Finding the Pivot Point for a Seesaw Equilibrium

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Homework Help Overview

The problem involves determining the position of a pivot point on a seesaw to achieve rotational equilibrium, given the weights of two individuals seated at either end of the seesaw.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the equations set up for balancing moments and question the correctness of specific steps in the calculations. There is confusion regarding the manipulation of terms and the resulting values for the pivot point.

Discussion Status

The discussion includes attempts to verify calculations and clarify misunderstandings about the steps taken. Some participants express surprise at similar results, indicating a productive exchange of ideas, though no consensus on the correct pivot point has been reached.

Contextual Notes

Participants are working under the constraints of the problem as stated, with specific weights and lengths provided, but there is uncertainty about the calculations and interpretations of the equations involved.

physicsgurl12
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Homework Statement



A 442.3 N person and a 286.1 N person sit on either end of a 2.65 m long seesaw. Where along the seesaw should the pivot point be placed to ensure rotational equilibrium?



Homework Equations



F=ma

The Attempt at a Solution



442.3x=286.1(2.65-x)
442.3x+286.1x=286.1(2.65-x)
2.54596295x=2.65-x
x=.104m
 
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physicsgurl12 said:
442.3x=286.1(2.65-x)
442.3x+286.1x=286.1(2.65-x) //What happened here??
2.54596295x=2.65-x
x=.104m

That step should be 442.3x+286.1x=286.1(2.65)
also 2.54596295x=2.65-x will give x = 0.747328733m
 
The correct answer is x = 1.04086354m.
You got a similar answer. That's weird.
 
ashishsinghal said:
The correct answer is x = 1.04086354m.
You got a similar answer. That's weird.

you were right. thanks so much. and yeah that was weird. haha
 

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