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Two conditions of equilibrium for an object acted upon by parallel forces are:
1. The sum of all forces acting on the object in one direction must be equal to the sum of all forces acting in the opposite direction. This means that the net force acting on the object is zero, resulting in translational equilibrium. For example, if two forces of equal magnitude but opposite directions are applied to an object, the object will be in equilibrium as the forces cancel each other out.
2. The sum of all torques (rotational forces) acting on the object must be zero. This condition is necessary for rotational equilibrium. Torque is the product of a force and the perpendicular distance from the pivot point to the line of action of the force. To maintain rotational equilibrium, the clockwise torques must balance the counterclockwise torques. For instance, if a seesaw is balanced with weights on either side, the torques produced by the weights will be equal and opposite, keeping the seesaw in equilibrium.
By satisfying these two conditions, an object acted upon by parallel forces can remain in equilibrium, both in terms of translation and rotation.
