Force to topple a block. (moments, centre of gravity)

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Discussion Overview

The discussion revolves around a homework problem involving the calculation of the force required to topple a block, focusing on moments and the center of gravity. Participants explore the theoretical aspects of the problem and share their calculations and reasoning.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents their calculation of moments for a block on the ground, leading to a force value that does not match the provided options.
  • Another participant agrees with the initial analysis and suggests that the answer is likely correct, although it does not match the options given.
  • There is a discussion about the validity of the method used, with some participants affirming that the approach is correct despite discrepancies in the answer choices.
  • A later reply introduces an experimental perspective, noting that real-world results may differ from theoretical predictions due to factors like the center of gravity, suggesting that the theory may not encompass all necessary considerations.

Areas of Agreement / Disagreement

Participants generally agree on the correctness of the method used for calculating moments, but there is uncertainty regarding the accuracy of the provided answer options. The discussion remains unresolved regarding the alignment of theoretical predictions with experimental results.

Contextual Notes

There are limitations regarding the assumptions made in the theoretical approach, particularly concerning the center of gravity and its role in the collapse state, which may not be fully addressed in the initial calculations.

Fionn00
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Hi I would greatly appreciate help on this problem.

Homework Statement


Ok so here is the problem


OMJvf.png



Homework Equations





The Attempt at a Solution



I first tried to work out the moments for the block on the ground with no angle to the ground.
moments about a = .45(35000*g) - 3.2 * f = 0
Where f is the force exerted from the elephant but the answer I got is 4823 whic is not one of the options.

I then thought maybe it was the force at the angle of tipping over but the moments sum to zero at this angle when f is zero so this can't be it.

Thanks for any help.
 
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Fionn00 said:
I first tried to work out the moments for the block on the ground with no angle to the ground.
moments about a = .45(35000*g) - 3.2 * f = 0
Where f is the force exerted from the elephant but the answer I got is 4823 whic is not one of the options.

I then thought maybe it was the force at the angle of tipping over but the moments sum to zero at this angle when f is zero so this can't be it.

Thanks for any help.

Hi Fionn, welcome to PF! :smile:

Your analysis is entirely correct!
And your answer is the right answer.
Answer C would be the closest and will be intended to be the right answer.
It seems your list of answers is slightly off. :(

Note that all the other answers are off by a significant amount or have the wrong unit.
 
I like Serena said:
Hi Fionn, welcome to PF! :smile:

Your analysis is entirely correct!
And your answer is the right answer.
Answer C would be the closest and will be intended to be the right answer.
It seems your list of answers is slightly off. :(

Note that all the other answers are off by a significant amount or have the wrong unit.

Thanks for replying.

Are you sure it would be very strange if the list of answers are wrong as it was a previous exam paper.
I agree by the looks of things the answer is c but was my method definitely right ?
 
Fionn00 said:
Thanks for replying.

Are you sure it would be very strange if the list of answers are wrong as it was a previous exam paper.
I agree by the looks of things the answer is c but was my method definitely right ?

Imho you method is definitely right! :smile:

And if you're still doubting, consider the meanings of the other answers.
They are way off!
 
I like Serena said:
Imho you method is definitely right! :smile:

And if you're still doubting, consider the meanings of the other answers.
They are way off!

Ok thanks for your help.
 
As a matter of interest, I did some experiments with this sort of problem, but not using an elephant. The result did not accord with this simple theory, perhaps because the theory doesn't take account of the need to raise the centre of gravity to obtain a collapse state. The moral is not to believe everything you are told.
 

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