What upward force is needed to achieve rotational equilibrium in the?

Question

What upward force is needed to achieve rotational equilibrium in the figure below?

Figure:http://img387.imageshack.us/img387/7425/equi2bc5.png

Answer: 6.1x10^2N

Answer 1

The rod is pivoted at the left-end....

The net torque about the axis normal to the plane of rotation, and passing thru the left-end should be zero.

hence...

48F - 270*12 - 1080*24 = 0

(All forces in Newtons and all distances in m)

hence,

F = 270/4 + 1080/2 N =  607.5 N