The uniform slender rod AB of length L = 800 mm and mass 5 kg rests on a small wheel at D and is attached to a collar of negligible mass that can slide freely on the vertical rod EF. Knowing that a = 200 mm and that the rod is released from rest when θ = 0, use computational software to calculate and plot the angular velocity of the rod and the velocity of end A for values of θ from 0 to 50°. Determine the maximum angular velocity of the rod and the corresponding value of θ