Question

can you help with this problem, please? Thanks.

6. The lift loading on the wing of an aircraft is well represented by: w(x) = w. (2/1). (5) In formula (5), w, is the lift force per unit (span) length at the root of the wing (the end attached to the fuselage), 1 is the length (aka span) of the wing, x is the distance from the wing tip, and 0 < a < 1 is a known exponent that depends on the wingtip shape. (a) Determine a formula for the resultant force and the location of its line of action in terms of w.,l, a. (b) Evaluate these for the values w. = 150 lb/ ft, 1 = 8 ft, and a = 0.5 Lift LG Structural Weight Engine Payload Fuel Weight

Answer 1

[solution] (9) Resultant (R) & it location from left. and X : - ixo -- 25 € AP - R = I wrxoda a wridx = ţw. (z jedke v (og of me x dx or (Area of the W(x)) > 1 - -- -- - - - - - - - ---- - --- p Ans.

ž= x wcx) dx Jaw(x) da .. (C. G. of W(*)) { win idx Worldx •(-) + 4 +27 alto 102 La (Wollea -- - - - - +1 - - ADS: 2+2 ) (b ) For Wo=150 eblft, L: 8ft, x=0.5, : TRS e Wol. 150 x 8.. les - طو مو و --> Ans -- Am Xti (xt orst I x = - 4.8 ft PARK oista /

Please Rate,

Thank You!!!