I would word that a little differently. If a section of the string has mass m and acceleration a then the net force on it is ma. If the string is massless then that must be 0.projjal said:If the string is light the net force on it is zero; or else it is accelerating and so there should be some force on it.
Another possibility is that there may be friction in the pulley's axle. (We generally assume there is sufficient friction between the string and pulley to prevent slipping.) This would lead to a difference in tensions even if the pulley is massless.If the pulley is also massless, the tension on both sides will be same.And obviously both the objects will have same acceleration,provided the string is rigid.
Another possibility is that there may be friction in the pulley's axle
haruspex said:Another possibility is that there may be friction in the pulley's axle. (We generally assume there is sufficient friction between the string and pulley to prevent slipping.) This would lead to a difference in tensions even if the pulley is massless.
I do not understand the case when friction is present at the axle and the pulley is massless.
Writing torque equation,(T1-T2)R=Iα .But the R.H.S is zero as I=0.So,T1=T2 .
Tension in a pulley system is the force exerted on a rope or cable when it is pulled tightly from both ends. In other words, it is the force that is transmitted through the rope or cable when it is used to lift or move an object.
In a pulley system, the tension in the rope or cable is directly related to the acceleration of the masses being lifted or moved. As the tension increases, the acceleration also increases. This is because the tension in the rope or cable provides the necessary force to overcome the weight of the masses and accelerate them.
Tension in a pulley system can be calculated using the equation T=ma, where T is the tension, m is the mass being lifted or moved, and a is the acceleration of the masses. The value of T will vary depending on the specific setup and conditions of the pulley system.
In a pulley system with two masses, the acceleration of the system is directly proportional to the difference in mass between the two masses. This means that the larger the difference in mass, the greater the acceleration will be.
Friction can play a significant role in a pulley system, as it can affect both the tension and acceleration. Friction in the pulley or on the surface where the rope or cable is moving can decrease the tension and therefore decrease the acceleration. However, if the friction is reduced or eliminated, the tension and acceleration will increase.