What connects the elevator car to the door openings?

The correct answer identifies the hoist as the component that connects the elevator car to the door openings. The hoist is responsible for raising and lowering the elevator car within the shaft, ensuring that the car aligns correctly with the landing doors at each floor. This alignment is crucial for allowing passengers to safely enter and exit the elevator.

In the context of elevator mechanics, the term "hoist" particularly refers to the system comprising the ropes and pulleys or other lifting mechanisms that facilitate the vertical movement of the elevator car. By controlling the position of the car, the hoist ensures that the doors open and close at the right time, contributing to the overall safety and functionality of the elevator system.

The other options, while related to elevator operations, serve different functions: a traveling cable provides the necessary electrical supply and communication between the car and the control systems, a sheave plays a role in the change of direction of the hoisting cable, and a governor is a safety device that helps control the speed of the elevator. Each of these components enhances the elevator's operation but does not directly relate to connecting the car to the door openings.