Any easy ways to remember how to find the equilibrium force?

Yes.  'Equilibrium' means that the SUM of adding up all the forces acting on the object is ZERO.  

If you add up all the forces acting on the object and the sum is NOT zero, then the object is NOT in equilibrium.  The force you have to add to it is whatever it takes to cancel out (balance) all the forces that are there now.

Take the SUM you got when you added up all the existing forces.  To get equilibrium, ADD ON one new force with the SAME magnitude, in exactly the OPPOSITE direction.

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be