Equilibrium Problem: Max Mass for Throckmorton on 6.0m Plank

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Homework Help Overview

The problem involves a uniform wooden plank of length 6.0m and mass 90kg, supported by two sawhorses. The scenario explores the maximum mass of a person standing at one end of the plank while maintaining equilibrium.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the center of gravity of the plank and how it is affected by the presence of additional weight at one end. Questions arise regarding the determination of the center of gravity when multiple supports are involved.

Discussion Status

Participants are exploring the implications of uniformity and the center of gravity in the context of the problem. There is an ongoing examination of how the center of gravity shifts with added weight, but no consensus has been reached on the necessity of calculating the new center of gravity for the system.

Contextual Notes

There is a focus on understanding the implications of uniform mass distribution and the role of the sawhorses in maintaining equilibrium. The discussion reflects uncertainty about the need for specific calculations related to the center of gravity in this scenario.

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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?
 
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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.
 
rock.freak667 said:
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)?
 
jghlee said:
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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