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What is not the criteria for the equilibrium in potential energy free body diagram?

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What is not the criteria for the equilibrium in potential energy free body diagram?

(a) ∑Fx=0

(b) ∑Fy=0

(c) ∑Fz=0

(d) ∑F≠0

This question was addressed to me during an internship interview.

This interesting question is from Potential Energy Criterion for Equilibrium in portion Principle of Virtual Work of Engineering Mechanics

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Correct option is (d) ∑F≠0

Best explanation: For the equilibrium in the three dimensional system of axis we have all the conditions true as, ∑Fx=0, ∑Fy=0 and ∑Fz=0. Also, we have the summation of the forces equal to zero. Which is not a non-zero value.

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