Analyzing Tensions in a Mass-Weight System

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The discussion focuses on a student's solution regarding tensions in a mass-weight system, which lacks clarity in notation and definitions of forces. Reviewers express confusion over the repeated notation "FT=FT=FT" and suggest that it does not effectively convey the calculations. They note that the calculation for the 5kg mass indicates no vertical acceleration, which is assumed to be correct without proof. Additionally, the calculations for the 1kg and 2kg masses are acknowledged as acceptable, but the use of distinct symbols for different tensions is recommended. Overall, the feedback emphasizes the need for clearer notation and definitions to enhance understanding.
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Hi guys, could someone please have a look at my solution and let me know if it makes any sense.

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I don't understand your notation. Can you please define what the various forces represent. And what does FT=FT=FT mean?
 
Your "For 5kg" calculation appears to be showing that the mass on the table has no vertical acceleration. I think we can assume that without proof.
Your "For 1kg" and "For 2kg" calculations are ok except that you should use different symbols for the two different tensions.
As Chet notes, "FT=FT=FT" is not very illuminating, and I can make no sense of the calculation which follows.
 
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