Tension and Acceleration with a Pulley and Two Masses

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Homework Help Overview

The discussion revolves around a physics problem involving a mass on a frictionless table connected by a string to another mass hanging from a pulley. Participants are exploring concepts related to tension, net forces, and acceleration within this system.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss whether the net force on the string is zero and if the tension is equal on both sides when the system is accelerating. There are questions about the implications of the string's mass and the presence of friction in the pulley.

Discussion Status

Several participants have offered insights regarding the conditions under which tension may differ and the assumptions about massless components. There is ongoing exploration of the effects of friction and the implications for tension and acceleration.

Contextual Notes

Participants are considering the effects of assumptions such as the mass of the string and the pulley, as well as the presence of friction in the system. These factors are acknowledged as potentially influencing the outcomes of the problem.

rakeru
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Homework Statement



If there is a mass on a frictionless table connected by a string to another mass hanging from a pulley off the side of the table, is the net force on the string zero? Is the force of tension equal on both sides if the system is accelerating? Would both objects accelerate equally?
 
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We eagerly await your attempts at answers.
 
I mean, I think it would be equal.. but I'm not sure. Apparently it would be zero if the string has negligible mass.
 
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.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.
 
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.
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.
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. (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.
 
Another possibility is that there may be friction in the pulley's axle

Yeah i missed that point.
 
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 .

How is that there is difference in tensions,when the pulley is massless ?

Thanks!
 
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 .

In the torque equation, there'll be torque due to the force of friction.
 

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