Solve the below problem:
Q: A 2.5-kg homogeneous disk of radius 100 mm rotates with an angular velocity ω1 with respect to arm ABC, which is welded to a shaft DCE rotating as shown at the constant rate ω2 = 12 rad/s. Friction in the bearing at A causes ω1 to decrease at the rate of 15 rad/s2. Determine the dynamic reactions at D and E at a time when ω1 has decreased to 50 rad/s.