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GATE Mechanical Engineering (ME) 2019 Shift 1 Solved Paper

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Question : 64 of 65

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The rotor of a turbojet engine of an aircraft has a mass

180\,\text{kg}

and polar moment of intertia 10

\text{kg} \cdot \text{m}^{2}

about the rotor axis. The rotor rotates at a constant speed of

1100\,\text{rad/s}

in the clockwise direction when viewed from the front of the aircraft. The aircraft while flying at a speed of 800

\text{km}

per hour takes a turn with a radius of

1.5\,\text{km}

to the left. The gyroscopic moment exerted by the rotor on the aircraft structure and the direction of motion of the nose when the aircraft turns, are

$162.9\,\text{N}\cdot\text{m}$ and the nose goes down
$1629.6\,\text{N}\cdot\text{m}$ and the nose goes up
$1629.6\,\text{N}\cdot\text{m}$ and the nose goes down
$162.9\,\text{N}\cdot\text{m}$ and the nose goes up

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