An engine includes first and second power inputs, and a power output. A transmission includes an epicyclic gear train engaged with the first power input and selectively engageable with the power output. The gear train has a sun gear centrally disposed and defining a center axis of the gear train, a ring gear, and planet gears mounted to a carrier. The planet gears are rotatable about respective planet gear axes. The planet gears are disposed in meshed engagement with the sun gear and the ring gear. A brake engageable in a first position with one of the sun gear, the carrier, and the ring gear slows a rotation thereof to transfer power from the first power input to the power output. The brake in a second position is disengageable from the sun gear, the carrier or the ring gear to decouple the first power input from the power output.