An exercise machine that can simulate the act of paddling a kayak with a spinning flywheel to provide exercise resistance and also produce a gyroscopic force to rock the exercise platform for a realistic effect. The flywheel is mounting on a shaft with moving supports that allow the flywheel and shaft to articulate in one plane only. Paddling inputs from the operator cause the flywheel to spin and also apply a force couple to the flywheel shaft itself in a direction where there is freedom of movement. The force couple applied to the spinning flywheel shaft causes a gyroscopic reaction force that is 90 degrees offset and in a new plane where the mounting method for the shaft does not provide a freedom of motion to articulate. In this plane the forces are transmitted to the exercise platform and cause a rocking reaction due to the gyroscopic force of the spinning flywheel.