For a rigid body to remain in equilibrium it is necessary and sufficient that A) $\Sigma$ = 0 B)$\Sigma$ $\alpha$ = 0 C)$\Sigma$ = 0; $\Sigma$ = 0 D)$\Sigma$ = 0 E)$\Sigma$ mr² = 0

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Choice C is the statement of both necessary and sufficient conditions for a rigid body to remain in equilibrium, known as the first and second conditions of equilibrium, respectively. The sum of forces acting on the body must be equal to zero, and the sum of torques (or moments) about any point must also be equal to zero. Choice A is an incomplete statement of the first condition, as it only shows the sum of forces in one direction. Choice B is not a valid statement. Choice D is an incomplete statement of the second condition, as it only shows the sum of torques about one axis. Choice E is also an incomplete statement of the second condition, as it only shows the sum of torques about one point.

For a Rigid Body to Remain in Equilibrium It Is Σ\SigmaΣ

For a Rigid Body to Remain in Equilibrium It Is $\Sigma$