Question

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Answer 1

The rigid body that is in equilibrium is the one for which the sum of all the forces acting on it is zero and the sum of all the torques (or moments) acting on it is also zero. (Option B)

• Equilibrium refers to a state where an object is at rest or moving at a constant velocity with no net force or torque acting on it.
• When forces act on a rigid body in the same plane, the body can be in equilibrium if the conditions of translational and rotational equilibrium are satisfied.
• Translational equilibrium means that the vector sum of all the forces acting on the body is zero. In other words, the forces cancel each other out, resulting in no net force.
• Rotational equilibrium means that the vector sum of all the torques acting on the body is zero. Torque is the rotational equivalent of force, and for rotational equilibrium, the torques must balance each other out.
• If both the conditions of translational and rotational equilibrium are met, the body remains at rest or moves with a constant velocity.
• It is important to note that the body can be in equilibrium even if individual forces or torques are acting on it, as long as the net sum is zero.
• Therefore, any rigid body in which the sum of forces and sum of torques acting on it are both zero will be in equilibrium when the forces are applied in the same plane.

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