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Engineering Statics · Vectors, moments, couples, and equivalent force systems

Resolve the 1.5 kN force that acts from P(2 m, −1 m, 2 m) to Q(−1 m, 3 m, 0) into a…

Problem

Resolve the 1.5 kN force that acts from P(2 m, −1 m, 2 m) to Q(−1 m, 3 m, 0) into a component parallel to the line from R(0, 0, 0) to S(1 m, 1 m, 1 m) and a component perpendicular to that line. Report both component vectors and confirm that their vector sum equals the original force.

Hint

Write F along PQ, then project it onto the unit vector of RS.

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