7.4.24 | revision #13211 | Savchenko Solutions

Statement

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.

Solution

Answer

$v=\sqrt{q^2m(2R-l)/[2\pi\varepsilon_0RlM(M+2m)]}$