Is Tension in a Pulley on Triangular Planes Always Equal?

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SUMMARY

The discussion centers on the mechanics of tension in a pulley system situated at the apex of an isosceles triangle. It is established that the tension in the string will not be equal if the masses of the particles on each side of the pulley differ. The presence of friction in the pulley introduces additional complexity, as it affects the net torques and the rotation of the pulley. Therefore, the assumption of equal tension is only valid under specific conditions where the masses are equal and friction is negligible.

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Homework Statement



There's a pulley at the apex of an isosceles triangle, with a particle hanging from the string at each side (plane). Would the tension in this string be the same in this situation?


Homework Equations





The Attempt at a Solution

 
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I'm assuming in this problem that the pulley is not frictionless, so it will respond to net torques and rotate. Are the "particles" on each side of the pulley equal in mass, or different? (It matters in this situation.)
 

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