Find the moment about the and axis

In summary, the task is to find the moment about the axis AC using the given vectors and equations. The computed unit vector Uac is <0.8, 0.6, 0>, and the cross product of Rab and F is <6, 10, 27>. The resulting moment is -1.2 and when multiplied by Uac, the moment becomes <-0.96, -0.72, 0>.
  • #1
Colts
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1. Homework Statement
http://session.masteringengineering...bs._454_55.jpg
Find the moment about the axis AC. F=<7,12,-6>


2. Homework Equations
MomentAC = Uac dotted with (Rab X F)
Uac is the unit vector from a to c


3. The Attempt at a Solution
Uac=<.8,.6,0>
Rab=<4,3,-2>
F=<7,12,-6>
Rab X F =<6,-10,0>
MomentAC=4.8-6
=-1.2
MomentAC*Uac=<-.96,-.72,0>
 
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  • #2
The link to the picture is garbage.
 
  • #4
How did you compute Rab x F? I get a different result.
 
  • #5
(-6(3)-(-2)12)-(-6(4)-7(-2))+(7(12)-7(3))
(-18+24)-(-24+14)+(48-21)
6,10,27
 
  • #6
This is different fro what you had before, and this is what I get as well. You just need to do the scalar product now.
 

Related to Find the moment about the and axis

What is the definition of moment about the x and y axis?

The moment about the x and y axis is the measure of the tendency of a force to rotate an object around that axis. It is calculated by multiplying the magnitude of the force by the perpendicular distance from the axis to the line of action of the force.

How is the moment about the x and y axis calculated?

The moment about the x and y axis is calculated by multiplying the magnitude of the force by the perpendicular distance from the axis to the line of action of the force. This is known as the cross product of the force and the distance vector.

What is the difference between moment about the x and y axis?

The difference between moment about the x and y axis lies in the axis of rotation. Moment about the x axis is calculated when the object is rotating around the x axis, while moment about the y axis is calculated when the object is rotating around the y axis.

How do you find the moment about the x and y axis in a 3-dimensional space?

To find the moment about the x and y axis in a 3-dimensional space, you can use the right-hand rule. First, determine the direction of the force and the axis of rotation. Then, using your right hand, point your thumb in the direction of the force and your fingers in the direction of the axis of rotation. The moment is then calculated by the magnitude of the force multiplied by the perpendicular distance between the force and the axis of rotation.

What is the significance of moment about the x and y axis in engineering and physics?

Moment about the x and y axis is an important concept in engineering and physics as it helps determine the stability and equilibrium of an object. It is also used in designing structures and machines to ensure they are able to withstand external forces and maintain their balance. In physics, moment is used to study rotational motion and analyze the behavior of objects under the influence of torque.

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