An airplane of total mass 150Mg with four engines located sy

An airplane of total mass 150Mg with four engines located symmetrically at opposite sides of the airplane at two different locations starts from rest to taxi on the runway at a velocity of 100m/s in a distance of 500m. What is the thrust in units of kN developed for each engine? For problem #3, what is the normal reaction at point A where the nose of the plane is in contact with ground in units of kN?

Solution

3) v^2 = 2 * a * s

   100^2 = 2 * a * 500

   a   = 10 m/s^2

   Thrust per engine   = m * a / 4 = 150*10^3 * 10 / 4 = 375000 kN

4)   Vertical force balance

      Ra + Rb = 150000 * 9.8

      Moment Balance about B

      Ra * 37.5   = 150000 * 9.8 * 7.5

      Ra   = 294 kN