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Equilibrium Probelm

  • Thread starter jghlee
  • Start date
  • #1
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Homework Statement



A uniform wooden plank of length L = 6.0m and mass M = 90kg rests on top of two sawhorses separated by D = 1.5m, located equal distances from the center of the plank. Your cousin Throckmorton tries to stand on the right-hand end of the plank. If the plank is to remain at rest, how massive can Throckmorton be?

The Attempt at a Solution


How do I know the Xcg value for this problem since there are two sawhorses supporting this plank?
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
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Uniform means that the centre of gravity is at the geometrical centre of the plank. In this case, half of it's length.
 
  • #3
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Uniform means that the centre of gravity is at the geometrical centre of the plank. In this case, half of it's length.
So even if there's a weight at the end of the plank, the center of gravity will still be at (L/2)?
 
  • #4
PhanthomJay
Science Advisor
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Gold Member
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So even if there's a weight at the end of the plank, the center of gravity will still be at (L/2)?
the cg of the plank is at L/2. The cg of the system (plank and cousin) changes, but you don't need to find it.
 

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