Can Tension in Circular Motion Be Equal for Both Ropes?

AI Thread Summary
Tension in circular motion can be equal for both ropes if the centripetal forces are balanced. The formula F = mv^2/R indicates that for two masses connected by ropes, the tensions T1 and T2 can be equal if they experience the same centripetal acceleration. However, if the masses have different velocities, the tensions will differ due to varying centripetal forces. Calculating the velocities for both masses is essential to understand the relationship between the tensions. Therefore, while tensions can be equal under specific conditions, they often differ based on the motion of the masses involved.
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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