Discussion
Assertion (A): A fast, heavy rotor is preferred in a mechanical gyroscope.
Reason (R): Precession rate is inversely proportional to angular momentum.
Select the correct answer from the options below.
Answer: A
Correct answer: Both A and R are true, and R is the correct explanation of A
Both are true and the second is the reason for the first. Precession rate is \( T/I\omega \), so a larger angular momentum means less unwanted movement for the same disturbing torque.
Designers therefore make the rotor as heavy and as fast as the bearings allow, and concentrate its mass at the rim where it contributes most to the moment of inertia. The same relation explains why a rotor running down drifts progressively faster.
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