A 2.5-kg homogeneous disk of radius 100 mm rotates at the constant rate 1 = 50 rad/s

A 2.5-kg homogeneous disk of radius 100 mm rotates at the constant rate ω1 = 50 rad/s with respect to arm ABC, which is welded to a shaft DCE. Knowing that at the instant shown shaft DCE has an angular velocity of ω2 = (12 rad/s)k and an angular acceleration α2 = (8 rad/s2) k, determine

(a) The couple which must be applied to shaft DCE to produce that angular acceleration,

(b) The corresponding dynamic reactions at D and E.

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D 150 mm 4 150 mm 150 mm 100 m B 75 mm