Which statement about belt drive systems is false?

In the context of belt drive systems, the statement regarding the tension in the bottom belt being always double that in the top belt is misleading and can be considered false. In a properly functioning belt drive system, the tension in the belt varies depending on several factors, including the load on the driven pulley, the friction between the belt and the pulleys, and the angle of contact.

While it is common to see different tension levels between the tight side (top) and the slack side (bottom) of a belt, stating that the bottom belt tension is always double the top belt tension is an oversimplification and does not hold true under various operating conditions. The actual relationship between the tensions would need to be calculated based on the system's specific dynamics and load conditions.

The other statements accurately describe principles of belt drive systems. The linear speed of pulleys does indeed equal that of the belt, ensuring that the belt moves at the same speed as the pulleys driving it. The rotational speed for pulleys of equal diameter is also equivalent because they maintain the same speed while the belt is in motion. Lastly, the frictional force is necessary to enable the movement of the follower pulleys, as it allows the belt to transfer motion efficiently from one pulley