Morse Industrial manufactures the speed reducer shown. If a motor drives the gear shaft S with an angular acceleration of α = (0.4e^t) rad/s², where t is in seconds, determine the angular velocity of shaft E when after starting from rest.The radius of each gear is listed in the figure. Note that gears B and C are fixed connected to the same shaft.

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A B D E TA = 20 mm TB = 80 mm Tc = 30 mm TD = 120 mm