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What is not the condition for the equilibrium in free body diagram for calculation of the normal forces?

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What is not the condition for the equilibrium in free body diagram for calculation of the normal forces?

(a) ∑Fx=0

(b) ∑Fy=0

(c) ∑Fz=0

(d) ∑F≠0

This question was addressed to me by my school teacher while I was bunking the class.

My enquiry is from Characteristics of Dry Friction topic in chapter Friction of Engineering Mechanics

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Correct option is (d) ∑F≠0

To explain: 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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