Collaborative Physics Problem Solutions
7.4.24. Inside a smooth non-conducting sphere of mass $M$ and radius $R$, there are two identical beads of mass $m$ with charge $q$. Distance between beads $l$. Find the maximum speed of the sphere if the beads are released.
$$v=\sqrt{q^2m(2R-l)/[2\pi\varepsilon_0RlM(M+2m)]}$$