3D Moment with force and couple

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SUMMARY

The discussion focuses on calculating the moment created by a force of 1040 N and a couple of 211 N·m acting on a special-purpose milling cutter about point O. The equation used is Mo = R x F + (Couple), where the user attempts to solve for Mo but encounters errors in their calculations. The correct component for the j-axis is confirmed as 302, while the other components require reevaluation for accuracy.

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  • Understanding of vector cross product in mechanics
  • Familiarity with moment calculations in 3D space
  • Knowledge of forces and couples in engineering mechanics
  • Proficiency in trigonometric functions for resolving forces
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  • Review vector cross product calculations in 3D mechanics
  • Study the principles of moments and couples in engineering
  • Practice problems involving force resolution and moment calculation
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Homework Statement


The special-purpoise milling cutter is subjected to the force of 1040 N and a couple of 211 N·m as shown. Determine the moment of this system about point O.
(Let's laugh at the text's typo)

Homework Equations


Mo = R x F + (Couple)

The Attempt at a Solution


I'm having a little difficulty with this... And I'm not sure why... I've done a question with the same question, different numbers and continue to get the right answer.

Anyways...

Mo = (0 - 654.5 * .265)i - (.21 * -808.2)j + (.21 * 654.5)k + <0, 211sin39, -211cos39>

This gave me... <-173i, 302j, -26.5k>

The "302j" is correct, the others are not. Not sure where I went wrong.~~~
Image: http://imgur.com/NB1zpeS
 
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