Analyzing Tensions in a Mass-Weight System

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SUMMARY

The discussion centers on analyzing tensions in a mass-weight system, specifically addressing the calculations provided for different weights (5kg, 1kg, and 2kg). Participants critique the notation used, particularly the ambiguous representation of forces and tensions, such as "FT=FT=FT," which lacks clarity. The feedback emphasizes the need for distinct symbols for different tensions to enhance understanding and accuracy in calculations.

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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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