Mathematically proving "can't push on a rope"

[Rch2233]

I know intuitively that if i hold a roll of rope in front of me and have one end of the rope draped over a pulley above my head, that if I try to push the rope over the pulley by unspooling the rope, it won't work because I can't push on a rope, but what is the math behind it? Is there a speed that the pulley can spin that will draw up the rope?

[Kelly_Bramble]

Google "Newtons laws of Gravity"

[aakashsaxena291]

The Reason behind the phenomena is friction, the Newtons law of gravity said that every object is experiencing the Gravitation Force, push and pull and other forces

[Hudson]

I see this problem similar to Euler's column buckling problem with a low modulus and high slenderness ratio.

[Hudson]

Fluids are pushed all of the time. Ever seen a fire hose?

[Kelly_Bramble]

I suppose that Column Theory or Euler's formula could be used.. Both ends would be treated as pinned?


https://www.engineersedge.com/column...lumn_ideal.htm