Pure Translation - Example Problem 6.5-3

 

The 30,000-kg fighter aircraft shown has a primary engine that generates 200 kN of thrust during takeoff. Neglecting the effect of air drag, determine the acceleration of the aircraft and the reaction forces experienced by the front landing gear wheel and each of the two rear landing gear wheels while the aircraft is still traveling horizontally on the ground. Neglect the rolling friction of the wheels.

 

 

Given:

• m = 30,000 kg
• T = 200 kN
• Neglect drag and friction

 

Find: N_A, N_B

 

Video solution:

 

The following video walks you through the solution to this problem. It is suggested that you try solving the problem first and then, if you have difficulties with the solution, watch the video for help.

 

 

Interactive solution:

 

Draw a free-body diagram of the plane. Click on the figure to see the FBD.

 

Apply Newton's second law in the x-direction to find the acceleration of the plane.

 

a_x = m/s²