GATE ME 2021 Set 2 — Question 26
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Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Flywheels & Governors
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Question
The controlling force curves P, Q and R for a spring controlled governor are shown in the figure, where and are any two radii of rotation.
The characteristics shown by the curves are
Correct answer
(B) P – Unstable; Q – Isochronous; R – Stable
Solution
For a spring-controlled governor, the controlling force is related to the radius of rotation by the equation . The stability and isochronism are determined by the intercept :
1.Stable Governor: The governor is stable if the controlling force curve has a negative intercept on the axis (). Curve R shows this characteristic.
2.Isochronous Governor: The governor is isochronous if the controlling force curve passes through the origin (). Curve Q shows this characteristic.
3.Unstable Governor: The governor is unstable if the controlling force curve has a positive intercept on the axis (). Curve P shows this characteristic.
Therefore, the correct matching is: P – Unstable; Q – Isochronous; R – Stable.Continue learning with Success Tracker
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