Couple moment problems - Calculate the distance?

In summary, the conversation was about calculating the distance in a couple moment problem using the formula M = F x d. The attempt at a solution involved plugging in the values and solving for x, and then using the cosine function to find the distance. The final answer was 0.66m.
  • #1
nchin
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Couple moment problems -- Calculate the distance?

Homework Statement




http://imageshack.com/a/img691/1734/804i.jpg


Homework Equations



M = F x d

The Attempt at a Solution



M = Fxd
20Nm = 35N*x
x = 0.57m

cos 30 deg = x/d
d = x/cos 30 deg = 0.57m/cos 30 deg = 0.66m

is this correct?
 
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  • #2
nchin said:

Homework Statement




http://imageshack.com/a/img691/1734/804i.jpg


Homework Equations



M = F x d

The Attempt at a Solution



M = Fxd
20Nm = 35N*x
x = 0.57m

cos 30 deg = x/d
d = x/cos 30 deg = 0.57m/cos 30 deg = 0.66m

is this correct?
Yes, I think that is correct. (I might have used a different variable besides 'x', so as not to confuse it with the x-axis direction specified in the diagram, but the final answer works out the same).
 
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FAQ: Couple moment problems - Calculate the distance?

1. What is a couple moment problem?

A couple moment problem is a type of mechanics problem that involves calculating the distance between two parallel forces acting on an object. The forces are equal in magnitude, opposite in direction, and have different lines of action, resulting in a moment or rotational force.

2. How do you calculate the distance in a couple moment problem?

To calculate the distance in a couple moment problem, you need to first determine the magnitude of the forces acting on the object. Then, you need to find the perpendicular distance between the two forces, which is the distance at which the moment is applied. This distance can be found by taking the cross product of the force vectors.

3. What units are used to measure distance in a couple moment problem?

The distance in a couple moment problem is typically measured in meters (m) or centimeters (cm). However, any unit of length can be used as long as it is consistent throughout the problem.

4. Can a couple moment problem have more than two forces?

No, a couple moment problem only involves two parallel forces. If there are additional forces acting on the object, they must be resolved into their components and calculated separately.

5. What is the significance of calculating the distance in a couple moment problem?

The distance in a couple moment problem is important because it determines the magnitude of the moment or rotational force applied to the object. This information is crucial in understanding how the object will behave under the applied forces and can help in designing structures or predicting the stability of objects.

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