Q3 (Gyroscopes) The essential structure of a certain type of aircraft turn indicator is shown in the figure. Springs AC and BD are initially stretched and exerts equal vertical forces at A and B when the aircraft is turning in a straight path. Each spring has a constant of 500 N/m and the uniform disk has a mass of 200 g and spins at the rate of 10,000 rpm. Determine the angle through which the yoke will rotate when the pilot executes a horizontal turn of 750-m radius to the right of at the speed of 800km/h. Indicate whether the point A will move up or down. -100 mm G mm (Hint: Problem can be solved first by finding rate of change of angular momentum (gyroscope), and then using the equivalence of external and effective forces).

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Q3 (Gyroscopes)
The essential structure of a certain type of
aircraft turn indicator is shown in the
figure. Springs AC and BD are initially
stretched and exerts equal vertical forces
at A and B when the aircraft is turning in a
straight path. Each spring has a constant
of 500 N/m and the uniform disk has a
mass of 200 g and spins at the rate of
10,000 rpm. Determine the angle through
which the yoke will rotate when the pilot
executes a horizontal turn of 750-m radius
to the right of at the speed of 800km/h.
Indicate whether the point A will move up
or down.
C
-100 mm.
40 mm
(Hint: Problem can be solved first by
finding rate of change of angular momentum (gyroscope), and then using the equivalence of
external and effective forces).
Transcribed Image Text:Q3 (Gyroscopes) The essential structure of a certain type of aircraft turn indicator is shown in the figure. Springs AC and BD are initially stretched and exerts equal vertical forces at A and B when the aircraft is turning in a straight path. Each spring has a constant of 500 N/m and the uniform disk has a mass of 200 g and spins at the rate of 10,000 rpm. Determine the angle through which the yoke will rotate when the pilot executes a horizontal turn of 750-m radius to the right of at the speed of 800km/h. Indicate whether the point A will move up or down. C -100 mm. 40 mm (Hint: Problem can be solved first by finding rate of change of angular momentum (gyroscope), and then using the equivalence of external and effective forces).
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