I Pulley question -- Three pulleys lifting a mass...

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To keep the pulley system in equilibrium, a force F of 150N is required. The tensions in the strings are T_1 at 300N and T_2 at 150N, confirming that F is indeed 150N. The calculation assumes Earth's gravity as 10N, which simplifies the math. A point of clarification notes that tensions in the strings should not be represented as directed arrows until a free body diagram is created. Overall, the analysis of the pulley system appears accurate.
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pulley question
Hi, I have this pulley question, i have to find the force F that needs to be applied to the string to keep the system in equilibrium. I found 150N.
Is it correct?
T_1= 300N and T_2=150N so F is 150N.
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Using earth gravity as 10N (vs. 9.8), looks good to me.
 
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Nitpick: The tensions in the strings do not have direction so it makes little sense to draw them as arrows. It is only when you cut the string in a free body diagram that you get directed forces.
 
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This has been discussed many times on PF, and will likely come up again, so the video might come handy. Previous threads: https://www.physicsforums.com/threads/is-a-treadmill-incline-just-a-marketing-gimmick.937725/ https://www.physicsforums.com/threads/work-done-running-on-an-inclined-treadmill.927825/ https://www.physicsforums.com/threads/how-do-we-calculate-the-energy-we-used-to-do-something.1052162/
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