The mass m in Figure E3.13 is subjected to a time varying damping force f t d ( ). The differential equation describing the motion is m= =f d (t) where v(t) is the velocity of the mass and...

The mass m in Figure E3.13 is subjected to a time varying damping force f t d ( ). The differential equation describing the motion is m==f_d(t) where v(t) is the velocity of the mass and

a.       Use trapezoidal integration with suitable step size T to approximate the velocity v(t), t ≥ 0 Note, m =1 slug and the initial velocity v(0)=10 ft/s

b.      Compare the simulated response v_A(n), n=0,1,2, ... in part (a) to the exact solution v(t)=10(1+t)e^-1
, t0.