a heavy weight suspended on a string
a cone resting on its slant edge
a heavy-based table lamp
the beam of a balance in use
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In a neutral equilibrium, any displacement from the equilibrium position does not result in any net force or torque.
Considering the options:
A. A heavy weight suspended on a string: This is in stable equilibrium, not neutral equilibrium. If displaced, it will swing back due to the restoring force of gravity.
B. A cone resting on its slant edge: This is in unstable equilibrium. If slightly displaced, it will fall over.
C. A heavy-based table lamp: This is also in stable equilibrium. If slightly displaced, it will return to its original position due to the force of gravity.
D. The beam of a balance in use: This is an example of neutral equilibrium. The beam of a balance is at rest when it is perfectly horizontal, and any slight displacement from this position doesn't cause it to move further in that direction. It returns to its original position when the external force is removed.
So, the correct answer is:
D. the beam of a balance in use



