Physics Vectors & Equilibrium PMDC Conceptual Practice
PMDC Verified Question 26 of 50
When a rigid body satisfies the first condition of equilibrium (\(\Sigma \vec{F} = 0\)), it is guaranteed to be in:
A
Translational equilibrium
B
Rotational equilibrium
C
Complete static equilibrium
D
Dynamic rotational equilibrium
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Translational equilibrium
Concept:
The first condition of equilibrium and its physical consequence.

Solution:
The first condition of equilibrium states that the vector sum of all forces acting on a body must be zero (\(\Sigma \vec{F} = 0\)). According to Newton's second law (\(\Sigma \vec{F} = m\vec{a}\)), this ensures that the translational acceleration of the body's center of mass is zero. Therefore, the body is in translational equilibrium.

Why other options are incorrect:
  • Rotational equilibrium requires the sum of all torques to be zero (the second condition).
  • Complete static equilibrium requires both translational and rotational equilibrium to be satisfied, and the body must be at rest.

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