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force 2i+7j, 2i-5j+6k^ ,-i+2j-k^ act on a point P whose position vector is 4i-3j-2k. find the vector moment of the resultant of these forces acting at P about athe point O whose vector is 6i+j-3k.

  1. force 2i+7j, 2i-5j+6k^ ,-i+2j-k^ act on a point P whose position vector is 4i-3j-2k. find the vector moment of the resultant of these forces acting at P about athe point O whose vector is 6i+j-3k.

Grade:11

1 Answers

Aziz Alam IIT Roorkee
askIITians Faculty 232 Points
9 years ago
\text{The resultant force of the three forces is:}
\text{(2+2-1)i +(7-5+2)j+(0+6-1)k}
\Rightarrow \text{R=\text{3i+4j+5k}}

Moment of force about O acting on point P.
\overrightarrow{OP}=(4-6)i+(-3-1)j+(-2+3)k
\overrightarrow{OP}=-2i-4j+k

\vec\tau=\vec{OP}*\vec{F}.
\vec\tau=-24i+13j+4k

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