What causes a bent notebook page to push back against a pen?

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SUMMARY

The discussion centers on the mechanics of a bent notebook page and its interaction with a rolling pen. When the pen encounters the bent page, it experiences resistance due to the page's spring-like properties, which arise from uneven moisture absorption. The side of the page with higher moisture expands, causing the page to curl and create a counteracting force against the pen. If the pen rolls quickly enough, it can overcome this force; otherwise, the page pushes back, demonstrating a unique physical interaction.

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  • Understanding of basic physics principles, particularly forces and motion.
  • Familiarity with material properties, specifically how moisture affects paper.
  • Knowledge of elasticity and spring mechanics.
  • Concept of equilibrium in physical systems.
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  • Research the effects of moisture on paper properties and behavior.
  • Explore the principles of elasticity and how they apply to everyday materials.
  • Study the physics of rolling motion and frictional forces.
  • Investigate the concept of equilibrium in dynamic systems.
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lendav_rott
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I have a A4 sized notebook and every time I work on something, a corner of the page gets bent up - as I roll my pen on it I notice that if I don't roll it fast enough, it won't roll off the notebook, it reaches the top part of the bent part of the page and then comes to a halt and rolls back down.

Normally this would be a ball in a bowl problem, but the bowl's surface is solid and doesn't change. The bent page, however, does.

What is the force that the bent page counteracts the approaching pen with? The page is bent up, but as the pen rolls on it, it starts to bend back down, but if the pen isn't rolling fast enough, the page bends itself back up and pushes the pen back.

How does this work?
 
Last edited:
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It's a spring.
 
The page curls because one side has absorbed more moisture than the other side (or one side has lost more moisture). The side with more expands causing the paper to curl.

The curled page then has a little springiness to it so as the pen rolls on it the paper gives and the pen slows its roll and then it pushes the pen back. If the pen rolls faster then it overcomes the springiness and rolls off and the paper springs back.
 

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