Moments using force and distance.

  • Thread starter Thread starter weedannycool
  • Start date Start date
  • Tags Tags
    Force Moments
Click For Summary

Discussion Overview

The discussion revolves around calculating the moment of a force applied at a point, specifically a 4-kN force at point A, about point O. Participants explore various methods for determining the moment, including both scalar and vector representations, as well as identifying points on the axes where the moment is zero. The scope includes homework-related problem-solving and mathematical reasoning.

Discussion Character

  • Homework-related, Mathematical reasoning

Main Points Raised

  • One participant suggests finding the perpendicular distance from the force to the origin to compute the moment, noting that the moment is always perpendicular to the line of action.
  • Another participant proposes breaking the force into its x and y components to calculate the moment about point O by summing the moments from these components, while cautioning about the use of plus/minus signs.
  • A participant expresses difficulty in understanding the problem and asks for a simpler approach.
  • A later reply offers an alternative method using the formula M = rFsin(theta), where r is the position vector's magnitude, F is the force, and theta is the angle between the force and the position vector, while also recommending breaking the force into components for clarity.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single method for calculating the moment, as multiple approaches are discussed, and some express confusion about the problem.

Contextual Notes

Some participants mention the importance of understanding the geometry involved, such as the angle between the force and position vector, which may not be fully defined in the problem statement.

Who May Find This Useful

Students working on mechanics problems involving moments, particularly those seeking different methods for calculating moments of forces in two-dimensional scenarios.

weedannycool
Messages
35
Reaction score
0

Homework Statement



The 4-kN force F is applied at point A. Compute the
moment of F about point 0, expressing it both as a
scalar and as a vector quantity. Determine the coordinates
of the points on the x- and y-axes about which
the moment of F is zero

Homework Equations



m=fd

The Attempt at a Solution



i think that i need to find the distance from F to the origin that is perpendicular. since the moment is always perpendicular to the line of action.
 

Attachments

  • mom.jpg
    mom.jpg
    5.9 KB · Views: 1,896
Physics news on Phys.org
Yes, I think the easiest way is to break F into its x and y components, then solve for the moment about O by algebraically summing the moments produced by these component forces. Moments can be computed this way (force times perpendicular distance), but that is not the only way. Watch plus/minus signs!
 
is there a simpler way to do this. i can't get my head round it. thanks
 
weedannycool said:
is there a simpler way to do this. i can't get my head round it. thanks
You can use M=rFsintheta, where r is the magnitude of the position vector between O and A, F stars as itself, and theta is the included angle in between F and the position vector. I find it easier to break F into its x and y components, and then M_o = F_x(y) + F_y(x)
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
1K
Replies
1
Views
3K
  • · Replies 5 ·
Replies
5
Views
7K