Question

The jet aircraft has a total mass of 23 Mg and a center of mass at G. Initially at take-off the engines provide a thrust 2T = 6 kN and T' = 2.5 kN. Neglect the mass of the wheels and, due to low velocity, neglect any lift caused by the wings. (Figure 1) Part A Determine the magnitude of the acceleration of the plane. Express your answer to three significant figures and include the appropriate units. i o ? Value Units Submit Request Answer gure < 1 of 1 Part B Determine the normal reaction on the nose wheel at A. Express your answer to three significant figures and include the appropriate units. CHHA ? 2.5 m NA= Value Units Submit Request Answer

Answer 1

* given Jet vir roofst hou total mass (m): 23 M9. Centre of mass (4) = 9 12 take off engine provide thoust 2T - GKN T': 2.5 KM FB.D of plane and 234.9.81 -3m. 2.5 kn th Okn 2394 2.5 m -gm. 2.3m Any N 1.2m E fx = Mase 2 By tuke hy) = [+)ve] [ 6+2.5 = maa [:m=23m 8.5 = 23 99 aq = 0.3695 m/sec2 mognitude de of the acceleration : aq = 0.3695 m/ see? Efya CO. take (1) = 1t) ve] 29*9.81) = 0 2 By + Ay 2 By + Ay 225.6314 11 0

Now laking moment of B. Mr. [take ) - (+)ve] E (MM) 6x(23) - (2.5) (2.5) - 23(9-81)(3) + Ay (9) = -23940 13.8 - 6:25 676.89 + 10-1982 Ay (9) (Ay = 13.29 KN) 2 By t Ay I 22563 By = 76.2 KN ay magnitude of the aceleration of the plane 104 - 0-3698 m/bres by Normal reaction on the nose wheel of A, | Ay - 73-23 kny cy Normal reaction on each of the two wing wheels located at B [ By = 76.2 KN An.