How Two Shafts Connected by Hooke's Joint Move in Opposite Direction
The Hooke's joint is a mechanical coupling that allows two shafts to rotate in opposite directions while transmitting torque. Here's how it works:

Flexible Connection:
- The Hooke's joint consists of two forks connected by a cross-shaped piece.
- Each fork is attached to one of the shafts, allowing them to rotate independently.

Angular Misalignment:
- When one shaft rotates, it causes the cross-shaped piece to move at an angle.
- This angular misalignment between the two shafts allows them to rotate in opposite directions.

Transmitting Torque:
- As the cross-shaped piece moves, it transmits torque from one shaft to the other.
- This torque transmission is what enables the shafts to rotate in opposite directions.

Applications:
- Hooke's joints are commonly used in automotive drive shafts, allowing the engine and wheels to rotate in opposite directions.
- They are also utilized in industrial machinery and robotics for transmitting motion between two non-aligned shafts.
In conclusion, Hooke's joints are a versatile mechanical coupling that enables two shafts to move in opposite directions by utilizing angular misalignment and torque transmission.