Statics and Dynamics Quiz
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A rigid body in 2D is subjected to three forces: F1=(3i^−4j^) kN\mathbf{F}_1 = (3\hat{i} - 4\hat{j})\text{ kN} applied at point (2,0) m(2, 0)\text{ m}; F2=(−3i^+2j^) kN\mathbf{F}_2 = (-3\hat{i} + 2\hat{j})\text{ kN} applied at point (0,3) m(0, 3)\text{ m}; and an unknown force F3\mathbf{F}_3 applied at point (1,1) m(1, 1)\text{ m}. All coordinates are in meters.
If the net force on the rigid body must be zero (force equilibrium satisfied), what must F3\mathbf{F}_3 be, and what moment does F3\mathbf{F}_3 alone produce about the origin?
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