A rigid body is said to be in partial equilibrium, when it is in (a) translational equilibrium o

step 1 In this question we have to tell that when a rigid body is said to be in partial equilibrium as

A rigid body is said to be in partial equilibrium, when it...

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Key Concepts

Translational Equilibrium

This is the condition where the vector sum of all external forces acting on a body is zero, ensuring that there is no linear acceleration of the body. In rigid body dynamics, a body in translational equilibrium will not change its state of translational motion, meaning its center of mass remains at rest or moves with a constant velocity.

Rotational Equilibrium

Rotational equilibrium occurs when the sum of all moments (or torques) about any axis is zero, ensuring that there is no angular acceleration. A body in rotational equilibrium does not experience any net change in its rotational motion. This condition is crucial in statics when analyzing bodies that might not be moving, yet could potentially rotate if subjected to unbalanced moments.

Partial Equilibrium

Partial equilibrium refers to a state in which only one of the two equilibrium conditions (translational or rotational) is satisfied, but not both. This means that a rigid body can be balanced against forces (translational equilibrium) while still having a net moment acting on it, or vice versa. Understanding partial equilibrium is essential when analyzing cases where a body is not completely static, but only half in balance.

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