Determine the moment of force F about line A B as follows. Determine the moment

Question

Determine the moment of force F about line A B as follows. Determine the moment of F about point A. A. and then determine the component of this moment in the direction of line AB Determine the moment of F about point B. B, and then determine the component of this moment in the direction of line AB. Comment on differences and/or agreement between A, B, and the moment about line AB found in Parts (a) and (b). Also comment on the meaning of the sign (positive or negative) found for the moment about line AB.

Explanation / Answer

a) Ma = r x F = (-20/12 j +18/12 k) ft x (10i + 80 j -40 k ) lb= -160/3 i + 15 j + 50/3 k AB = 15/12 i - 20/12 j Ma* AB = -160/3*15/12 + 15*-20/12=-275/3 b) r is now r= -15/12i+18/12k Mb = r x F = -120 i -35 j -100 k Mb*AB= -120*15/12 +20/12*35=-275/3

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