Forces in a Line: Examining the Relationship Between Mass and Force

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The discussion revolves around the relationship between mass and force, specifically questioning whether S1 equals mg/2 in a given scenario. Participants analyze the forces acting on the system, focusing on the implications of mass distribution and gravitational force. The reasoning includes examining the equilibrium of forces and the application of Newton's laws. Clarifications on the correct interpretation of the forces involved are provided to support the argument. The conversation emphasizes the importance of understanding fundamental physics principles to solve such problems accurately.
Heexit
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Hello!
1679570465759.png

In the following image, is it true that S1 = mg/2.
Thanks for answears!
 
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Thread 'Chain falling out of a horizontal tube onto a table'

Thread 'Chain falling out of a horizontal tube onto a table'

My attempt: Initial total M.E = PE of hanging part + PE of part of chain in the tube. I've considered the table as to be at zero of PE. PE of hanging part = ##\frac{1}{2} \frac{m}{l}gh^{2}##. PE of part in the tube = ##\frac{m}{l}(l - h)gh##. Final ME = ##\frac{1}{2}\frac{m}{l}gh^{2}## + ##\frac{1}{2}\frac{m}{l}hv^{2}##. Since Initial ME = Final ME. Therefore, ##\frac{1}{2}\frac{m}{l}hv^{2}## = ##\frac{m}{l}(l-h)gh##. Solving this gives: ## v = \sqrt{2g(l-h)}##. But the answer in the book...
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