The helicopter below features a pair of counter-rotating rotors that provide stability and lift. The forcesFA and FB lie in the xy plane, and aд and a represent angles about the z-axis. The helicopter's enginethrust produces forces Fc and FD, whose lines of action act in the y direction. Forces QA and QB arelift forces developed by the rotors, which act in the z-direction. Moments MA and M³ result from therotation of the rotors and are directed in the ±z direction, as shown. Points A, B, C, and are locatedon the lines of action of the given forces and moments. Note that point D is located on the opposite sideof the helicopter and is not visible in the figure. Based on A, B, C, and D coordinates, the angles aand ag, and magnitudes of the forces and moments listed below, compute an equivalent force systemacting at the origin of the coordinate system, point O.αB FBMBQBFp Fc CB2MALAFA, VAyA (0, 35, 12) ft,C (9,-40, 8) ft,FA = 700 lb,2A = 9000 lb,FB = 600 lb,QB = 8000 lb,Fc = 400 lb,B (0, -40, 20) ftD (-9,-40, 8) ftaA = 5°MA = 16,000 ft-lbαB = 8⁰MB = 14,000 ft-lbFD = 400 lb.

Given: To find: Equivalent system acting at point O

The helicopter below features a pair of counter-rotating rotors that provide stability and lift. The forces FÅ and FÅ lie in the xy plane, and α and a represent angles about the z-axis. The helicopter's engine thrust produces forces Fc and Fp, whose lines of action act in the y direction. Forces QA and QB are lift forces developed by the rotors, which act in the z-direction. Moments MA and M³ result from the rotation of the rotors and are directed in the ±z direction, as shown. Points A, B, C, and D are located 2 on the lines of action of the given forces and moments. Note that point D is located on the opposite side of the helicopter and is not visible in the figure. Based on A, B, C, and D coordinates, the angles a and ağ, and magnitudes of the forces and moments listed below, compute an equivalent force system acting at the origin of the coordinate system, point O.

The helicopter below features a pair of counter-rotating rotors that provide stability and lift. The forces FÅ and FÅ lie in the xy plane, and α and a represent angles about the z-axis. The helicopter's engine thrust produces forces Fc and Fp, whose lines of action act in the y direction. Forces QA and QB are lift forces developed by the rotors, which act in the z-direction. Moments MA and M³ result from the rotation of the rotors and are directed in the ±z direction, as shown. Points A, B, C, and D are located 2 on the lines of action of the given forces and moments. Note that point D is located on the opposite side of the helicopter and is not visible in the figure. Based on A, B, C, and D coordinates, the angles a and ağ, and magnitudes of the forces and moments listed below, compute an equivalent force system acting at the origin of the coordinate system, point O.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Section: Chapter Questions

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Question

The helicopter below features a pair of counter-rotating rotors that provide stability and lift. The forces
FA and FB lie in the xy plane, and aд and a represent angles about the z-axis. The helicopter's engine
thrust produces forces Fc and FD, whose lines of action act in the y direction. Forces QA and QB are
lift forces developed by the rotors, which act in the z-direction. Moments MA and M³ result from the
rotation of the rotors and are directed in the ±z direction, as shown. Points A, B, C, and are located
on the lines of action of the given forces and moments. Note that point D is located on the opposite side
of the helicopter and is not visible in the figure. Based on A, B, C, and D coordinates, the angles a
and ag, and magnitudes of the forces and moments listed below, compute an equivalent force system
acting at the origin of the coordinate system, point O.
αB FB
MB
QB
Fp Fc C
B
2
MA
LA
FA, VA
y
A (0, 35, 12) ft,
C (9,-40, 8) ft,
FA = 700 lb,
2A = 9000 lb,
FB = 600 lb,
QB = 8000 lb,
Fc = 400 lb,
B (0, -40, 20) ft
D (-9,-40, 8) ft
aA = 5°
MA = 16,000 ft-lb
αB = 8⁰
MB = 14,000 ft-lb
FD = 400 lb.

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