculation using the formula \( t = rF \)
  • Familiarity with the concept of lever arms in physics
  • Knowledge of vector components, specifically perpendicular forces
  • Basic grasp of the right-hand rule for torque direction
NEXT STEPS
  • Study the application of the torque formula \( t = rF \) in various physical scenarios
  • Explore the significance of lever arms and their impact on torque calculations
  • Learn about vector decomposition and how to identify perpendicular components of force
  • Investigate the right-hand rule and its applications in rotational dynamics
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Students studying physics, particularly those focusing on mechanics and rotational motion, as well as educators seeking to clarify concepts of torque and force components.

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Homework Statement



Do both these two pictures have the same moments?

j5z43t.jpg



315236g.gif


Homework Equations



t=rF

The Attempt at a Solution



Yes, if you use the formula, you will notice they have the same moments and direction (using right hand) . Is this correct?
 
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NoobeAtPhysics said:
Yes, if you use the formula, you will notice they have the same moments and direction (using right hand) . Is this correct?
Yep. Only the component of force perpendicular to the length L contributes to the torque about point A. The perpendicular component is the same in both cases.
 
thank you doc AI san
 

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