An aircraft, of mass 2000 kg, is following a circular path in the vertical plane as shown in Figure 2. When the flight path of the aircraft is at an angle of 30 from the horizontal, the aircraft’s velocity is 150 m/sec, the radius of curvature of its trajectory is 1000 metres, and the net thrust (engine thrust minus drag) is T = 30 kN and acts along the flight path. Assume that the lift force L is perpendicular to the flight path. Draw a free-body diagram showing all forces acting on the aircraft. Calculate the resultant acceleration and its angle from the flight path. Also calculate the lift force L.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter9: Moments And Products Of Inertia Of Areas
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Problem 9.46P
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An aircraft, of mass 2000 kg, is following a circular path in the vertical plane as shown in
Figure 2. When the flight path of the aircraft is at an angle of 30 from the horizontal, the
aircraft’s velocity is 150 m/sec, the radius of curvature of its trajectory is 1000 metres,
and the net thrust (engine thrust minus drag) is
T = 30
kN and acts along the flight path.
Assume that the lift force L is perpendicular to the flight path.
Draw a free-body diagram showing all forces acting on the aircraft. Calculate the resultant
acceleration and its angle from the flight path. Also calculate the lift force L.

E= 1000 metres
30
Figure 2
Transcribed Image Text:E= 1000 metres 30 Figure 2
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