Rank Torque Magnitudes of 6 Forces on Door

  • Thread starter Thread starter Steelers72
  • Start date Start date
  • Tags Tags
    Magnitudes Torque
Click For Summary
SUMMARY

The discussion focuses on ranking the torque magnitudes of six forces applied to a door, with forces of either F or 2F. The calculated torques are τ1 = F*L/2, τ2 = 2F*L/4, τ3 = F/√2*L/2, τ4 = F/√2*L/2, τ5 = 2F*L, and τ6 = 0. The correct ranking from smallest to largest is τ6, τ3 = τ4, τ2, τ1, τ5. The confusion arises from misinterpreting the relationship between the force magnitudes and their respective distances from the hinge.

PREREQUISITES
  • Understanding of torque calculation using the formula τ = RFsin(θ)
  • Basic knowledge of forces and their magnitudes
  • Familiarity with the concept of lever arms in physics
  • Ability to interpret diagrams related to force applications
NEXT STEPS
  • Review the principles of torque and rotational dynamics
  • Study examples of torque calculations with varying force magnitudes
  • Learn about the effects of angle on torque using the sine function
  • Explore practical applications of torque in mechanical systems
USEFUL FOR

Students in physics, particularly those studying mechanics, as well as educators looking for examples of torque calculations and their applications in real-world scenarios.

Steelers72
Messages
30
Reaction score
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
 
Physics news on Phys.org
Where's the door and where's the hinge ?
 
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.
 

Similar threads

  • · Replies 11 ·
Replies
11
Views
2K
Replies
3
Views
1K
Replies
17
Views
3K
  • · Replies 3 ·
Replies
3
Views
13K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 30 ·
2
Replies
30
Views
9K
  • · Replies 14 ·
Replies
14
Views
4K
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K