Can a tug of war ever be won on a frictionless surface?

Here is what I think. If everyone stands exactly vertically and the force on the rope is applied exactly horizontally then it seems to be possible. But this is totally ideal. In reality I don't think its possible.

If there is anything wrong in my understanding please explain it in the comment section.

Note by Abha Vishwakarma
2 weeks, 5 days ago

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Hmm... I think everyone would slip (because there is no friction) and the side with the most weighted people will win because the force of the more weighted team will be more than the less weighted team

Mohmmad Farhan - 2 weeks, 5 days ago

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Yes I agree with you.

Abha Vishwakarma - 2 weeks, 4 days ago

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I also have a question : What if the teams had equal weight with no other factors disrupting their 'evenness', then will the rope be taut and no one falls down or another thing will happen? I believe the rope will be taut and no one will fall down

Mohmmad Farhan - 2 weeks, 4 days ago

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Yes you are correct the rope will always be taut whatever the weight may be on both sides.

Ram Mohith - 2 weeks, 4 days ago

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Lets say there are two teams. As friction is absent you can treat all the players on one side as one block and the players on the other side as one block. Let the total masses be \({\color{blue}m_1} < {\color{green}m_2}\). Then the scenario will be : \[\large {\color{blue}F_1} \leftarrow \quad \quad {\color{green}F_2} \rightarrow\]

\[\large {\color{blue}m_1a} \leftarrow \quad \quad {\color{green}m_2a} \rightarrow\]

\[\large \text{acceleration and displacement} \rightarrow\] As, initially and finally the string is horizontal and taut if one team moves by \(x\) distance the other team will also move by \(x\) distance.

Ram Mohith - 2 weeks, 4 days ago

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Let's analyze what happens if friction is present.

Ram Mohith - 2 weeks, 4 days ago

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I agree with Mohmmad Farhan

Ram Mohith - 2 weeks, 4 days ago

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