Rank Torque Magnitudes of 6 Forces on Door

Perhaps you should revisit your calculations for tau1 and tau2. In summary, the conversation discusses the application of six forces, each with a magnitude of either F or 2F, to a door. The goal is to rank the six torques, τ1 to τ6, about the hinge from smallest to largest. The attempted solution presents calculations for each torque, but does not take into account the positions of the forces or the location of the hinge.
  • #1
Steelers72
30
0

Homework Statement



Six forces, each of magnitude either F or 2F, are applied to a door as seen from above in the figure.
Rank in order, from smallest to largest, the six torques τ1to τ6 about the hinge.

Homework Equations


torque=RFsintheta

The Attempt at a Solution


τ1 = F*L/2
τ2 = 2F*L/4
τ3 = F/√2*L/2
τ4 = F/√2*L/2
τ5 = 2F*L
τ6 = 0

Thus, 1 and 2 and 3 and 4 are equal

Here is my answer, but apparently it is wrong. Any tips?

torque_zpsn1cj5b6p.png
 
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  • #2
Where's the door and where's the hinge ?
 
  • #3
Steelers72 said:

Homework Statement



Six forces, each of magnitude either F or 2F, are applied to a door as seen from above in the figure.
Rank in order, from smallest to largest, the six torques τ1to τ6 about the hinge.

Homework Equations


torque=RFsintheta

The Attempt at a Solution


τ1 = F*L/2
τ2 = 2F*L/4
τ3 = F/√2*L/2
τ4 = F/√2*L/2
τ5 = 2F*L
τ6 = 0

Thus, 1 and 2 and 3 and 4 are equal

Here is my answer, but apparently it is wrong. Any tips?

You're saying that 2F*L < F*L/2, which seems a bit odd if the magnitudes of both F's and both L's are the same.
 

1. What is torque and why is it important in relation to forces on a door?

Torque is a measure of the turning or twisting force on an object. In the context of a door, torque is important because it determines how easily the door can be opened or closed.

2. How do you calculate torque for forces acting on a door?

To calculate torque, you need to know the magnitude of the force and the distance from the pivot point or axis of rotation. The formula for torque is T = F x d, where T is torque, F is force, and d is distance.

3. What are the 6 forces that can act on a door?

The 6 forces that can act on a door are: weight, friction, tension, compression, shear, and bending. These forces can come from various sources, such as gravity, wind, or human interaction.

4. How do you rank the torque magnitudes of these 6 forces on a door?

The ranking of the torque magnitudes will depend on the specific situation and the magnitude of each force. Generally, the weight of the door and any additional weight on the door (such as from objects hanging on it) will have the greatest torque magnitude, followed by friction, tension, compression, shear, and bending.

5. What are some ways to reduce the torque on a door?

To reduce the torque on a door, you can decrease the magnitude of the forces acting on it, such as by removing objects hanging on the door. You can also decrease the distance from the pivot point to the force, which will decrease the torque according to the formula T = F x d. Additionally, you can add support or reinforcement to the door to distribute the forces more evenly and reduce the overall torque.

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