In an engine governor, the two spheres (total mass of 1.0kg) are at 0.05m and rotating at 37rad/s if the engine increases the angular velocity to 58rad/s what is the new location of the spheres?

Here we can say that there is no external torque on this system

So here we can say that angular momentum is conserved

so here we will have

now we have

similarly let the final distance is "r"

so now we have

now from above equation we have

so final distance is 0.04 m between them

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!