Pulley system -- Calculate the mass that balances this pulley system

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The discussion focuses on calculating the mass that balances a pulley system, with an emphasis on understanding the free body diagram. The user has calculated the force exerted by mass A but struggles with the tension in the rope and its variation. Clarification is sought on the tension forces acting on both masses A and B. Participants suggest working symbolically throughout the calculations to simplify the process and avoid unnecessary arithmetic. The conversation highlights the importance of accurately representing forces in a free body diagram for solving pulley problems.
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Homework Statement
Calculate the mass of mB that makes the system to be in equilibrium. Neglect the possible friction
Relevant Equations
Sin cos tan
pulley.png

I've been stuck at this pulley system for a while.
I've calculated the force of which A pulls => FA = sin25*50*9.82 = 208.5 N
But I get stuck on the free body diagram.
Can someone help and explain the freebody diagram
uträkning.png
 

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Let T be the tension in the rope. Does it vary along the rope? What is the tension force on mass A? On mass B?
 
Your work looks ok except for ##m_B=T##. What have you missed out?
As a matter of style, learn to work entirely symbolically, only plugging in numbers at the end. It has many advantages.
In the present case, you could have avoided some arithmetic since g would cancel.
 

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