Moment about a point in an incline plane

AI Thread Summary
The discussion focuses on calculating the moment produced by a force acting on an inclined plane about a specific point. The force, F, is given as 460 N, acting perpendicular to the plane. The user attempts to compute the moment using position vectors and unit vectors but receives feedback that their answer is incorrect. There is confusion regarding the magnitude of the force and its components in the calculations. Clarification on the correct approach to find the moment and the proper use of vector components is sought.
Robb
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Homework Statement



Probs._448_49.jpg


Force F = 460 N acts perpendicular to the inclined plane

Determine the moment produced by F about point A.
Enter the x, y, and z components of the moment separated by commas.

Homework Equations

The Attempt at a Solution



r(CA)=4j-3k
u(CA)=4/5j-3/5k

r(CB)=-3i+4j
u(CB)=-3/5i+4/5j

u(CA) x u(CB)=1.28i+.36j+.48k
F=460(1.28i+.36j+.48k)=589i+166j+221k

r(CA) x F=1382i-1767j-2356k

masteringengineering.com says the answer is wrong. Please help!
 
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Robb said:
F=460(1.28i+.36j+.48k)=589i+166j+221k
Is the magnitude of this force 460 N?
 
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