b) 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. T= 1000 mtes 307

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.62P
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(b) 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.
%3D
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.
P= 1000 ms
Figure 2
Transcribed Image Text:(b) 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. %3D 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. P= 1000 ms Figure 2
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