An acrobat hangs from a trapeze with the tension in both ropes is 315 Newtons.What is the mass of the acrobat?

2 answers

Hmmmm.
on the trapeze, if it is still, hanging downward, mass*9.8=2*315
solve for msss

one the second, each side is holding half the weight.
(1/2 * 87.9*9.8)/tension= sin10.1deg
solve for tension.
M*g = 87.9 * 9.8 = 861.4 N. = Wt. of acrobat.

All angles are referenced to +x-axis.
T1*sin(180-10.1) + T2*sin(10.1) = 861.4.
0.1754T1 + 0.1754T2 = 861.4
T2 = T1
0.1754T1 + 0.1754T1 = 861.4
0.3507T1 = 861.4
T1 = 2456 N. = T2.
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