Calculating Swinger Mass with Limited Information

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1MileCrash
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A rope has a max tension of 800N.

A swinger is pulled back so that the rope is 27 degrees from vertical.

What's the max mass of the swinger?

Ok... I have tried a few approaches. I can't relate potential to kinetic because I am not given height. And even if i could get to kinetic, i don't know mass!

I figure that tension must be able to support weight and apply the centripetal force,

T=mg + mv^2/r

But I have no r.. no length, no v.. what's the key?
 
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