Imagine something lika a helicopter rotor and blade, where you could measure the centripetal force from the centre of axis to the very base of the blade. The blade is uniform in profile and all of the centripetal force due to the mass of the blade is exerted on the first section of the blade.
The equation for centripetal force is $Fc = mv^2/r$.
where m= mass kg, v= velocity in radians, r= radius in metres, so the force on any unit length of blade is greater near the centre of rotation than near the tip.
How can I calculate the force due to a blade extending from say 0.1 m to 2m from the centre of rotation and probably plot it against angular velocity. Say the mass per metre length is 2kg. My limited knowledge of maths suggest integration is required?