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

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SUMMARY

The discussion focuses on calculating the height of a swinging man above ground level when the rope breaks during a swing from a 24-meter tall building using a 24-meter rope. The critical formula used is ½mv² = mgh, where h = r - rcosθ, with r being the length of the rope and θ the angle of the swing. The tension in the rope must not exceed twice the weight of the man for it to remain intact. Participants noted that the angle at which the rope breaks was calculated to be 60 degrees, but further clarification was needed to arrive at the correct height above ground level.

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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:
|XXXXXXX|
|XXXXXXX|
|XXXXXXX|
|XXXXXXX|
|XXXXXXX|
|XXXXXXX|

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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