derive the differential equation of motion.

A 225kN test aircraft moving with velocity v = Xo = 25 km/h collides with a rigid barrier at t = 0. As a result of the behaviour of its energy absorbing capabilities, the response of the aircraft to the collision can be simulated by the damped spring- mass oscillator shown with k = 3MN/m and c = 840 kN. s/m. Assume that the mass is moving to the left with a velocity vo = xo = 25 km/h and the spring is unstretched at t = 0 determine the aircraft's deceleration: a) Immediately after it contacts the barrier; b) att = 0.04s and; c) at t= 0.08s. Vo = ******** xo ****** Vo = xo www m Figure Q5 - Aircraft Collision F(t)

Q3: Drive the Euler's equation of motion.