Static friction rotating an object

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SUMMARY

The discussion centers on the mechanics of static friction in a scenario involving a cylinder and a wall. The coefficient of static friction is given as U = 0.6, indicating that the cylinder is on the verge of slipping. Participants clarify that for the cylinder to begin moving, the force P must be calculated to ensure that the static friction at both points A and B is maximized, allowing for the condition Pslip < Proll. The conversation emphasizes the importance of understanding the relationship between static friction and the forces acting on the cylinder.

PREREQUISITES
  • Understanding of static friction and its coefficient (U = 0.6)
  • Knowledge of torque and net force equations in mechanics
  • Familiarity with the concept of rolling without slipping
  • Basic principles of normal force and frictional forces in physics
NEXT STEPS
  • Calculate the force required for a cylinder to begin slipping using static friction principles
  • Explore the conditions for rolling without slipping in rigid body dynamics
  • Study the relationship between normal force and friction in inclined planes
  • Investigate the effects of varying coefficients of friction on motion dynamics
USEFUL FOR

Students and educators in physics, mechanical engineers, and anyone interested in understanding the dynamics of friction and motion in rigid bodies.

Biker
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Homework Statement


Another question with the same idea, These questions bother me a lot. Hopefully you can help me figure why they solve it this way.
https://image.prntscr.com/image/aRnAD33ES2mML5JBwQBQvQ.png

it said in the question that U = 0.6 without saying if it is static or kinetic, However It is static because we are in a static course.
It wants P that makes the cylinder about to slip.

Homework Equations


F net = 0
net Torque = 0

The Attempt at a Solution


Now my explanation for the diagram was, That we could have rolling without slipping ( rotates about B and have maximum static friction at A) but that again makes it 4 unknowns. But he said that he wants the cylinder to be about to slip. So B must have static friction that is maximum and A must have maximum static friction because If for it to move it must overcome that friction. Is this right?
 
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And the problem statement is ... ?
 
Biker said:
Now my explanation for the diagram was, That we could have rolling without slipping ( rotates about B and have maximum static friction at A)

If rolling without slipping is possible, that requires that the disk lift up off the ground. So how can you have any friction at A when it is rolling up the wall?
 
TomHart said:
If rolling without slipping is possible, that requires that the disk lift up off the ground. So how can you have any friction at A when it is rolling up the wall?
I didn't say it started rolling, We are only calculating the required force for it to starts to move. I didn't gain any angular acceleration.

rude man said:
And the problem statement is ... ?
"It wants P that makes the cylinder about to slip." Nothing really more.
 
Biker said:
So B must have static friction that is maximum and A must have maximum static friction because If for it to move it must overcome that friction. Is this right?
Yes, both must have maximum friction in accordance with their normal forces.
 
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TomHart said:
So how can you have any friction at A when it is rolling up the wall?
You can't, and the amount of force P needed to get the wheel rolling up the wall can be easily calculated. One needs that number to make sure that the wheel will slip first before rolling and not roll first before slipping. In other words, establish that Pslip < Proll.

Edit: Disregard this post. See post #9.
 
Last edited:
kuruman said:
One needs that number to make sure that the wheel will slip first before rolling
Is it even possible for the wheel to roll up the wall (well, except for one very unique acceleration)? How can the wall apply a friction force to the wheel once the wheel leaves the floor? Is there a normal force from the wheel to the wall? Or am I confused again? :)
 
kuruman said:
You can't, and the amount of force P needed to get the wheel rolling up the wall can be easily calculated. One needs that number to make sure that the wheel will slip first before rolling and not roll first before slipping. In other words, establish that Pslip < Proll.
Wait so it is supposed to slip before rolling? Isn't it the other way around? It rolls then if we increase the force more it slips?
 
TomHart said:
Is it even possible for the wheel to roll up the wall (well, except for one very unique acceleration)? How can the wall apply a friction force to the wheel once the wheel leaves the floor? Is there a normal force from the wheel to the wall? Or am I confused again? :)
You are not confused. I did not pay enough attention to the equations. There is no normal force exerted by the wall on the wheel which is another of saying that the maximum force of static friction exerted by the wall on the wheel is zero.
 
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  • #10
kuruman said:
There is no normal force exerted by the wall on the wheel which is another of saying that the maximum force of static friction exerted by the wall on the wheel is zero.
Just to clarify one thing for @Biker, there is no normal force exerted by the wall on the wheel if the wheel leaves the ground. If the wheel remains on the ground, the friction force from the ground to the wheel will produce a normal force from the wall to the wheel.
@kuruman, would you please confirm (or correct) my statement above. Thank you.
 
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