How Do You Solve for Force B in Rigid Body Equilibrium?

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SUMMARY

The discussion revolves around solving for Force B in a rigid body equilibrium problem, specifically in the context of a beam subjected to forces. The correct value for Force B is established as 2140 lbs, as per the referenced textbook. Participants highlight the importance of considering the torque due to the horizontal component of Force B and its perpendicular relationship to the point of contact. The width of the beam, measured at 1.2 ft, is identified as a critical factor in determining the vector components of the forces involved.

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  • Understanding of rigid body equilibrium principles
  • Knowledge of vector components in physics
  • Familiarity with torque calculations
  • Basic grasp of beam mechanics
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  • Study the principles of rigid body equilibrium in detail
  • Learn about torque and its calculation in mechanical systems
  • Explore vector decomposition techniques in physics
  • Review beam mechanics and their applications in structural analysis
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Students studying physics or engineering, particularly those focusing on mechanics and structural analysis, as well as educators looking for practical examples of rigid body equilibrium problems.

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Homework Statement

http://img66.imageshack.us/img66/9317/inlinelt8.th.jpg

The Attempt at a Solution


Sorry, By and B should be in lbs, not lbft
http://img141.imageshack.us/img141/9320/pictarsp4.th.jpg

My work just shows how I attempted to find the force B. According to my book, the force B should be 2140 lb.

I'm really not sure if I handled the incline (force B) correctly. I know it's supposed to be perpendicular to the point of contact.

Does anyone see where I went wrong? As far as I can tell, the width of the beam (1.2ft) isn't important for finding any of the vector components.
 
Last edited by a moderator:
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Looks like you neglected the torque due to the horizontal component of force B. (That's where the beam width will come in.)
 

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