what is F?

Question

A weight of 1200 N rests on a lever at a point 0.50 m from a support . On the same side of the support, at a distance of 3.0 m from it, an upward force with magnitude F is applied. Neglect the weight of the board itself. If the system is in equilibrium, what is F?

Answer 1

The problem doesn't say that the lever is horizontal. I assume that it is. Call the support the fulcrum. CW torque = CCW torque. Assuming the support is on the left, the 1200N provides CW torque. F provides CCW torque.

CW torque = CCW torque
1200N*0.5 m = F*3.0 m

Solve for F.