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GATE ME 2022 Set 1 — Question 17

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MCQ+1 / -0.33MediumFlywheels & GovernorsBalancing, Flywheels & GyroscopesTheory of Machines & Vibrations

Theory of Machines & Vibrations → Balancing, Flywheels & Gyroscopes → Flywheels & Governors

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Question

The figure shows a schematic of a simple Watt governor mechanism with the spindle O1O2O_1O_2 rotating at an angular velocity ω\omega about a vertical axis. The balls at P and S have equal mass. Assume that there is no friction anywhere and all other components are massless and rigid. The vertical distance between the horizontal plane of rotation of the balls and the pivot O1O_1 is denoted by hh. The value of h=400 mmh = 400 \text{ mm} at a certain ω\omega. If ω\omega is doubled, the value of hh will be _________ mm.
A schematic of a Watt governor. Spindle O1O2 is vertical. Arms of length l1 connect O1 to balls P and S. Arms of length l2 connect balls P and S to a sleeve QR on the spindle. The vertical distance from O1 to the plane of the balls is h. Gravity g = 9.8 m/s^2 is indicated.
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