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

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SUMMARY

The discussion centers on calculating the force required to topple a block, specifically analyzing moments about a pivot point. The user, Fionn, correctly applied the moment equation: moments about a = 0.45(35000*g) - 3.2*f = 0, resulting in a calculated force of 4823 N. Despite this being the correct calculation, the provided answer options were incorrect, with Answer C being the closest. The conversation highlights the importance of verifying answer choices against calculations in physics problems.

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  • Familiarity with gravitational force calculations (g = 9.81 m/s²)
  • Knowledge of pivot points and center of gravity concepts
  • Basic algebra for solving equations
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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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