Can we write equations for strings in pulley systems?

[Kartik.]

Ofcourse we can write the equations for blocks on a single fixed pulley taking the tension upwards and weight as downwards and then equating according to the acceleration. Can we write equations for the string (massless or with mass)?

 

[mfb]

Equations for what, where?
I would expect that the answer is "yes", but the question is quite unclear (at least to me).

 

[Pkruse]

If someone can rig up a system of pullies, then we can write the equations for that system. Why don't you suggest an example?

 

[PhanthomJay]

If the string has mass, its tension will be variable (not constant), but you can still apply Newton's laws to it. If it has no mass, it just serves to transmit forces between objects with mass, at a constant tension. There cannot be any net force acting on it, although it would still accelerate along with the object it supports.

 

[PJC01]

Yes, we can write equations for strings in pulley systems. In order to do so, we must consider the properties of the string, such as its mass and whether it is massless or not. The equations for strings in pulley systems would involve the forces acting on the string, including tension and weight, as well as the acceleration of the system. By taking into account these factors, we can accurately describe the behavior of the string in the pulley system using mathematical equations. These equations can then be used to analyze and predict the motion of the pulley system, making them an essential tool for understanding and studying such systems. However, it is important to note that the equations may vary depending on the specific setup of the pulley system, so it is crucial to carefully consider all factors when writing equations for strings in pulley systems.