Determine the momentproduced by force F about segment AB of the pipe assembly. E

Question

Determine the momentproduced by force F about segment AB of the pipe assembly.
Express the result as a cartesian vector. image can be found at the site below and is number 56 http://books.google.com/books?id=5hqK31A2EkcC&pg=PA145&dq=Determine+the+moment+produced+by+force+F+about+segment+AB+of+the+pipe+assembly.+Express+the+result+as+a+cartesian+vector.#v=onepage&q=Determine%20the%20moment%20produced%20by%20force%20F%20about%20segment%20AB%20of%20the%20pipe%20assembly.%20Express%20the%20result%20as%20a%20cartesian%20vector.&f=false Determine the momentproduced by force F about segment AB of the pipe assembly.
Express the result as a cartesian vector. image can be found at the site below and is number 56 http://books.google.com/books?id=5hqK31A2EkcC&pg=PA145&dq=Determine+the+moment+produced+by+force+F+about+segment+AB+of+the+pipe+assembly.+Express+the+result+as+a+cartesian+vector.#v=onepage&q=Determine%20the%20moment%20produced%20by%20force%20F%20about%20segment%20AB%20of%20the%20pipe%20assembly.%20Express%20the%20result%20as%20a%20cartesian%20vector.&f=false

Explanation / Answer

force F = (4i+12j-3k) lb and distance r = ( 3i+4j-2k) ft [from diagram] moment M = r x F moment M = (3i+4j-2k) x ( 4i+12j-3k) moment M = 36k+9j-16k-12i-8j+24i moment M = (12i + 1j +20k) lb.ft

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