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The necessary condition of equilibrium of a body is-
Question

The necessary condition of equilibrium of a body is-

A.

∑ Fy=0, ∑M=0

B.

∑ Fx=0, ∑M=0

C.

∑Fx=0, ∑Fy=0

D.

∑Fx=0, ∑Fy=0, ∑M=0

Correct option is D


The equilibrium of a rigid body in a two-dimensional plane requires that the resultant force and moment acting on the body must be zero. This gives the following necessary conditions for equilibrium: a
1∑Fx=0 : The sum of all forces in the horizontal direction must be zero.
2ΣFy=0 : The sum of all forces in the vertical direction must be zero.
3∑M=0 : The sum of all moments about any point must be zero.
These conditions ensure that the body is in both translational and rotational equilibrium, meaning there is no net force or moment acting on the body, keeping it stationary.

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