What happens to spring 1 and spring 2 when a drum rotates while a belt passes over it and friction is present?

When analyzing the scenario of a drum rotating while a belt passes over it, we must consider the forces exerted due to friction and the physical properties of the springs involved. In this case, the rotation of the drum exerts forces on the belt, which translates to additional tension in certain parts of the system.

Spring 1, which is likely oriented in a manner to bear the tension from the rotational motion and the friction between the belt and the drum, will be subject to an increase in length due to the stretch from this tension. The friction keeps the belt from slipping and allows the spring to extend.

Conversely, Spring 2 is likely in a position where it opposes the action of the tension from the rotating belt and may be compressed as it counteracts the stretching happening in Spring 1. The forces acting on Spring 2 result in its contraction as the surrounding system dynamics dictate that it cannot maintain its original length against the tension exerted by Spring 1.

Therefore, the interaction between the two springs, influenced by the drum's rotation and the frictional forces involved, leads to Spring 1 becoming longer and Spring 2 becoming shorter, which is why this outcome accurately reflects the physical behavior of the system under the described conditions.