Forces of 3 kN and 200 N are exerted at points B and C of the main rotor of a helicopter,...

Forces of 3 kN and 200 N are exerted at points B and C of the main rotor of a helicopter, and force F is exerted at point D on the tail rotor. The 3 kN forces are parallel to the xyz axis, the 200 N forces are perpendicular to the main rotor and are parallel to the xy plane, F is parallel to the y axis, and α = 45°.

(a) Determine the value of F so that the c component of the moment about point O of all rotor forces is zero.

(b) Using the value of F found in Part (a), determine the resultant moment of all rotor forces about point O.

(c) if α is different than 45°. do your answers to Parts (a) and (b) change? Explain.

Figure P4.24