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Question

A rod is balanced vertically on one of its ends. Which one among the following is the correct nature of its state of equilibrium?

This question was previously asked in
CDS 2 2026 Maths Question Paper (13-Sep-2026)
The correct answer is

Unstable equilibrium

A rod balanced vertically on one end is analogous to an inverted pendulum: any small displacement moves its centre of gravity further away from the balance point, increasing the disturbing torque instead of restoring it. This makes the equilibrium unstable, since the slightest disturbance causes the rod to topple rather than return to its original position.

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