Force pressure variance after hole is plugged?

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SUMMARY

The discussion centers on the force required to plug a hole in a cylinder filled with water and the subsequent force needed to maintain that plug in place. Specifically, it examines whether the force to keep a 10-inch long cylinder plug in a 3-inch diameter hole is greater than, less than, or equal to the force required to initially insert it. The consensus indicates that the force required to maintain the plug is generally less than the force needed to insert it due to the absence of wall friction and the dynamics of fluid pressure.

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tmalcolm
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TL;DR
what is the force delta to plug a leak in a vessel vs the force to maintain the plug after it's in place?
There is a tall cylinder filled with water. And there is a 3 in diameter hole near the bottom and water is gushing out. (assume the cylinder is continually being re-filled from the top)

You work to plug the hole with a 10 inch long cylinder that is exactly the perfect diameter fit to plug the hole. (Assume a perfect fit with no wall friction as it slides into place)

It takes X amount of lbs of force to push the cylinder plug into the gushing hole to stop the leak.

Question -
How much force does it take to keep the plug in the hole once it has been pushed in vs the force required to get the plug in the hole initially?
(meaning, is it "easier" to keep the plug in the hole once it's inserted?) (equal to, less than, more than?)

Does it take more, less or equal force to push the plug deeper into the hole vs the amount of force to keep it one position?Thank you!

Tom
 
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tmalcolm said:
Summary:: what is the force delta to plug a leak in a vessel vs the force to maintain the plug after it's in place?

There is a tall cylinder filled with water. And there is a 3 in diameter hole near the bottom and water is gushing out. (assume the cylinder is continually being re-filled from the top)

You work to plug the hole with a 10 inch long cylinder that is exactly the perfect diameter fit to plug the hole. (Assume a perfect fit with no wall friction as it slides into place)

It takes X amount of lbs of force to push the cylinder plug into the gushing hole to stop the leak.

Question -
How much force does it take to keep the plug in the hole once it has been pushed in vs the force required to get the plug in the hole initially?
(meaning, is it "easier" to keep the plug in the hole once it's inserted?) (equal to, less than, more than?)

Does it take more, less or equal force to push the plug deeper into the hole vs the amount of force to keep it one position?Thank you!

Tom
Is this homework? What do you think the answer is/what have you tried?
 

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