Force required to level out a bookshelf with weights on it

[missashley]

Homework Statement

Leif and Paige are rearranging the heights of their movable bookshelves; they remove one of the 2kg, 0.6 m long shelves by the two of them holding opposite ends. A 5.0 kg stack of books is piled up on the shelf 0.2 m from Leif. How much force must Leif and Paige each exert to hold the shelf level?

Homework Equations

F = ma

The Attempt at a Solution

F = 1 * 5 * 10
F = 50 N up from Leif

F = 10 N up from Paige

I don't know how to calculate the mass in

Help please, i need like step by step help please, i don't think very good thanks

 

[DylanB]

the system you describe is in static equilibrium.

conditions for static equilibrium are:
net force = 0
net torque = 0

there are four forces acting here, it will help to draw a free body diagram for this problem.