Calculating Total Moment of Force F1 about Point A

In summary, the total moment created by force F1 about point A can be found using the equation moment = perpendicular distance x force. To find the moment in this specific scenario, you need to calculate the angle between the line connecting point A and the point where F acts and the line of action of the force. You can do this by dropping a perpendicular from point B to both lines and calculating the lengths of these perpendiculars.
  • #1
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Homework Statement


http://i.imgur.com/Laub8lL.png
Find the total moment created by force F1 about point A.

Homework Equations


moment = perpendicular distance x force


The Attempt at a Solution


I got my resultant distance to be squrt(20). With this in mind, I plugged into my calculator:
sqrt(20) x 12 x (insert values listed below)
(numbers in degrees)
cos(35)
sin(35)
cos(55)
sin(55)

and I've had no luck with any of this.

Please help me
 
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  • #2
The moment is
FL sin(θ)
where θ is the angle between the line connecting point A and the point where F acts on the structure and the line of action of the force
 
  • #3
How do i find theta though?
 
  • #4
See drawing
 

Attachments

  • moment.jpg
    moment.jpg
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  • #5
Call the point where the right-angled bend is B.
Drop a perpendicular from B to the line of the force. What's the length of it?
Drop another from B to a line through A parallel to the force. What's the length of that?
 

1. What is a moment in physics?

A moment in physics is a measure of the tendency of a force to cause rotation about a specific point or axis. It is calculated by multiplying the magnitude of the force by the distance from the point or axis.

2. How do you find the value of a moment?

The value of a moment can be found by multiplying the force applied by the distance from the point or axis of rotation. This can be represented by the equation M = Fd, where M is the moment, F is the force, and d is the distance.

3. What are the units of a moment?

The units of a moment are usually represented in Newton-meters (Nm) in the SI system of measurement. In the Imperial system, the units are pound-feet (lb-ft).

4. How is a moment different from torque?

A moment and torque are often used interchangeably, but they have slight differences in their definitions. A moment is a measure of the tendency of a force to cause rotation about a specific point or axis, while torque is a measure of the rotational force applied to an object. In other words, torque is a type of moment that involves a rotational force.

5. What are some real-life examples of moments?

Moments are present in many everyday situations, such as opening a door, using a wrench to loosen a bolt, or pushing a door open. In these cases, the force applied creates a moment that causes the object to rotate around a specific point or axis.

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