How to calculate increasing force

[Fizzics]

We have a 'T' bar shaped frame with a pulley wheel at each end then a wire passing across the pulleys with a 10 kg weight attached to each end making each side perfectly balanced.
If we were to physically pull down the weight on one side thus upsetting the balance against gravity, could the force used to do this be calculated in an equation?

 

[billy_joule]

If we were to physically pull down the weight on one side thus upsetting the balance against gravity, could the force used to do this be calculated in an equation?

Ignoring friction, any non zero force will upset the equilibrium.
A single smote of dust on one side means the forces no longer cancel and acceleration will occur.

 

[CWatters]

We have a 'T' bar shaped frame with a pulley wheel at each end then a wire passing across the pulleys with a 10 kg weight attached to each end making each side perfectly balanced.
If we were to physically pull down the weight on one side thus upsetting the balance against gravity, could the force used to do this be calculated in an equation?

Not without further information. Specifically you need to know how fast you accelerate the weights. If you move them at constant velocity the required force is zero (assuming there is no friction).

 

[Fizzics]

Thanks.