When you lift the bottle up with your finger, it doesn't necessarily mean that

you are applying a force equal to the weight of the bottle.

The force can be bigger, it this case you create an acceleration according to the second law.

You need to make a bottle to push the SL forward, then you will know the required force.

Regards

"The force can be bigger"

Wrong..... can not be and is not bigger. and monkeys might fly out of your butt to.

The Force needed to lift the SL weight applied starts at 105 grams and decreases as RO rotates... when RO is allowed

to rotate under the force of the RO weight as SL weight is lifted..

"in this case you create an acceleration according to the second law."

Wrong.... Input (by lifting SL)and output (by RO weight falling) CAN BE simultaneous BUT DO NOT NEED TO BE.

If RO is NOT allowed to rotate by force of the RO weight (it remains at 90 deg.), as the SL weight is lifted,

the lifting force is constant at 105 grams through out the 22 degrees of lifting. period.

This lifting of SL is 22 / 40 of the distance the RO weight is lifted when the SL weight falls.

If after SL is lifted it (SL) is gradually lowered.... It will still cause the lifting of the RO weight. I was as careful to calibrate

every thing so that this would remain so.

Your considerations of acceleration are a misdirection.