With sufficient friction I think you will find it rotates clockwise. The problem is non-trivial though, and I would need to write out the equations to see what happens. In the case of slipping, the amount of slipping could vary considerably, depending on the frictional force. With sufficient frictional force and/or no slipping, I believe it rotates clockwise. The rolling motion can also be considered to be an instantaneous rotation about the point of contact with the table if no slipping is occurring. ## \\ ## In the case of slipping, I think you could compute the torques about the center of mass to see which way it rotates. If the frictional force is small or zero, clearly it rotates counterclockwise.Adriano25 said:
Please read the addition to my last post. Additional item is without slipping, I think you will find the torque when computed about the center of mass makes it rotate the other way because the frictional force is in the other direction and R2 is larger than R1 so it adds more clockwise torque than the inner string's counterclockwise torque. ## \\ ## There are two equations to write for the motion: The sum (or difference) of the two forces equals "ma" and the torque equation for the rotating motion. Without any slipping, these two equations are connected by the additional equation that the rotating motion equals the distance traveled. In any case, I think the string length will also enter into the solution to see how hard the hanging mass tugs depending on the acceleration of the mass, etc.Adriano25 said:
Please read the additions to my very last post.Adriano25 said:
A rotate spool is a type of mechanical device that consists of a massless inner cylinder and uniform cylinders that are stacked on top of each other. The inner cylinder is free to rotate, while the outer cylinders remain stationary.
The massless inner cylinder rotates due to the friction between it and the stationary outer cylinders. This friction causes the inner cylinder to rotate in the opposite direction of the outer cylinders.
A rotate spool has multiple purposes, including transferring power or torque between two shafts, controlling the speed or direction of rotation, and providing a mechanical advantage for lifting heavy objects.
Rotate spools are commonly used in various mechanical systems, such as engines, transmissions, and conveyor systems. They can also be found in everyday objects like fishing reels and pencil sharpeners.
One of the main advantages of using a rotate spool is its ability to transfer power or torque between two shafts while allowing for speed and direction control. It also has a simple design and can be easily incorporated into various mechanical systems.