Can Tension in Circular Motion Be Equal for Both Ropes?

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SUMMARY

The discussion centers on the tension in circular motion for two ropes supporting masses. It is established that the maximum tensions, T1max and T2max, are equal when applying the centripetal force formula F = mv^2/R. However, it is clarified that while tensions may be equal, the velocities of the masses must be calculated separately, as they do not experience the same centripetal force due to differing masses. This distinction is crucial for understanding the dynamics of the system.

PREREQUISITES
  • Centripetal force concepts
  • Understanding of tension in ropes
  • Basic physics equations involving mass and velocity
  • Knowledge of circular motion dynamics
NEXT STEPS
  • Study the relationship between mass and velocity in circular motion
  • Learn about the effects of varying mass on tension in ropes
  • Explore advanced applications of centripetal force in different systems
  • Investigate real-world examples of circular motion in engineering contexts
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of tension and centripetal force in circular motion scenarios.

Lori

Homework Statement


upload_2017-11-12_17-3-28.png


Homework Equations



F = mv^2/R

The Attempt at a Solution


I got that T1max = T2max because when i plugged into my formula for centripetal force, i get that both ropes end up with mv^2/R which means they are equal everywhere... Is this correct?
 

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If the tensions were equal there would be no net force on mass 1 and it would be in rectilinear motion.
 
Lori said:

Homework Statement


View attachment 214906

Homework Equations



F = mv^2/R

The Attempt at a Solution


I got that T1max = T2max because when i plugged into my formula for centripetal force, i get that both ropes end up with mv^2/R which means they are equal everywhere... Is this correct?
You have to calculate velocities for both masses as time period is same you can get relation between velocities. Here both masses is not moving with same centripetal force
 

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