Final answer:
To keep the object at rest, force Y must be equal in magnitude and opposite in direction to force X; thus, its magnitude is x and direction is upward.
Step-by-step explanation:
The magnitude and direction of force Y, given that the object remains at rest, must balance exactly the magnitude and direction of force X.
Since force X has a magnitude of x and is acting in the downward direction, force Y must have the same magnitude to counteract force X and keep the object in equilibrium. Therefore, the correct answer is magnitude: x, direction: Upward.
The object remains at rest when the two forces are balanced. Since force X acts in the downward direction, force Y should have the same magnitude as force X but act in the opposite direction to balance it. Therefore, the magnitude of Y is x and the direction of Y is upward.