Meriam, Kraige & Bolton — Statics of Particles: Problem 2_140

⚡ Mecademy AIENG정역학 · ch2  Problem Statement 2/140 The commercial airliner of Prob. 2/82 is redrawn here with three-dimensional information supplied. If engine 3 suddenly fails, determine the resultant of the three remaining engine thrust vectors, each of which has a magnitude of 90 kN. Specify the y- and z- coordinates of the point through which the line of action of the resultant passes. This information would be critical to the design criteria of performance with engine failure. Problem 2/140 1. Analysis of Engine Positions and Thrust Forces From the problem statement and the provided diagrams (Problem 2/140 and 2/82), we can establish the positions of the engines relative to the coordinate system at . The -axis is the longitudinal axis (pointing forward), the -axis is the lateral axis (positive to the right), and the -axis is vertical (positive upwards). Each engine produces a thrust of in the forward direction, which corresponds to the positive -direction: . According to the diagrams: Engine 1 (Outboard Left): , Engine 2 (Inboard Left): , Engine 3 (Inboard Right): , (Fails) Engine 4 (Outboard Right): , The -coordinates are negative because the engines are located below the fuselage centerline where the origin is placed. 2. Determination of the Resultant Force The resultant force is the vector sum of the thrusts from the three remaining engines (1, 2, and 4). ● Calculation Process 1. Present Final Formula: Ox y z F=90 kN xF = i 90i kN y = 1 −12 mz = 1 −2 m y = 2 −9 mz =