Finding the Equilibrium of Roller Forces: How Do We Solve This?

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SUMMARY

The discussion focuses on solving a physics problem involving roller forces at points B and C, which sum to 31 lbs. The user initially struggled but successfully applied the concept of moments to derive the forces at both points. By calculating moments about point C and then point B, the user determined the forces acting at each point, confirming their solution was correct.

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  • Understanding of basic physics concepts, specifically forces and moments.
  • Familiarity with trigonometric functions, particularly sine.
  • Knowledge of equilibrium conditions in static systems.
  • Ability to perform algebraic manipulations to solve equations.
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  • Study the principles of static equilibrium in physics.
  • Learn how to calculate moments in various contexts.
  • Explore trigonometric identities and their applications in physics problems.
  • Practice solving similar problems involving forces and moments in static systems.
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of solving equilibrium problems involving forces.

SteelDirigibl
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Homework Statement


Screenshot2011-02-23at24451AM.png



Homework Equations





The Attempt at a Solution


I'm a little lost how to begin. I know these forces at B and C add up to 31lbs, but I don't know where else to go. I understand the simpler ones like center of gravity on a car and forces on the wheels but this one loses me
 
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Hi SteelDirigibl! :smile:

Hint: moments :wink:
 
I think I just needed to get some sleep and work on it!

So I did moment about C first, where 31*sin(45)5.5=5.2*x

where x is the force at b.

Then we do the same thing but for the moment about b, so 31*(sin(45)5.5+5.2)=5.2x
where x is the force at C.

annnd I got it right :cool:
 

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