Aspool is placed on tabletop. the static friction coefficient between the tabletop and the spool is high. if the string is pulled out over the top of the axle as shown, in which direction will the spool roll?

It will roll in the same direction as applied force

Explanation:

Here we know that friction is sufficient high to stop sliding on the surface

so here we can say that with respect to contact point at ground if we see the torque due to all applied forces on it then we can see that friction is passing through the same contact point, normal force and weight is also passing from the same contact point so here torque due to this forces will be zero.

now we have only one force due to which this spool will experience torque on it that is applied force by which it is pulled.

so it will start rolling in the same direction due to this applied force

so here the rolling of the spool is due to this applied force on the spool

conduct current i mean it makes sense