Which statement is true for an object in neutral equilibrium?

• A. The center of gravity will remain at the same height when tilted
• B. The center of gravity will lower when tilted
• C. The center of gravity will raise when tilted
• D. All of the answers are correct

Answer: (A)

Neutral equilibrium occurs when small displacements do not change the height of the center of gravity, so the gravitational potential energy remains constant. Because height doesn’t change, there’s no restoring or tipping force acting to move the object back to a particular orientation or to topple it further. The center of gravity staying at the same height means the object can settle in any orientation without a tendency to rise or fall.

That’s why the true statement is that the center of gravity will remain at the same height when tilted. If it lowered, the configuration would be unstable, and if it rose, there would be a restoring effect characteristic of stable equilibrium. The option that all statements are correct would imply both lowering and not lowering, which isn’t consistent with neutral equilibrium. A good real-world intuition is a perfectly balanced ball on a flat surface: tilt it slightly, and it rolls to a new orientation, but the center of gravity stays at the same height.