Introduction:
In automobiles, Hooksjoint is used as a connecting mechanism between various components of the drivetrain. It plays a crucial role in transmitting torque and rotational motion from one component to another. Among the given options, Hooksjoint is used between the gear box and the differential.

Explanation:
The drivetrain of an automobile consists of several components that work together to transmit power from the engine to the wheels. One of the key components in this system is the differential, which is responsible for distributing torque to the wheels while allowing them to rotate at different speeds during turns.

The gear box, on the other hand, is a mechanical device that allows the driver to select different gear ratios to optimize the vehicle's speed and power output.

Function of Hooksjoint:
Hooksjoint, also known as a universal joint or U-joint, is used to connect the gear box to the differential. Its main function is to transmit torque and rotational motion from the gear box to the differential, allowing the power generated by the engine to be delivered to the wheels.

Working of Hooksjoint:
Hooksjoint consists of two yokes or forked ends connected by a cross-shaped member. Each yoke is attached to a rotating shaft, one coming from the gear box and the other going to the differential.

When the gear box rotates, it transfers the rotational motion and torque to one yoke of the Hooksjoint. The cross-shaped member allows the yoke to rotate while maintaining a constant velocity ratio with the gear box shaft.

The other yoke connected to the differential receives this rotational motion and torque from the Hooksjoint. It then transfers it to the differential, which further distributes it to the wheels.

Advantages of Hooksjoint:
- Hooksjoint allows for the transmission of torque at different angles and misalignments between the gear box and the differential.
- It compensates for the relative movement between the gear box and the differential during suspension travel and axle articulation.
- Hooksjoint helps to reduce vibration and noise generated by the drivetrain, resulting in a smoother and quieter ride.

Conclusion:
In automobiles, Hooksjoint is used between the gear box and the differential to transmit torque and rotational motion. Its flexible and versatile design allows for the smooth operation of the drivetrain, compensating for misalignments and vibrations.