Finding the Pivot Point for a Seesaw Equilibrium

In summary, the two individuals with weights of 442.3 N and 286.1 N sit on a seesaw that is 2.65 m long. To achieve rotational equilibrium, the pivot point should be placed at a distance of 1.04086354 m from the 442.3 N person and 1.60913646 m from the 286.1 N person. There was a small discrepancy in the calculations, but the correct answer was ultimately reached.
  • #1
physicsgurl12
184
0

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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  • #2
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
 
  • #3
The correct answer is x = 1.04086354m.
You got a similar answer. That's weird.
 
  • #4
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
 
  • #5
or 10.4 cm


I would like to commend the approach taken to solve this problem using the equation F=ma. This equation is a fundamental principle in physics and can be applied to rotational equilibrium in this scenario. The attempt at a solution is also correct, resulting in a pivot point of 10.4 cm. However, I would suggest double-checking the calculations to ensure accuracy. Additionally, it would be helpful to include a diagram or illustration to better visualize the problem and solution. Overall, this is a well-thought-out solution to finding the pivot point for a seesaw equilibrium.
 

1. How is the pivot point determined for a seesaw equilibrium?

The pivot point for a seesaw equilibrium is determined by finding the center of mass of the seesaw. This can be done by balancing the seesaw on a point or by using a balance scale to measure the weight distribution on either side of the pivot.

2. What factors affect the pivot point of a seesaw?

The pivot point of a seesaw is affected by the weight and distribution of the objects placed on either side of the pivot. The distance between the objects and the pivot also plays a role, as well as the length and weight of the seesaw itself.

3. How does the distance between the objects and the pivot impact the pivot point?

The distance between the objects and the pivot has a direct impact on the pivot point. The closer an object is to the pivot, the less leverage it has and the lower its weight will affect the pivot point. The farther an object is from the pivot, the more leverage it has and the more it will affect the pivot point.

4. Can the pivot point of a seesaw be changed?

Yes, the pivot point of a seesaw can be changed by adjusting the weight and/or distance of the objects on either side of the pivot. This can be done by adding or removing weight or by moving the position of the objects on the seesaw.

5. How does the pivot point affect the stability of a seesaw?

The pivot point is crucial for the stability of a seesaw. If the pivot point is not at the center of mass, the seesaw will be imbalanced and may tip over. Finding the correct pivot point is essential for a safe and stable seesaw experience.

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