A switch mechanism 10, 110, 210 includes a support 24 and a plurality of switches 50 connected to the support 24. An encoder 26 connected to the support 24 has a shaft 28 rotatable about an axis 18 of the shaft relative to the support. The encoder 26 sends a signal in response to a sensed rotational position of the shaft 28 about the axis 18 relative to the support 24. An actuator 12 is rotatable with the shaft 28 about the axis 18 of the shaft relative to the support 24 and tiltable relative to the axis of the shaft to actuate any of the plurality of switches 50 when the shaft is in any rotational position relative to the support. A connector assembly 30, 130, 230 interconnects the actuator 12 and the shaft 28. The connector assembly 30, 130, 230 transmits rotational movement of the actuator 12 to the shaft 28 and permits tilting movement of the actuator relative to the axis 18. Each of the switches 50 has a central axis 52 and an upper surface 54 that moves to actuate the switch. A lever 60 is pivotal about a pivot axis 78. The lever 60 has a lower surface 64 engaging the upper surface 54 of the switch 50 at a first location 66 on the central axis 52. The actuator 12 engages an upper surface 70 of the lever 60 at a second location 74 to pivot the lever toward the upper surface 54 of the switch 50 to actuate the switch. The pivot axis 78 is spaced from the first location 66 a first vertical distance Dl extending parallel to the central axis 52 of the switch 50. The second location 74 is spaced from the first location 66 a second vertical distance D2 in a direction extending parallel to the central axis 52. The first distance Dl is smaller than the second distance D2.