Static Equilibrium Problem: A diving board

[Chandasouk]

Homework Statement

A diving board of length L is supported at a point a distance x from the end, and a diver weighing w_1 stands at the free end . The diving board is of uniform cross section and weighs w_2.

Find the force at the support point.

The Attempt at a Solution

I used the torque = 0 equation since this has to be an equilibrium, which also means the sum off all forces = 0 as well.

Net Torque=F_Support(x)-W_2(L/2)-W1(L-x) = 0

then

F_support = W_2(L/2)+W_1(L-x)/x

but that isn't correct

 

[Jebus_Chris]

The weight of the board acts at L/2 but that is not the distance from the pivot point.

 

[Chandasouk]

How would I find that distance from the pivot point?

 

[Jebus_Chris]

l/2 - x

 

[Chandasouk]

I got to Find the force at the end that is held down as well

Would it be

Net Torque= -F_down(L)+W_2(x)-W1(L) = 0

F_down = w_2(x)-w1(L)/L

?