How can you determine the forces in equilibrium without using calculus?

AI Thread Summary
To determine forces in equilibrium without calculus, focus on the concept that the net force acting on each point in a system must equal zero. Analyze the forces acting on each ring at points A, B, and C, considering both tension in the cords and any applied forces. Use free-body diagrams to visualize and sum the forces in each direction, ensuring they balance out. The maximum force that each cord can withstand can be considered in the context of these equilibrium conditions. A systematic approach using algebraic equations can simplify the problem without the need for derivatives.
quantum_enhan
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Homework Statement


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The Attempt at a Solution


I'm not entirely sure how to go about this question, and what to do with the maximum force that each cord can withstand. I tried setting up an equation, then taking a derivative to solve it for the maximum, but I bet there is an easier way, since the derivative got quite messy... Suggestions?
 
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Nothing moves, so what do you know about the net force acting on each ring at A, B and C?

p.s. By the way, calculus is not needed here.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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