Find the moment caused by all the forces

In summary, two couples are acting on a frame and in order for the resultant couple to be zero, the distance d needs to be found. To find the moment caused by all the forces, a point A is chosen and the f.d formula is used for each couple separately, as the moment of a couple is the same about any point.
  • #1
385sk117
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Homework Statement



two couples are acting on the frame. If the resultant couple is to be zero, find the distance d

Homework Equations





The Attempt at a Solution


First find the point, Let's say A on the picture, and find the moment caused by all the forces
500cos30 x 0.9 acting downward, 500cos30 x (0.9+d) acting upward, moments by 750ns are cancelled, at least that was what i thinking but i don't think this is right method to use..
is moment by couple = f.d ?
so d = 1.8m?
i don't get this...
Please help me TT
 

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  • #2
Hi 385sk117! :smile:
385sk117 said:
two couples are acting on the frame. If the resultant couple is to be zero, find the distance d

First find the point, Let's say A on the picture, and find the moment caused by all the forces

No, you don't need to choose a point …

the moment of a couple is the same about any point.

So just use your f.d formula for each couple separately. :wink:
 
  • #3


Thankyou :)
 

What is the definition of "moment" in the context of forces?

The moment of a force is a measure of its tendency to cause rotation around a specific point or axis. It is calculated by multiplying the magnitude of the force by the perpendicular distance from the point or axis to the line of action of the force.

How do you find the moment caused by a single force?

To find the moment caused by a single force, you need to know the magnitude of the force, the perpendicular distance from the point or axis to the line of action of the force, and the direction of the force. The moment can then be calculated using the formula M = Fd, where M is the moment, F is the force, and d is the perpendicular distance.

What is the difference between a clockwise and counterclockwise moment?

A clockwise moment is a rotational force that causes an object to rotate in a clockwise direction, while a counterclockwise moment causes rotation in the opposite direction. The direction of the moment is determined by the direction of the force and the direction of the rotation it causes.

How do you find the moment caused by multiple forces acting on an object?

To find the moment caused by multiple forces, you need to calculate the moment caused by each individual force and then add them together. This can be done by finding the moment of each force and its distance from a chosen point or axis, and then using the principle of moments to add them together.

What is the significance of finding the moment caused by all the forces on an object?

Finding the moment caused by all the forces acting on an object is important in understanding the overall equilibrium and stability of the object. It can also help in determining how the object will behave under different conditions and how it can be controlled or manipulated.

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