Answer:
F = 93.25 lb
Step-by-step explanation:
To solve this problem let's use the rotational equilibrium condition
Σ τ = 0
let's fix a reference system located at the end of the table, the position of Juan and assume the counterclockwise turns as positive
F_jhon 0 - w l / 2 - W (l-4.9) + F l = 0
F = w l / 2 + W (l -4.9) / l
where w is the weight of the table and W the weight of the box
let's calculate
F = (44.5 12/2 + 120 (12- 4.9)) / 12
F = 93.25 lb