Solving the Problem of Calculating Force and Torque on a Door

In summary, the conversation discusses a problem involving the application of a force at a certain angle and distance from a hinge on a door. The first part of the problem asks for the force needed to produce a torque of 2.12 N·m, while the second part asks for the maximum torque that can be exerted by the given force. The relevant equation for calculating torque is T=Fd. There is confusion about how to determine the maximum torque when only the force is known, as changing the distance does not have a maximum and it is unclear if the angle should be considered.
  • #1
asura
14
0
Problem:

A force is applied to a door at an angle of 55.4° and 0.33 m from the hinge.
(a) What force produces a torque with a magnitude of 2.12 N·m?
(b) How large is the maximum torque this force can exert?

Relevant Equations:
T=Fd

My Attempt
I could do part a (force is 7.8 N), but I don't understand how to do part b. How do you determine maximum torque when you only have the force?
 
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  • #2
If you know the magnitude of the force, the only things left to change are the angle or the distance from the hinge. If you change the distance, there is no maximum so I'm guessing you'll want to consider which angle produces maximum torque. But that's only a guess. Another badly written question.
 
  • #3
Torque

do you go to Glen A Wilson from hacienda heights?
 
Last edited:

1. How do you calculate the force and torque on a door?

The force and torque on a door can be calculated using the equation F = m x a, where F is the force, m is the mass of the door, and a is the acceleration. To calculate the torque, the equation T = F x d can be used, where T is the torque, F is the force, and d is the distance from the pivot point to the line of action of the force.

2. What factors affect the force and torque on a door?

The force and torque on a door can be affected by several factors, such as the weight and size of the door, the type of hinges or pivot points, and the direction and magnitude of external forces applied to the door.

3. How do you measure the force and torque on a door?

The force and torque on a door can be measured using a force/torque sensor or by using a spring scale and measuring the distance from the pivot point to the point where the force is applied. The measurements can then be plugged into the appropriate equations to calculate the force and torque.

4. Can the force and torque on a door be balanced?

Yes, the force and torque on a door can be balanced by adjusting the position and magnitude of the external forces applied to the door. This is important for ensuring the door remains stable and does not swing open or shut unexpectedly.

5. How is the force and torque on a door used in engineering and design?

The force and torque on a door are important considerations in engineering and design, as they determine the strength and stability of the door. This information is used to select appropriate materials and hardware, as well as to ensure the door functions properly and safely in its intended environment.

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