Force to stabilize a door - torque

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SUMMARY

The discussion focuses on calculating the force required to stabilize a 10kg door when the bottom hinge is removed. Using the torque equation, Torque = F * r * sin(theta), participants analyze the distances involved, specifically the distance from the door handle to the hinge. The final calculation indicates that a force of 50N is necessary to maintain equilibrium, derived from the relationship between the door's dimensions and the gravitational force acting on it.

PREREQUISITES
  • Understanding of torque and its calculation using Torque = F * r * sin(theta)
  • Basic knowledge of equilibrium in physics
  • Familiarity with forces and weight calculations (e.g., F = mg)
  • Ability to interpret physical scenarios involving levers and hinges
NEXT STEPS
  • Study the principles of torque and equilibrium in static systems
  • Learn about the mechanics of levers and their applications
  • Explore the effects of hinge placement on door stability
  • Investigate real-world applications of torque in engineering design
USEFUL FOR

This discussion is beneficial for physics students, engineering students, and anyone interested in mechanics, particularly those studying forces and torque in static systems.

r26h
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Homework Statement


A 10kg door is hanging on two hinges-the top hinge is 9in from the top of the door, and the bottom hinge is 9in from the bottom of the door. The width of the door is 36in and the height is 86in.

If the bolt from the bottom hinge is removed, what force would someone have to exert at the door handle (halfway up the height of the door on the far side from the hinge) to stabilize the door?

Homework Equations


Torque= F r sin theta

The Attempt at a Solution


What does it mean by stabilize?
F(36in)=100N(12)
Force=33N? maybe?

What does the problem mean by stabilize? I'm confused
 
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r26h said:
What does it mean by stabilize?

Place in a state of equilibrium.

F(36in)=100N(12)

Can you explain what you're doing here and where these numbers are coming from?
 
Mister T said:
Place in a state of equilibrium.
Can you explain what you're doing here and where these numbers are coming from?

Instead of 12 I think I should be using 18.

So, take the distance from the edge of the door to the handle (36) * F and set it equal to Mg (100N) * (.5*36)
F(36in)=100N(18in)
So then my answer would be 50N.
 

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