Gymnast Equilibrium: Tension Calc.

[steven10137]

[SOLVED] Gymnast equilibrium

Homework Statement

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

Homework Equations

$$\sum {F_{up} } = \sum {F_{down} }$$

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

Thanks in advance
Steven.

 

[Shooting Star]

Absolutely.

 

[steven10137]

thanks for clearing that up :)

Steven