Calculating the Height of a Swinging Man on a 24m Building with a 24m Rope

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To determine the height of the swinging man when the rope breaks, the key concepts involve using energy conservation and tension calculations. The man swings from a height of 24 meters, and the rope's tension must not exceed twice his weight. The relevant equation is ½mv² = mgh, where h is the height above ground and depends on the angle of the swing. The discussion reveals confusion around calculating the angle at which the rope breaks, with one participant suggesting an angle of 60 degrees but finding it incorrect. Ultimately, understanding the relationship between tension, weight, and height is crucial for solving the problem.
Physics_Noob
A Man is on a 24 metre tall Building, and is going to swing from the top of this building to the Bottom of an Identical building on a rope. the Buildings are 24 metres apart, His rope is 24 metres long. He starts from Rest with the rope horizontal, but the rope will break if the tension force in it is twice the weight of the teacher. How high is the swinging man above ground level when the rope breaks?


_________---24 metres--- :smile:
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Hint, Aparently you use

½mv² = mgh
where h = r-rcosθ

m = mass
g = 9.81 m/s²
v = velocity
h = height
r = radius (24 metres)
 
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So what have YOU done so far? :-)
 
I don't know where to begin. I've never done this type of question before and sure never learned how to do it. I know bottom is Fc=T-Fg I don't know what to do when its at an angle. I came to a couple of answers where my angle where the rope breaks was 60 but It doesn't get me to the right answer. :confused:
 
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