Pulley Systems: Tension in Strings Holding m1 and m2

[physicsnoob93]

Homework Statement

The Attempt at a Solution

Just want to make sure if my concept is right. If the tension in the string holding m1 is T, the tension on the string holding m2 should be T/2 right?

Thanks.

 

[Doc Al]

If the tension in the string holding m1 is T, the tension on the string holding m2 should be T/2 right?

Right, assuming that the pulleys are massless and frictionless.

 

[nlightner]

Yes, your concept is correct. In a simple pulley system, the tension in the string is equal throughout the system. This means that the tension in the string holding m1 and the tension in the string holding m2 will be the same, which is T. However, since the string is supporting two masses, the tension will be divided equally between the two strings, resulting in T/2 for each string. This is known as the principle of mechanical advantage in pulley systems, where the load is distributed among multiple strings, reducing the tension required to lift the load. I hope this helps clarify your understanding of pulley systems.