Torque - Lady on a diving board

[tascja]

Homework Statement

A woman whose weight is w = 500 N is poised at the right end of a diving board with a length of Lw = 3.90 . The board has negligible weight and is bolted down at the left end, while being supported L2 = 1.40 m away by a fulcrum, as figure shows. Find Forces F1 and F2 that the
bolt and the fulcrum, respectively, exert on the board.

Homework Equations

T= rFsin(theta)

The Attempt at a Solution

Since there are two unknown forces, can i solve for them separately, assuming the axis of rotation is different in each?
to solve for F1 i would have that the fulcrum in the axis of rotation, assuming F2 is 0 for acting on the axis of rotation. and for F2 i would have the fulcrum at the bolt...

 

[method_man]

Homework Statement

A woman whose weight is w = 500 N is poised at the right end of a diving board with a length of Lw = 3.90 . The board has negligible weight and is bolted down at the left end, while being supported L2 = 1.40 m away by a fulcrum, as figure shows. Find Forces F1 and F2 that the
bolt and the fulcrum, respectively, exert on the board.

You can calculate momentuma around bolt.
ΣM=0 F₂*1,4 - w*3.9=0
F₂=w*3.9/1,4
After you get F₂, you can easily calculate F₁:F₁=F₂ - w