What is the tension in a system of 2 pulleys when acceleration is 0?

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In a system of two pulleys with zero acceleration, the tension T can be calculated by considering the weights involved. For case a, the tension is determined by the sum of the weights of the bottom pulley (Ws) and the weight (W) being supported. In case b, the tension is affected by the redirection of force through the pulley. Case c involves balancing two masses on the pulley, with the tension measured from one mass. Understanding the forces acting on the small pulley is crucial for calculating the overall tension in the system.
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Homework Statement


Calculate the tension T in case a, b, and c if acceleration = 0.

Ws = weight of the bottom pulley
W = weight of the weight

Homework Equations


mg - T = m*a

The Attempt at a Solution



For a, it just seems like T = Ws + Wm since the bottom pulley is connected to the top pulley.

For b, the force is being redirected by the pulley.

For c, two masses are balanced along the pulley yet only the tension of one mass is measured.
 

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Member69383 said:
For a, it just seems like T = Ws + Wm since the bottom pulley is connected to the top pulley.
Take a close look at the small pulley in the lower block. How many arrows point up from it? What force does each of those arrows represent?
 
Just figured it out. Thanks!
 
Last edited:
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