Clockwise or counterclockwise rotation about a fulcrum

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SUMMARY

The discussion focuses on a physics problem involving torque and equilibrium, specifically analyzing a uniform plank of 5m length and 225N weight supported at two points. A person weighing 450N walks on the overhanging section of the plank, which extends 1.1m beyond the right support. The key equations used include torque (T=Fl) and the conditions for equilibrium (ΣT = 0, ΣF = 0). The confusion arises from the sign convention for torque, particularly regarding the clockwise rotation being considered positive, while the torque produced by the left fulcrum (FL) is indicated as negative in the solution.

PREREQUISITES
  • Understanding of torque and its calculation (T=Fl)
  • Knowledge of equilibrium conditions in physics (ΣT = 0, ΣF = 0)
  • Familiarity with forces acting on a beam (weight of the plank and person)
  • Basic concepts of rotational motion and sign conventions
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  • Study the principles of static equilibrium in physics
  • Learn about torque sign conventions and their applications
  • Explore examples of beam balance problems in physics
  • Investigate the effects of varying weights and distances on torque
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Students studying physics, particularly those focusing on mechanics, as well as educators seeking to clarify concepts of torque and equilibrium in practical scenarios.

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Homework Statement


The diagram shows a uniform plank of length 5m and weight 225N that rests horizontally on two supports, with 1.1 m hanging over the right support. To what distance x can a person who weighs 450 N walk on the overhanging part of the plank before it just begins to tip?

l-x-l

\0/
l
/\
_________________
^ ^
l-1.1m-l

Homework Equations


T=Fl
[tex]\Sigma[/tex] T = 0
[tex]\Sigma[/tex] F = 0

The Attempt at a Solution


Take upward direction as positive and clockwise direction of motion as positive
Name the leftmost fulcrum L and the right fulcrum R
Fy = FL + FR - FWplank - FWPerson
Fy = 0
Thus FL + FR - 225N - 450 N = 0
Thus FL = 675N - + FR

This is where I get stuck. My equation kept boiling down to rubbish and when I checked the web for a solution, I found out I need to make the torque produced by Force L a negative number with respect to fulcrum R. However, won't the upward force of L produce a clockwise rotation? The rotation at R caused by force L is the only place that I seem to be messing up as other equations are exactly as the memo indicated. But I have taken clockwise to be positive (as the memo also indicated) and yet the memo says that my torque at L is negative.
 
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Sorry-one correction- FL=675N - FR
 

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