Determine the force in a pulley system

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SUMMARY

The discussion focuses on determining the mass of block B in a pulley system where block A has a mass of 300 kg. The system is analyzed using the equilibrium equation ΣFy=0, indicating that the forces acting on the system must balance. The tension in the blue string is derived from the fact that the middle pulley experiences two tensions (2Tb) pulling it downward, which directly influences the calculations for block B's mass to maintain balance.

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Homework Statement


If A has a mass of 300kg, determine the mass of B if the system in figure P4-28 is to be in balance.
(What I couldn't understand is the 2Tb in the answer.)

Homework Equations


ΣFy=0[/B]

The Attempt at a Solution


Since the pulley on top is connected with two pulley at the bottom, its force is doubled?
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The middle pulley (above block B) has two tensions Tb pulling it downward (red string in figure below). So what must be the tension in the blue string?

upload_2016-11-14_14-35-48.png
 

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