Physically moving an object in sync with a video

Hello all, I am working on a project where I am synchronizing the vertical movement of a panel (about 80g) to move up and down (~6cm) to the changes in a video. -the structure is pretty lightweight, and the movement is quite limited-

To determine the (servo) motor I will use, I'm using :

F=mgv +.08kg x 9.82m/s2 x 0.1 = 7.7N
T=F.d = 7.7N x 0.06m = 0.462 Nm

Am I missing anything in this ?

Also I am using Processing to play the video and to sync to arduino. I'm in the process of figuring out how these to mechanisms can speak to each other.

I know this is rather complicated, so I would appreciate any help or suggestions you might have, on the structure or coding.

Thank you very very much !

What have you got so far?