Must d be Perpendicular Distance for Moment of Force?

AI Thread Summary
The discussion centers on whether the distance (d) in the moment of force equation must be the perpendicular distance from the force to the axis of rotation. It is clarified that while the equation for moment of force includes an angle (alpha), which accounts for the direction of the force, the distance does not need to be strictly perpendicular. The equation M = F * d * sin(alpha) implies that d can be any distance, as the sine function adjusts for the angle. Participants emphasize the importance of understanding that the perpendicular component is already factored into the equation. The conversation concludes with an acknowledgment of the clarification regarding the nature of distance in the moment of force calculation.
-Aladdin-
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Moment of force= F*d*sin(alpha).
Now, Must d be the perpedicular distance from the force to the axis , or any distance?
Thanks in advance,
Aladdin
 
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-Aladdin- said:
Moment of force= F*d*sin(alpha).
Now, Must d be the perpedicular distance from the force to the axis , or any distance?
Thanks in advance,
Aladdin

You have given very little information here. For example, what is "alpha"? Is this the angle between F and d?

I think there's quite a bit of confusion here. You may want to look at this and see if you've misunderstood something important.

http://hyperphysics.phy-astr.gsu.edu/hbase/woang.html#waa

Please consider formulating as clear and complete of a question next time.

Zz.
 
No, Moment of force with respect to an axis,
Alpha is the angle betwen the force and d.
 
You mean that it doesn't matter if d is the perpendicular distance, because you included the angle?
 
-Aladdin- said:
You mean that it doesn't matter if d is the perpendicular distance, because you included the angle?

If they both have to be perpendicular, then the angle will always be 90 degrees, and it is a constant equal to one! So then why even bother writing "sin(alpha)"?

Zz.
 
Yeah I know, but that's not my point, my point is if d is any distance or it must me the perpendicular distance? You got me Mr.
 
Did you look at the figure in the link that I showed? I thought that is self-explanatory?

Zz.
 
So , it must be perpendicular.
 
  • #10
Actually, it doesn't need to be perpendicular.

To be slightly more accurate, your equation already takes that into account. The moment is the force multiplied by the perpendicular distance. In your equation, d*sin(alpha) is the perpendicular distance.
 
  • #11
-Aladdin- said:
So , it must be perpendicular.

I'm going to correct this and say no, it doesn't, which is what I said already. But obviously, it is not getting through to you, but I'm going to make sure others reading this do NOT get the same wrong information.

I have no idea why you are fixated with this "perpendicular".

Zz.
 
  • #12
cjl said:
Actually, it doesn't need to be perpendicular.

To be slightly more accurate, your equation already takes that into account. The moment is the force multiplied by the perpendicular distance. In your equation, d*sin(alpha) is the perpendicular distance.

We need to be careful here because that is the perpendicular component of the distance vector. If you read what the OP wrote, he/she is simply not considering that, and somehow, refuses to accept that it can be ANY direction.

Zz.
 
  • #13
-Aladdin- said:
Moment of force= F*d*sin(alpha).
Now, Must d be the perpedicular distance from the force to the axis , or any distance?
Thanks in advance,
Aladdin

isn't the moment of a force about an axis given by

M=\hat{\lambda} \cdot (\vec{r} \times \vec{F})


where \hat{\lambda} the unit vector in the direction of the axis?
 
  • #14
Nope, we didn' took it this way.
M=F*d

Ohhhhh, I got it , thanks ZappperZ, and for all :d.
Sorry for confusion.
 
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