part A and B A large airplane typically bus three vets of wheels: one at the fro

Question

part A and B A large airplane typically bus three vets of wheels: one at the front and two farther back. one on each side under the wings. Consider the Boeing 787 *Dream linear*. with a mass of 199000 kg. In this particular model, the distance between the rear set of wheels is 13.7 m, and the distance from the front wheels to the rear set of wheels is 19.7 m. Randomized Variable m = 199000 kg  b = 13.7 m h = 19.7 m 50% Part (a) If the center of mass of the airplane is along a line through the center and 3 XX) m in front of the rear wheels, how much force, in meganewtons, docs the ground exert on each set of rear wheels when the plane is at rest on the runway? 50% Part (b) How much force, in meganewtons, does the ground exert on the front set of wheels? F_t =____________

Explanation / Answer

Distance bte front wheel and line joining the two rear wheel = sqrt[19.7^2 - (13.7/2)^2] = 18.47 m

The Plane is at equilibrium at it's C.O.M,
2*Fr * 3.0 m = Ff * (18.47 - 3.0) --------1

2*Fr + Ff = 199 * 10^3 * 9.8 ----------2

Solving eq 1 & 2
Fr = 816719 N
Ff = 316762 N

(A)
Force on each set of rear wheels , Fr = 816719 N

(B)
Force on each set of front wheels , Ff = 316762 N

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