The necessary inclined force to rotate an object around an axis

AI Thread Summary
To rotate a door around a pivot using an inclined force, the angle α and the point of force application are crucial. The optimal angle for maximum efficiency is α = π/2, with the force F applied as far from the pivot as possible. The discussion highlights the importance of doorknob placement for ease of use, as they are often positioned away from hinges to facilitate better leverage. Additionally, the height of doorknobs is debated in terms of universal design principles to accommodate various users. Understanding these factors is essential for calculating the necessary force F, angle α, and distance from the pivot.
chane
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Homework Statement
I just want to ask if is it possible to find the force F, the angle "alpha" and the distance between the force F and the pivot just with the door weight. Or I have to make an assumption of the angle or the distance.
Btw the object lenght is 2150mm
Relevant Equations
Fy = F*sin(alpha)
1653314333379.jpg
 
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:welcome:

Can you explain what you are trying to do?
 
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I am trying to rotate the door around the pivot (red dot) using an inclined force
 
chane said:
I am trying to rotate the door around the pivot (red dot) using an inclined force
Then you have to specify ## \alpha ## if you are to find the force ## F ##
 
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... The required force depends on both the angle ##\alpha## and the point at which the force is applied. For physical reasons it's optimum to have ##\alpha = \frac \pi 2## and ##F## applied as far from the pivot as possible. Your equations should lead to the same conclusion.
 
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erobz said:
Then you have to specify ## \alpha ## if you are to find the force ## F ##
So I have to suppose alpha and make my calculation around it
 
PeroK said:
... The required force depends on both the angle ##\alpha## and the point at which the force is applied. For physical reasons it's optimum to have ##\alpha = \frac \pi 2## and ##F## applied as far from the pivot as possible. Your equations should lead to the same conclusion.
Thanks now i get it
 
Last question how do i write "alpha" as a the symbole (i'm new )
 
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  • #11
PeroK said:
For physical reasons it's optimum to have ##\alpha = \frac \pi 2## and ##F## applied as far from the pivot as possible.
That is why people who design doors cleverly put doorknobs and handles as far away from the hinges as possible. Quite often in public places one also sees instructions of use, e.g. "PUSH" or "PULL".
 
  • #12
kuruman said:
That is why people who design doors cleverly put doorknobs and handles as far away from the hinges as possible.
They're not quite so clever when it comes to the height of the doorknobs, which are usually far too low!
 
  • #13
PeroK said:
They're not quite so clever when it comes to the height of the doorknobs, which are usually far too low!
I am not so sure. It's possible that the height of doorknobs has been influenced by universal design principles. They have to be accessible to all, including persons with dwarfism, children and perhaps dogs trained to bring in one's newspaper.
 
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  • #14
kuruman said:
I am not so sure. It's possible that the height of doorknobs has been influenced by universal design principles. They have to be accessible to all, including persons with dwarfism, children and perhaps dogs trained to bring in one's newspaper.

AEEE175B-F76A-4363-BDA3-3BFF857BE618.jpeg
 
  • #15
chane said:
is it possible to find the force F, the angle "alpha" and the distance between the force F and the pivot just with the door weight.
Just checking... your diagram implies this is a trapdoor, not an upright door, yes? So the further from the hinge the force is applied, the smaller the angle will necessarily be. I.e. ##d\sec(\alpha)## is fixed as the string or arm length.
If you want to take friction into account, note that ##F\cos(\alpha)## contributes to the normal load at the pivot.
 
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