Tension Force between two rotating masses on strings

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SUMMARY

The discussion focuses on calculating the tension forces (T1 and T2) in a system of two rotating masses, m1=0.3 kg and m2=0.7 kg, connected by massless strings of lengths L1=0.2 m and L2=0.26 m, rotating at a constant angular frequency of ω=57.6 radians/s. The relevant equations include F=ma, A=V^2/r, and the relationship ω=rad*r, which describes the relationship between angular velocity and radius. Participants emphasize that the radius varies for each mass, leading to different tension values in the strings. The discussion highlights the importance of applying these equations correctly to derive the tensions.

PREREQUISITES
  • Understanding of rotational dynamics
  • Familiarity with Newton's second law (F=ma)
  • Knowledge of centripetal acceleration (A=V^2/r)
  • Basic grasp of angular motion concepts (ω=rad*r)
NEXT STEPS
  • Calculate tension T1 using the mass m1 and its corresponding radius.
  • Calculate tension T2 using the mass m2 and its corresponding radius.
  • Explore the effects of varying angular frequency on tension in rotating systems.
  • Study examples of tension in multi-body systems in rotational dynamics.
USEFUL FOR

Physics students, mechanical engineers, and anyone studying rotational dynamics and tension forces in multi-body systems will benefit from this discussion.

NarcolepticPig
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Homework Statement



Two balls with masses m1=0.3 kg and m2=0.7 kg are connected by massless strings with lengths L1=0.2 m and L2=0.26 m, as shown. The arrangement of strings and masses rotates at constant angular frequency ω=57.6 radians/s around a fixed pivot point. Find the two tensions, T1 and T2. There is no gravity in this problem.

Homework Equations



So, here are equations I believe are relevant.

F=ma
A=V^2/r
ω=rad*r

So, I'm struggling trying to find the different tensions between the two strings. I think that the radius will change depending on which ball you are looking at and therefore the tensions will be different.

Any tips?
 
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Hi NarcolepticPig and welcome to PF.:welcome:

Can you find the tension in one string? If so, then you can find the tension in the other string the same way. Use the equations that you have posted. I am not sure what the third equation ω = rad*r means.
 

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