If that were true, why would the pulley rotate?Shivang kohlii said:
Why should it rotate ? It's fixed to a table so the tension in both strings should be sameharuspex said:
That's the issue .. I don't know how to establish a relation..Chestermiller said:
The pulley doesn't know what the string is attached to. This is not a massless pulley. If the pulley has accelerating rotation, some net torque must cause it. Where is that coming from?Shivang kohlii said:
Establishing the kinematic relation is a math problem. The length of the rope is constant. This is the constraint you need to use.Shivang kohlii said:
A constraint relation in a pulley spring system refers to the mathematical relationship between the displacement of the pulley and the extension of the spring. This relationship is essential for understanding the behavior and forces involved in the system.
The constraint relation in a pulley spring system is determined by analyzing the geometry and forces acting on the system. This typically involves drawing free body diagrams and applying Newton's laws of motion to the system.
The variables involved in the constraint relation of a pulley spring system include the displacement of the pulley, the extension of the spring, the mass of the objects attached to the system, and the forces acting on the system, such as tension and weight.
The constraint relation plays a crucial role in determining the motion of a pulley spring system. It helps to calculate the acceleration of the system and the forces involved, which ultimately dictate the direction and speed of the motion.
Yes, the constraint relation in a pulley spring system can be modified by changing the geometry or forces acting on the system. For example, altering the position of the pulley or adding additional springs can change the constraint relation and thus affect the behavior of the system.
