Gymnast equilibrium

1. Nov 15, 2007

steven10137

[SOLVED] Gymnast equilibrium

1. The problem statement, all variables and given/known data
A gymnast of mass 65.0kg hangs from two fixed rings as shown in the diagram.
The gymnast is stationary and the support ropes make an angle of 5.0degrees to the vertical.

Calculate the tension in each of the support ropes.

http://img401.imageshack.us/img401/8334/gymnastpu6.jpg [Broken]

2. Relevant equations
$$\sum {F_{up} } = \sum {F_{down} }$$

3. The attempt at a solution
Well I have drawn a free body diagram.
Is this attempt correct?

$$\begin{array}{l} \sum {F_{up} } = \sum {F_{down} } \\ 2\left[ {T\cos 5} \right] = 65 \times 9.8 \\ \Rightarrow T = 3.20 \times 10^2 N{\rm} \\ \end{array}$$
in each rope

Steven.

Last edited by a moderator: May 3, 2017
2. Nov 15, 2007

Shooting Star

Absolutely.

3. Nov 15, 2007

steven10137

thanks for clearing that up :)

Steven