How Do You Calculate Rope Tension with a Hanging Boy?

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To calculate the tension in the rope with a boy weighing 400N hanging in the middle, the angle of 170 degrees at his hands must be considered. A tip-to-tail drawing can help visualize the forces involved. Trigonometric functions can be applied to resolve the forces and find the tension in each segment of the rope. The discussion emphasizes the importance of proper labeling in the drawing for accurate calculations. Ultimately, using trigonometry is key to solving for the tension in this scenario.
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Homework Statement


A boy weighing 400N hangs on the middle of a rope stretched between two trees. The rope sags in such a way that it makes an angle of 170o at the boy's hands. What is the tension in each rope?


Homework Equations


I'm not sure :S:S



The Attempt at a Solution


Well I drew the question out into a tip-to-tail drawing,
but I'm unsure of what else to do :S
 
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Well I don't know what your drawing looks like or if you've got everything labelled properly but you should be able to use trig to solve for the tension.
 

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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