Moment of force, right? torque?
here it is
opening and closing of doors.(rotating about the axle)
for a fan, the motor applies torque to compensate for friction.
a wheel in a car rotates around its axle.
sliding down of a body from incline, normal force shifts its position to apply a torque to compensate for the torque by friction so as to give rotational equilibrium.
and then you have the toy named 'top' that rotates about a fixed axis.