/sci/ - Science & Math

sup guys
I'm having some troubles understanding the direction of the torque in the example 1 in picrel

So, basically I drew a gyroscope experiment I saw on a lecture
the gyroscope is spinning and then a force is applied on one edge of the gyroscope

the torque I drew in red is correct but why is it so? shouldn't it be pointed towards the opposite direction?

for finding the direction of the torque I'm making the cross product between the force/weightforce I apply and the angular momentum (see example 2)

I mean, it makes sense that it spins the way it spins but i can't figure out why..
in order to make sense there should be a force pointing upwards, but what's that? is there even such a force? idk...